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Journal articles on the topic 'Algebraic repair'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Dohi, T., H. Koshimae, N. Kaio, and S. Osaki. "Geometrical Interpretations of Repair-Cost Limit Replacement Policies." International Journal of Reliability, Quality and Safety Engineering 04, no. 03 (1997): 309–33. http://dx.doi.org/10.1142/s0218539397000217.

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The 'total time on test' (TTT) concept has proven to be a very useful tool in many reliability applications. The graphical method based on this concept gives geometrical interpretations to solutions of stochastic maintenance problems as well as estimates of the optimal policies directly from empirical failure or repair data. In fact, some renewal type of maintenance models such as age replacement and burn-in problems have been analyzed by applying the TTT concept. In this paper, we discuss a repair limit replacement problem with a cost constraint for determining the optimal cost–limit to stop

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2

Kempa, Wojciech M., Iwona Paprocka, Krzysztof Kalinowski, and Cezary Grabowik. "On Departure Process in a Production Model with Cyclic Working and Repair Periods." Advanced Materials Research 1036 (October 2014): 846–51. http://dx.doi.org/10.4028/www.scientific.net/amr.1036.846.

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A finite-buffer queueing system of the M/M/1/N type is used for modeling the operation of a single-machine production line with cyclic failure-free and repair periods. The arriving jobs enter randomly according to a Poisson process and are being processed individually with service times having the common exponential distribution. After an exponentially distributed working period a breakdown of the machine occurs, starting an exponentially distributed repair time during which the service process is stopped. At the completion epoch of the repair time a new working period begins and so on. A syst

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Andriani, Siti Puri, Triyanto Triyanto, and Farida Nurhasanah. "DEFRAGMENTATION THINKING STRUCTURE TO OVERCOME ERRORS IN ADDRESSING MATHEMATICAL PROBLEM." AKSIOMA: Jurnal Program Studi Pendidikan Matematika 10, no. 1 (2021): 339. http://dx.doi.org/10.24127/ajpm.v10i1.3441.

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This research is intended to describe students' procedural errors in solving problems derivative of algebraic functions and efforts to overcome these errors by using the defragmentation process. Error analysis is carried out based on the procedural error theory based on Elbrink which includes the following aspects of errors: 1) Mis-identification; 2) Mis-generalization; 3) Repair Theory; and 4) Overspecialization. The subjects in this study are students of class XII MIPA Islamic State Senior High School (MAN) 3 Tulungagung taken from snowball random sampling. In taking the subject, the researc

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4

Al-Rabadi, Anas. "Three-dimensional lattice logic circuits, Part II: Formal methods." Facta universitatis - series: Electronics and Energetics 18, no. 1 (2005): 15–28. http://dx.doi.org/10.2298/fuee0501015a.

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This paper introduces formal algebraic methods for the design of three-dimensional (3D) lattice circuits that were discussed in the first part of my article. New regular 3D logic circuits are introduced, where the application of ternary decompositions into regular three-dimensional lattice circuits is shown. Lattice circuits represent an important class of regular logic circuits that allow for local interconnections, predictable timing fast fault localization, and self-repair. The introduced design methods can be used for the automatic design of logic circuits in 3D for applications and future

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Liu, Guangjun, Wangmei Guo, Ximeng Liu, and Jinbo Xiong. "Security Analysis and Improvements on a Remote Integrity Checking Scheme for Regenerating-Coding-Based Distributed Storage." Security and Communication Networks 2021 (April 21, 2021): 1–8. http://dx.doi.org/10.1155/2021/6652606.

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Enabling remote data integrity checking with failure recovery becomes exceedingly critical in distributed cloud systems. With the properties of a lower repair bandwidth while preserving fault tolerance, regenerating coding and network coding (NC) have received much attention in the coding-based storage field. Recently, an outstanding outsourced auditing scheme named NC-Audit was proposed for regenerating-coding-based distributed storage. The scheme claimed that it can effectively achieve lightweight privacy-preserving data verification remotely for these networked distributed systems. However,

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Афоничев and Dmitriy Afonichev. "The optimal offset hauling branches to the deep part of the forest base." Forestry Engineering Journal 5, no. 3 (2015): 153–60. http://dx.doi.org/10.12737/14163.

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In this paper it is proved that the optimal value of the offset branches to the deep part of the forest resources should be supported by at least the cost of hauling by the timber moustache and highways, less the cost of construction, maintenance, repair, elimination of deep plot line. Composed of the target cost function, the derivative was equal to zero. As the result of algebraic operations an analytical function to determine the optimal offset branches to the deep part of the forest base. This dependence shows that the offset of the branches in the deep part of the forest base depends on t

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KARAGEORGOS, ANTHONY, NIKOLAY MEHANDJIEV, and SIMON THOMPSON. "RAMASD: a semi-automatic method for designing agent organisations." Knowledge Engineering Review 17, no. 4 (2002): 331–58. http://dx.doi.org/10.1017/s0269888903000572.

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Designing realistic multi-agent systems is a complex process, which involves specifying not only the functionality of individual agents, but also the authority relationships and lines of communication existing among them. In other words, designing a multi-agent system refers to designing an agent organisation. Existing methodologies follow a wide variety of approaches to designing agent organisations, but they do not provide adequate support for the decisions involved in moving from analysis to design. Instead, they require designers to make ad hoc design decisions while working at a low level

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Kornilovich, S. A., and B. S. Trofimov. "PRECISION, STABILITY ANALYSIS OF THE CRANKSHAFT GRINDING TECHNOLOGICAL PROCESS." Russian Automobile and Highway Industry Journal 15, no. 6 (2019): 878–85. http://dx.doi.org/10.26518/2071-7296-2018-6-878-885.

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Introduction. The article is devoted to the problem of the crankshafts quality of automotive tractor engines on the example of YaMZ - 238NB engines. Despite years of experience in the repair industry to implement the technological process of the crankshafts grinding during their restoration, the quality of its implementation is not sufficient. Therefore, for reducing errors in restoring crankshafts, as well as in any other parts, it is possible only if the reasons for their occurrence are promptly identified. The purpose of the research is to identify the reasons of the errors in the process o

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9

Tenekedjiev, Kiril, Simon Cooley, Boyan Mednikarov, Guixin Fan, and Natalia Nikolova. "Reliability Simulation of Two Component Warm-Standby System with Repair, Switching, and Back-Switching Failures under Three Aging Assumptions." Mathematics 9, no. 20 (2021): 2547. http://dx.doi.org/10.3390/math9202547.

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We analyze the influence of repair on a two-component warm-standby system with switching and back-switching failures. The repair of the primary component follows a minimal process, i.e., it experiences full aging during the repair. The backup component operates only while the primary component is being repaired, but it can also fail in standby, in which case there will be no repair for the backup component (as there is no indication of the failure). Four types of system failures are investigated: both components fail to operate in a different order or one of two types of switching failures occ

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Ershov, D. S., A. V. Malakhov, A. V. Talala, and R. Z. Khairullin. "Analysis of operation models of complex technical systems." Izmeritel`naya Tekhnika, no. 7 (August 30, 2023): 15–23. http://dx.doi.org/10.32446/0368-1025it.2023-7-15-23.

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A retrospective analysis of existing models of operation of complex technical systems with metrological support has been carried out. The models of failures and degradation of complex technical systems based on diffusion monotone and diffusion non-monotone distributions, the model of failures and degradation of complex technical systems based on three-parameter diffusion distribution are described. Failure and degradation models are used together with the classical model of E. I. Sychev and more complex models developed on its basis. For complex technical systems that allow full resource recov

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Nwadinobi, Chibundo Princewill, Bethrand Nduka Nwankwojike, and Fidelis Ibiang Abam. "Improved Markov stable state simulation for maintenance planning." Journal of Quality in Maintenance Engineering 25, no. 2 (2019): 199–212. http://dx.doi.org/10.1108/jqme-05-2017-0034.

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Purpose The purpose of this paper is to propose a software (Equipment State Simulator) used for predicting equipment performance parameters required for maintenance planning. Design/methodology/approach This maintenance software was developed from the derived stable state probability models using algebraic substitution and computation of total operational period, number of breakdowns, total downtime, mean time between failures and mean time to repair of equipment/component(s) at preventive maintenance and corrective maintenance states. The models were derived using mechanistic modeling techniq

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Grobler-Dębska, Katarzyna, Edyta Kucharska, and Jerzy Baranowski. "Formal scheduling method for zero-defect manufacturing." International Journal of Advanced Manufacturing Technology 118, no. 11-12 (2021): 4139–59. http://dx.doi.org/10.1007/s00170-021-08104-0.

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AbstractA defect prevention is a part of manufacturing company practice. Paper proposes a formal approach for solving scheduling problems with unexpected events as extension of general frameworks for Zero-Defect Manufacturing (ZDM) strategy. ZDM aims to improve the process efficiency and the product quality while eliminating defects and minimizing process errors. However, most of ZDM applications focus on using the technological achievements of Industry 4.0 to detect and predict defects, forgetting to optimize the schedule on the production line. We propose formal method to create predictive-r

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Prilutskii, Mikhail Kh, and Elena A. Kumagina. "Solving problems of volume scheduling for shipbuilding enterprises in conditions of limited resources." Russian Journal of Water Transport, no. 80 (September 19, 2024): 35–42. http://dx.doi.org/10.37890/jwt.vi80.508.

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The shipbuilding industry development strategy for the period up to 2035 and beyond is aimed at creating a new competitive shipbuilding industry based on the development of scientific, technical and personnel potential, optimization of production capacities, their modernization and technical re-equipment [1]. The paper is devoted to solving problems of volume-calendar production planning for shipbuilding enterprises when coordinating the production capacity of the enterprise with the resource needs to fulfill obligations determined by the generated order portfolio. Shipbuilding and ship repair

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14

Sadeghian, Omid, Arash Moradzadeh, Behnam Mohammadi-Ivatloo, Mehdi Abapour, and Fausto Pedro Garcia Marquez. "Generation Units Maintenance in Combined Heat and Power Integrated Systems Using the Mixed Integer Quadratic Programming Approach." Energies 13, no. 11 (2020): 2840. http://dx.doi.org/10.3390/en13112840.

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Yearly generation maintenance scheduling (GMS) of generation units is important in each system such as combined heat and power (CHP)-based systems to decrease sudden failures and premature degradation of units. Imposing repair costs and reliability deterioration of system are the consequences of ignoring the GMS program. In this regard, this research accomplishes GMS inside CHP-based systems in order to determine the optimal intervals for predetermined maintenance required duration of CHPs and other units. In this paper, cost minimization is targeted, and violation of units’ technical constrai

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15

Ohanian, Ihor, and Sergiy Yepifanov. "Diagnostic Model of Aircraft Turbine Engine Governor Pump." Transactions on Aerospace Research 2022, no. 2 (2022): 80–95. http://dx.doi.org/10.2478/tar-2022-0012.

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Abstract This paper presents a mathematical model for a hydromechanical fuel governor pump, to be used in parametric diagnostics. The design and operation of the governor are described. The main requirements of the model are formulated, its structure is determined, corresponding to the specifics of the diagnostic task, and assumptions to make the model simpler are presented (single-dimensional flow and absence of heat exchange). The presented model consists of idealized elements with lumped parameters (such as pressure and mass consumption of the working fluid), accounting for the compressibil

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16

Basmanov, Vladislav, Kyril Suntsov, and Valeryi Kholmanskikh. "Studies of reliability of power supply of the enterprise from the electric power system and autonomous loaded generators based on Markov processes." Problems of the Regional Energetics, no. 4(64) (November 2024): 188–99. https://doi.org/10.52254/1857-0070.2024.4-64.16.

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The purpose of this work is to substantiate the use of probabilistic components of the availa-bility factor of the power supply system (PSS) of the enterprise consisting of a electric power system and autonomous loaded generators, to calculate overpayments for electricity. To achieve this purpose, operation of the PSS during the last 5 years was studied. The PSS was considered as a restored system which has spinning reserve. The process of the PSS functioning was represented by a simple non-branching graph with one repair team and described by systems of differential and algebraic equations. T

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17

Li, Haizhen, Xin Feng, and Ankui Hu. "Mechanical and Numerical Assessment of Localized Soil Voids Under PCCP Joints." Buildings 14, no. 11 (2024): 3624. http://dx.doi.org/10.3390/buildings14113624.

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Uniform support from the surrounding soil is important for maintaining the stable operation of buried pipelines. For segmented prestressed concrete cylinder pipe (PCCP), localized soil voids around the joint due to leakage or engineering activities make the pipe unsupported partially and threaten its integrity and strength. In this paper, the impact of a localized soil void on a pipe joint is qualitatively assessed using a beam-on-elastic-spring approximation model. It further provides quantitative analysis through a nonlinear finite element (FE) model of PCCPs and the surrounding soil. The de

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18

Оганян, Игорь Валериевич. "МАТЕМАТИЧЕСКАЯ МОДЕЛЬ ТОПЛИВНОГО НАСОСА-РЕГУЛЯТОРА ТУРБОВАЛЬНОГО ДВИГАТЕЛЯ ВЕРТОЛЕТА". Aerospace technic and technology, № 7 (31 серпня 2020): 105–12. http://dx.doi.org/10.32620/aktt.2020.7.15.

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This article discusses the relevance of creating a mathematical model of a hydromechanical fuel regulator as the main component of the parametric diagnostics method. To understand the processes occurring during the operation of the fuel regulator, this article provides a brief description of its operation. Based on the problems solved by the diagnostic methods and the features of the fuel regulator, the basic requirements for its mathematical model are formulated and the structure of this model is determined. Several assumptions are made (one-dimensional flow of the working fluid and its zero

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19

Zub, Evgen, Viktor Tkachenko, Svitlana Sapronova, and Serhii Syvakivskiy. "Determining the influence of wheelset arrangement in the model 18-100 bogies on the level of steering efforts in the wheel-rail flange contacts." Eastern-European Journal of Enterprise Technologies 3, no. 7 (129) (2024): 38–46. http://dx.doi.org/10.15587/1729-4061.2024.304328.

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The object of this study is the process of directing the bogies of model 18-100 freight cars along a rail track, in particular, along curved sections of the track. The task to be solved was to determine the influence of wheelset arrangement on the level of steering forces in the flange contacts. A calculation diagram and a mathematical model of fitting the bogie into the curved section of the track have been built. The bogie loading scheme by external forces, including lateral rocking forces acting on the car in a curve, has been refined. In this case, the method of pseudo-statics of the mecha

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20

Bubnov, K. N., V. P. Zhukov, S. D. Gorshenin, and E. V. Barochkin. "Mathematical model of flow characteristics of steam turbine plant." Vestnik IGEU, no. 5 (October 31, 2022): 72–79. http://dx.doi.org/10.17588/2072-2672.2022.5.072-079.

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A large number of generating equipment installed at thermal power plants (TPPs) operate at the limit of their fleet life resource or beyond it. Malfunctions and defects occur during the entire period of operation of steam turbine plant (STP) of TPPs. It causes performance degradation of efficiency, reliability, and maneuverability of STP. Thus, the methods to provide monitoring over the technical position of the elements and/or functional units of steam turbine plant are to be applied. Hence, special attention is to be paid to the development of methods to monitor the technical position and di

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Sibagatullin, S. K., A. S. Kharchenko, and L. D. Devyatchenko. "APPLICATION OF MARKOV CHAINS TO THE ANALYSIS OF BLAST FURNACE OPERATION EFFICIENCY." Izvestiya Visshikh Uchebnykh Zavedenii. Chernaya Metallurgiya = Izvestiya. Ferrous Metallurgy 61, no. 8 (2018): 649–56. http://dx.doi.org/10.17073/0368-0797-2018-8-649-656.

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The article presents the results of modeling in a dynamic format of one of the most important parameters of any research object – the efficiency of its work. As the object of investigation, a blast furnace with a volume of 2014 m3 was chosen. The main parameters of the efficiency of this object are traditionally used daily productivity and specific consumption of coke; these two parameters were generalized in this paper. In this case, various algebraic signs of the influence of these parameters were taken into account in the generalized efficiency index. Taking into account the variation of ea

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Kubacki, Slawomir, Daniele Simoni, Davide Lengani, and Erik Dick. "An Extended Version of an Algebraic Intermittency Model for Prediction of Separation-Induced Transition at Elevated Free-Stream Turbulence Level." International Journal of Turbomachinery, Propulsion and Power 5, no. 4 (2020): 28. http://dx.doi.org/10.3390/ijtpp5040028.

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An algebraic intermittency model for boundary layer flow transition from laminar to turbulent state, is extended using an experimental data base on boundary layer flows with various transition types and results by large eddy simulation of transition in a separated boundary layer. The originating algebraic transition model functions well for bypass transition in an attached boundary layer under a moderately high or elevated free-stream turbulence level, and for transition by Kelvin–Helmholtz instability in a separated boundary layer under a low free-stream turbulence level. It also functions we

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Kontrec, Nataša, Stefan Panić, Biljana Panić, Aleksandar Marković, and Dejan Stošović. "Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making." Axioms 10, no. 2 (2021): 96. http://dx.doi.org/10.3390/axioms10020096.

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Reliability, the number of spare parts and repair time have a great impact on system availability. In this paper, we observed a repairable system comprised of several components. The aim was to determine the repair rate by emphasizing its stochastic nature. A model for the statistical analysis of the component repair rate in function of the desired level of availability is presented. Furthermore, based on the presented model, the approach for the calculation of probability density functions of maximal and minimal repair times for a system comprised of observed components was developed as an im

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Liu, Shengyu, Xiaogang Qi, and Lifang Liu. "Multi-Objective Task Scheduling of Circuit Repair." Axioms 11, no. 12 (2022): 714. http://dx.doi.org/10.3390/axioms11120714.

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With the development of technology and the increase of equipment usage intensity, the original support mode of circuit repair, with an ideal model and single objective, is no longer applicable. Therefore, we focus on improving the support mode of circuit repair in this article. First, in this article, we propose three rest strategies, and consider the scheduling optimization of flexible rest for repair teams, for the first time. We build a more scientific and comprehensive mathematical model for the task scheduling of circuit repair. Specifically, this model aims to maximize benefits and minim

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Harcourt, Ramsey R. "An Improved Second-Moment Closure Model of Langmuir Turbulence." Journal of Physical Oceanography 45, no. 1 (2015): 84–103. http://dx.doi.org/10.1175/jpo-d-14-0046.1.

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AbstractA prior second-moment closure (SMC) model of Langmuir turbulence in the upper ocean is modified by introduction of inhomogeneous pressure–strain rate and pressure–scalar gradient closures that are similar to the high Reynolds number, near-wall treatments for solid wall boundaries. This repairs several near-surface defects in the algebraic Reynolds stress model (ARSM) of the prior SMC by redirecting Craik–Leibovich (CL) vortex force production of turbulent kinetic energy out of the surface-normal vertical component and into a horizontal one, with an associated reduction in near-surface

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26

Wei, Yiqing, and Can Cao. "Preventive repair policy for a system with minor failure and catastrophic failure." Journal of Discrete Mathematical Sciences and Cryptography 20, no. 4 (2017): 945–56. http://dx.doi.org/10.1080/09720529.2017.1359378.

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27

Ahmed, Shakeel, Saqib Khalil, Shoaib Saleem Khan, Badar Uddin Ujjan, Mian Ayaz Ul Haq, and Waqas Noor Chughtai. "The Incidence and Treatment of Cerebrospinal Fluid Leakage Following Repair of Congenital Spinal Pathologies." Pakistan Journal of Medical and Health Sciences 16, no. 5 (2022): 1473–75. http://dx.doi.org/10.53350/pjmhs221651473.

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Objective: The study's goal is to find out how often individuals with myelomeningocele and TCS repair have leakage of cerebrospinal fluid. Study Design: Cross-sectional Place and Duration: Women medical college Abbottabad and Children hospital and the institute of child health, Multan, during from the period July, 2021 to Dec, 2021. Methods: There were 55 participants of both sexes in this research. Those being treated ranged in age from 5 to 20 years old. After obtaining written permission, we collected demographic data on each patient, including their age, gender, and BMI measurements. There

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Ahmed, Shakeel, Saqib Khalil, Shoaib Saleem Khan, Badar Uddin Ujjan, Mian Ayaz Ul Haq, and Waqas Noor Chughtai. "The Incidence and Treatment of Cerebrospinal Fluid Leakage Following Repair of Congenital Spinal Pathologies." Pakistan Journal of Medical and Health Sciences 16, no. 5 (2022): 1473–75. http://dx.doi.org/10.53350/pjmhs221651473.

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Objective: The study's goal is to find out how often individuals with myelomeningocele and TCS repair have leakage of cerebrospinal fluid. Study Design: Cross-sectional Place and Duration: Women medical college Abbottabad and Children hospital and the institute of child health, Multan, during from the period July, 2021 to Dec, 2021. Methods: There were 55 participants of both sexes in this research. Those being treated ranged in age from 5 to 20 years old. After obtaining written permission, we collected demographic data on each patient, including their age, gender, and BMI measurements. There

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Gvozdović, Nikola, Kristina Božić-Tomić, Ljubo Marković, et al. "Application of the Multi-Criteria Optimization Method to Repair Landslides with Additional Soil Collapse." Axioms 11, no. 4 (2022): 182. http://dx.doi.org/10.3390/axioms11040182.

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In current practice, the remediation of landslides has shown that the biggest problem is the increase in the number of works, and therefore the price of the works. This is due to several factors, including characteristic of the soil, such as the collapse (collapse) of the surrounding ground around the main slide during landslide remediation. Unless these soil erosion effects are taken into account, recovery costs will overrun, which can jeopardize the planned budget. This paper presents a multi-criteria optimization of landslide remediation using the PROMETHEE method and determines the optiona

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Kalenkova, Anna, Josep Carmona, Artem Polyvyanyy, and Marcello La Rosa. "Automated Repair of Process Models with Non-local Constraints Using State-Based Region Theory." Fundamenta Informaticae 183, no. 3-4 (2022): 293–317. http://dx.doi.org/10.3233/fi-2021-2089.

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State-of-the-art process discovery methods construct free-choice process models from event logs. Consequently, the constructed models do not take into account indirect dependencies between events. Whenever the input behaviour is not free-choice, these methods fail to provide a precise model. In this paper, we propose a novel approach for enhancing free-choice process models by adding non-free-choice constructs discovered a-posteriori via region-based techniques. This allows us to benefit from the performance of existing process discovery methods and the accuracy of the employed fundamental syn

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Kruchinin, Anatoliy M., Mikhail Ya Pogrebisskiy, Elena S. Ryazanova, and Andrey Yu Chursin. "Determining the Rational Electrical Operation Modes of Industrial Electric Arc Furnaces." Vestnik MEI 3, no. 3 (2021): 51–57. http://dx.doi.org/10.24160/1993-6982-2021-3-51-57.

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The choice of a rational electrical mode of existing or newly commissioned electric arc furnaces (EAFs) is a very difficult task for process engineers in view of the influence of external disturbing factors. Based on an electric arc heat-transfer model (EAHTM), a method is proposed, using which the problem of determining the optimal electrical operation mode can be solved with the minimal number of simplifications and assumptions, and with taking into account the specific features of a particular EAF. In solving the problem, the following factors are taken into account: the arc heat transfer c

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Wen, Yanqing, Baoliang Liu, Haiyan Shi, Shugui Kang, and Yuejiao Feng. "Reliability Evaluation and Optimization of a System with Mixed Run Shock." Axioms 11, no. 8 (2022): 366. http://dx.doi.org/10.3390/axioms11080366.

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In this paper, we investigate a wear and mixed shock model in which the system can fail due to internal aging or external shocks. The lifetime of the system, due to internal wear, follows continuous phase-type (PH) distributions. The external random shocks arrive at the system according to a PH renewal process. The system will fail when the internal failure occurs or k1 consecutive external shocks, the size of at least d1 or k2 consecutive external shocks the size of at least d2 occur, where d1<d2, k1>k2. The failed system can be repaired immediately, and the repair times of the system a

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Sälzer, Marco, and Martin Lange. "Reachability in Simple Neural Networks." Fundamenta Informaticae 189, no. 3-4 (2023): 241–59. http://dx.doi.org/10.3233/fi-222160.

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We investigate the complexity of the reachability problem for (deep) neural networks: does it compute valid output given some valid input? It was recently claimed that the problem is NP-complete for general neural networks and specifications over the input/output dimension given by conjunctions of linear inequalities. We recapitulate the proof and repair some flaws in the original upper and lower bound proofs. Motivated by the general result, we show that NP-hardness already holds for restricted classes of simple specifications and neural networks. Allowing for a single hidden layer and an out

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Shang, Lifeng, Nan Zhang, Li Yang, and Lijun Shang. "Study of a Random Warranty Model Maintaining Fairness and a Random Replacement Next Model Sustaining Post-Warranty Reliability." Axioms 12, no. 3 (2023): 258. http://dx.doi.org/10.3390/axioms12030258.

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With the help of advanced digital technologies, product managers can use monitored mission cycles to sustain product reliability. In this study, a random warranty model and a random replacement next (RRN) model are designed to sustain the through-life reliability of the product with monitored mission cycles. The designed random warranty, called a two-stage two-dimensional free repair warranty (2DFRW), can be carried out to sustain the reliability of the product during the warranty stage. In this warranty, ‘whichever occurs first and last’ is used to distinguish the coverage ranges of the latte

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Shang, Lijun, Baoliang Liu, Li Yang, and Kaiye Gao. "Customizing Random Replacement Model and Flexible Warranty Model from the Perspective of Screening Reliability." Axioms 12, no. 4 (2023): 358. http://dx.doi.org/10.3390/axioms12040358.

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In the present academic and engineering fields, every measure function of product reliability is modeled and estimated from the statistical perspective. These indicate that there universally exist differences in the reliabilities of new identical products that survive the burn-in test. On the basis of the differences in the reliabilities of new identical products, designing through-life maintenance models for managing the different reliabilities is a very practical topic for engineering fields. In this study, a random warranty model and a random maintenance model are designed by screening prod

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Alyami, Salem A., I. Elbatal, Amal S. Hassan, and Ehab M. Almetwally. "Engineering Applications with Stress-Strength for a New Flexible Extension of Inverse Lomax Model: Bayesian and Non-Bayesian Inference." Axioms 12, no. 12 (2023): 1097. http://dx.doi.org/10.3390/axioms12121097.

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In this paper, we suggest a brand new extension of the inverse Lomax distribution for fitting engineering time data. The newly developed distribution, termed the transmuted Topp–Leone inverse Lomax (TTLILo) distribution, is characterized by an additional shape and transmuted parameters. It is critical to notice that the skewness, kurtosis, and tail weights of the distribution are strongly influenced by these additional characteristics of the extra parameters. The TTLILo model is capable of producing right-skewed, J-shaped, uni-modal, and reversed-J-shaped densities. The proposed model’s statis

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Danilyuk, Elena, Alexander Plekhanov, Svetlana Moiseeva, and Janos Sztrik. "Asymptotic Diffusion Analysis of Retrial Queueing System M/M/1 with Impatient Customers, Collisions and Unreliable Servers." Axioms 11, no. 12 (2022): 699. http://dx.doi.org/10.3390/axioms11120699.

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In this paper, a retrial queueing system of the M/M/1 type with Poisson flows of arrivals, impatient customers, collisions, and an unreliable service device is considered. To make the problem more realistic and, hence, more complicated, we include the breakdowns and repairs of the service in this research study. The retrial times of customers in the orbit, service time, impatience time of customers in the orbit, server’s lifetime (depending on whether it is idle or busy), and server recovery time are supposed to be exponentially distributed. The problem of finding the stationary probability di

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Lauer, Alexander, Jens Kosiol, and Gabriele Taentzer. "Empowering model repair: a rule-based approach to graph repair without side effects—extended version." Innovations in Systems and Software Engineering, November 4, 2024. http://dx.doi.org/10.1007/s11334-024-00587-w.

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AbstractWorking with models can lead to inconsistencies, e.g., due to erroneous or contradictory actions during concurrent modeling processes. Modern modeling environments typically tolerate inconsistencies and support their detection. However, at a later stage of development, models are expected to be consistent, meaning their inconsistencies should be considered and resolved. The process of resolving model inconsistencies is commonly referred to as model repair. Our approach to model repair is semi-automatic in the sense that the repair tool computes appropriate repair plans and the modeler

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Li, Yuechen, Hanyu Pei, Linzhi Huang, Beibei Yin, and Kai-Yuan Cai. "Automatic Repair of Quantum Programs via Unitary Operation." ACM Transactions on Software Engineering and Methodology, May 11, 2024. http://dx.doi.org/10.1145/3664604.

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With the continuous advancement of quantum computing (QC), the demand for high-quality quantum programs (QPs) is growing. In order to avoid program failure, in software engineering, the technology of automatic program repair (APR) employs appropriate patches to remove potential bugs without the intervention of a human. However, the method tailored for repairing defective QPs is still absent. This paper proposes a new APR method named \(\texttt {UnitAR} \) that can repair QPs via unitary operation automatically. Based on the characteristics of superposition and entanglement in QC, the paper con

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Emmerson, Parker. "Anterolateral Lite 2." Journal of Liberated Mathematics, May 25, 2025. https://doi.org/10.5281/zenodo.15510371.

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The \emph{Anterolateral Lite 2} formalism arises from a need to robustly track analytic and symbolic distinctions that are often lost in traditional algebraic and geometric frameworks, especially in contexts involving multi-branched solutions and subtle phase phenomena, such as Lorentzian and radical expressions. Classical algebraic structures, which treat coordinates as atomic or globally coherent entities, are prone to \emph{branch collapse}: the unwanted identification of distinct solution branches through singularities, degenerate loci, or insufficiently expressive type systems. Building o

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Robersy, Sánchez, and Grau Ricardo. "Vector Space of the Extended Base-triplets over the Galois Field of five DNA Bases Alphabet." May 24, 2007. https://doi.org/10.5281/zenodo.1083505.

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A plausible architecture of an ancient genetic code is derived from an extended base triplet vector space over the Galois field of the extended base alphabet {D, G, A, U, C}, where the letter D represent one or more hypothetical bases with unspecific pairing. We hypothesized that the high degeneration of a primeval genetic code with five bases and the gradual origin and improvements of a primitive DNA repair system could make possible the transition from the ancient to the modern genetic code. Our results suggest that the Watson-Crick base pairing and the non-specific base pairing of the hypot

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Mazzulla, Michael, Hiroyuki Kato, Jeff Packer, Denise Wooding, and Daniel Moore. "Whole Body Net Protein Balance Plateaus in Response to Varying Protein Intakes During Post‐Exercise Recovery: Identification of a Maximal Anabolic Intake." FASEB Journal 31, S1 (2017). http://dx.doi.org/10.1096/fasebj.31.1_supplement.652.10.

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Dietary protein is important for the repair and/or rebuilding of skeletal muscle and body proteins and is required to induce a net anabolic environment during recovery from exercise. While the majority of studies assess the effect of protein intake on protein synthesis (S), maximizing net balance [NB; the algebraic difference between S and breakdown (B)] would presumably optimize post‐exercise recovery for athletes. Given the suggestion by some that there is no practical limit to the anabolic response to mixed meal ingestion at rest, the present analysis sought to determine whether net protein

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Rump, Wolfgang. "Quantum B-algebras." Open Mathematics 11, no. 11 (2013). http://dx.doi.org/10.2478/s11533-013-0302-0.

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AbstractThe concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic. The logic of quantales and its algebraic semantics manifests itself in a class of partially ordered algebras with a pair of implicational operations recently introduced as quantum B-algebras. Implicational algebras like pseudo-effect algebras, generalized BL- or MV-algebras, partially ordered groups, pseudo-BCK algebras, residuated posets, cone algebras, etc., are quantum B-algebras, and every quantum B-algebra can be recovered fr

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Kasim, Ehmet, and Geni Gupur. "Dynamic analysis of a complex system under preemptive repeat repair discipline." Boundary Value Problems 2020, no. 1 (2020). http://dx.doi.org/10.1186/s13661-020-01366-9.

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Daws, Matthew. "Completely bounded homomorphisms of the Fourier algebra revisited." Journal of Group Theory, January 4, 2022. http://dx.doi.org/10.1515/jgth-2021-0040.

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Abstract Assume that A ⁢ ( G ) A(G) and B ⁢ ( H ) B(H) are the Fourier and Fourier–Stieltjes algebras of locally compact groups 𝐺 and 𝐻, respectively. Ilie and Spronk have shown that continuous piecewise affine maps α : Y ⊆ H → G \alpha\colon Y\subseteq H\to G induce completely bounded homomorphisms Φ : A ⁢ ( G ) → B ⁢ ( H ) \Phi\colon A(G)\to B(H) and that, when 𝐺 is amenable, every completely bounded homomorphism arises in this way. This generalised work of Cohen in the abelian setting. We believe that there is a gap in a key lemma of the existing argument, which we do not see how to repair.

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Karimi, Negin, Ahmad Yousefian Darani, and Marcus Greferath. "Correcting adversarial errors with generalized regenerating codes." Advances in Mathematics of Communications, 2022, 0. http://dx.doi.org/10.3934/amc.2022005.

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<p style='text-indent:20px;'>Traditional regenerating codes are efficient tools to optimize both storage and repair bandwidth in storing data across a distributed storage system, particularly in comparison to erasure codes and data replication. In traditional regenerating codes, the collection of any <inline-formula><tex-math id="M1">\begin{document}$ k $\end{document}</tex-math></inline-formula> nodes can reconstruct all stored information and is called the reconstruction set, <inline-formula><tex-math id="M2">\begin{document}$ \aleph _R $\end{documen

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Cassano, Vito Michele, Cecilia Parra, Giovanni Bonino, and Alberto Di Carlo. "3D Printing Dressing in Treatment of Diabetic Ulcer: A Case-Series." Journal of Diabetes Research Reviews & Reports, September 30, 2022, 1–4. http://dx.doi.org/10.47363/jdrr/2022(4)157.

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Diabetic foot syndrome is defined as infection, ulceration, or destruction of deep tissues of the foot (including bones) in a patient with diabetes mellitus. Complex and multifactorial management of diabetic foot ulcer is necessary to reduce costs and ensure faster healing and avoid limb amputation. In this, dressings play a key role in stimulating tissue repair. In the case series we present we have exper-imented with the use of 3D printing resorbable biopolymers gauze in diabetic vascular ulcers. In both cases the lesions healed with a period of around 3 months with signs of improvement in t

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Kincheloe, Pamela J. "The Shape of Air: American Sign Language as Narrative Prosthesis in 21st Century North American Media." M/C Journal 22, no. 5 (2019). http://dx.doi.org/10.5204/mcj.1595.

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The word “prosthetic” has its origins as a mathematical term. According to scholar Brandon W. Hawk, Plato uses the words prosthesis and prostithenai in Phaedo to mean "addition, add to, to place", and Aristotle uses it in a similar, algebraic sense in the Metaphysics. Later, as the word appears in classical Latin, it is used as a grammatical and rhetorical term, in the sense of a letter or syllable that is added on to a word, usually the addition of a syllable to the beginning of a word, hence pro-thesis (Hawk). This is the sense of the word that was “inherited … by early modern humanists”, sa

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