Academic literature on the topic 'Factorial number system'

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Journal articles on the topic "Factorial number system"

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Derevianko, Ya A., Yu I. Gorbenko, and О. О. Kuznetsov. "Factorial number system for nonlinear substitutions generation." Radiotekhnika, no. 209 (June 24, 2022): 38–58. http://dx.doi.org/10.30837/rt.2022.2.209.04.

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Modern cryptographic applications use cryptographic algorithms with a symmetric key. They provide high conversion rates and resistance to crypto-graphic attacks. To complicate the plaintext – cipher-text ratio, symmetric ciphers usually use nonlinear substitutions (S-boxes). S-boxes cryptographic metrics play a crucial role in ensuring resilience to most known attacks (differential, linear, algebraic, and other cryptanalysis methods). However, generating efficient s-boxes is a challenge. Even for small input/output sizes, there are an extremely large number of possible solutions. Usually, the
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Prasada Rao, D. S., and K. S. Banerjee. "A multilateral index number system based on the factorial approach." Statistische Hefte 27, no. 1 (1986): 297–313. http://dx.doi.org/10.1007/bf02932575.

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Banerjee, K. S. "On the multilateral index number system based on the factorial approach." Statistical Papers 29, no. 1 (1988): 309–16. http://dx.doi.org/10.1007/bf02924537.

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Banerjee, K. S. "On the Factorial Approach Multilateral Index Number System Satisfying base Invariance and Consistency." Calcutta Statistical Association Bulletin 40, no. 1-4 (1990): 51–64. http://dx.doi.org/10.1177/0008068319900505.

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WIT, ERNST, and ANTONINO ABBRUZZO. "Factorial graphical models for dynamic networks." Network Science 3, no. 1 (2015): 37–57. http://dx.doi.org/10.1017/nws.2015.2.

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AbstractDynamic network models describe many important scientific processes, from cell biology and epidemiology to sociology and finance. Estimating dynamic networks from noisy time series data is a difficult task since the number of components involved in the system is very large. As a result, the number of parameters to be estimated is typically larger than the number of observations. However, a characteristic of many real life networks is that they are sparse. For example, the molecular structure of genes make interactions with other components a highly-structured and, therefore, a sparse p
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Бычков, А. В. "Global Monitoring Information System for Epidemiologists (on the Material of Big Data on COVID-19)." Клиническая инфектология и паразитология, no. 4 (February 11, 2021): 386–404. http://dx.doi.org/10.34883/pi.2020.9.4.026.

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Цель. Рассмотреть эффективность паттернов проектирования, разработанных на региональном материале по COVID-19, в плане возможностей использования в глобальной мониторинговой информационной системе для эпидемиологов (здесь – ИС). В качестве паттернов ИС испытать 2-факторную математическую модель, прогнозирующую кумулятивное количество заболевших для регионов Швеция, Финляндия, и 3-факторную математическую модель, прогнозирующую кумулятивное количество заболевших и кумулятивное количество умерших для регионов США, Канада.Материалы и методы. Для 2-факторного, 3-факторного паттернов оценены коэффи
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Jaszczak, Adrian, and Artur Korniłowicz. "Partial Correctness of a Factorial Algorithm." Formalized Mathematics 27, no. 2 (2019): 181–87. http://dx.doi.org/10.2478/forma-2019-0017.

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Summary In this paper we present a formalization in the Mizar system [3],[1] of the partial correctness of the algorithm: i := val.1 j := val.2 n := val.3 s := val.4 while (i <> n) i := i + j s := s * i return s computing the factorial of given natural number n, where variables i, n, s are located as values of a V-valued Function, loc, as: loc/.1 = i, loc/.3 = n and loc/.4 = s, and the constant 1 is located in the location loc/.2 = j (set V represents simple names of considered nominative data [16]). This work continues a formal verification of algorithms written in terms of simple-named
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Fitousi, Daniel, and Daniel Algom. "A model for two-digit number processing based on a joint Garner and system factorial technology analysis." Journal of Experimental Psychology: General 149, no. 4 (2020): 676–700. http://dx.doi.org/10.1037/xge0000679.

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Rahman Sabri, Zahraa Abdul, Mohammed Subhi Altaweel, and Khalid Mohammed Dawod Al-Zubaidy. "Factorial Mating system Analysis for Several Lines and Their Hybrids in Maize (Zea mays L.)." IOP Conference Series: Earth and Environmental Science 1371, no. 5 (2024): 052004. http://dx.doi.org/10.1088/1755-1315/1371/5/052004.

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Abstract For the factorial hybridization procedure, ten pure maize lines were used as parents: DR-F-53, MA-F-53, H-4, DKC-F-59, IK-58, and ZP-595 for the males, and POL-F-6, SYM-F-53, MY-F-53, and SYN-F-54 for the females. Using a randomized full block design with three replications, seeds of both pure lines and hybrids were planted in the fields of the College of Agriculture and Forestry throughout the fall season of 2022. The purpose of this study was to investigate the impacts of general and particular combining ability, genetic factors, and heterosis. All attributes examined had a statisti
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Woolliams, J. A. "Modifications to MOET nucleus breeding schemes to improve rates of genetic progress and decrease rates of inbreeding in dairy cattle." Animal Science 49, no. 1 (1989): 1–14. http://dx.doi.org/10.1017/s0003356100004190.

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ABSTRACTThe effect of changes in the mating system on the rates of genetic progress and rates of inbreeding are considered for MOET nucleus breeding schemes. Methods are derived to calculate best linear unbiased predictors of breeding value in MOET schemes and the rate of inbreeding under selection. These are applied to different mating systems in which the numbers of sires and dams, and the number of offspring per sire and offspring per dam, remain constant.Results showed that compared with nested mating systems, factorial mating systems in which the maternal half-sibs are produced instead of
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Dissertations / Theses on the topic "Factorial number system"

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Горячев, Олексій Євгенійович, Алексей Евгеньевич Горячев та Oleksii Yevheniiovych Horiachev. "Преобразование двоичных кодов в перестановки на основе факториальной системы счисления". Thesis, Издательство СумГУ, 2012. http://essuir.sumdu.edu.ua/handle/123456789/27734.

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Борисенко, Олексій Андрійович, Алексей Андреевич Борисенко, Oleksii Andriiovych Borysenko та С. А. Дегтяр. "Порождение перестановок на основе факториальной системы счисления". Thesis, Издательство СумГУ, 2012. http://essuir.sumdu.edu.ua/handle/123456789/27741.

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Huang, Won-Chin Liao. "Applications of the Chinese Remainder Theorem to the construction and analysis of confounding systems and randomized fractional replicates for mixed factorial experiments." Diss., Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/54195.

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A well-known theorem in "Number Theory", the Chinese Remainder Theorem, was first utilized by Paul K. Lin in constructing confounding systems for mixed factorial experiments. This study extends the use of the theorem to cover cases when more than one component from some of the symmetrical factorials are confounded, and to include cases where the number of levels of factors are not all relative prime. The second part of this study concerns the randomized fractional replicates, a procedure which selects confounded subsets with pre-assigned probabilities. This procedure provides full informatio
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Lee, Chao-Ching, and 李昭慶. "A Secure E-Mail System Using Factorial Number Structure." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/89384548292486861276.

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碩士<br>亞洲大學<br>資訊工程學系碩士班<br>101<br>Electronic mail (e-mail) system are widely are used in Internet. A user usually needs to send an e-mail to a specific group of users via a secure delivery mechanism. In this paper, a new e-mail delivery mechanism using secure multicast key protocol with ID-based factorial number structure (ID-based FNS) is proposed in an encryption multicast system. In the e-mail delivery mechanism, the message of e-mail is required to encrypt first before sending out in order to safeguard the secrecy of the message on a public channel, such as wire-lined public switching comm
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Дегтяр, Сергій Олександрович, Сергей Александрович Дегтярь, Serhii Oleksandrovych Dehtiaruk та ін. "Генерація перестановок на основі факторіальної системи числення з використанням доповнюючого масиву". Thesis, 2013. http://essuir.sumdu.edu.ua/handle/123456789/44193.

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Перестановки часто використовуються на практиці для вирішення різних завдань, серед яких – завдання комбінаторної оптимізації, перешкодостійкою передачі даних і їх захисту від несанкціонованого доступу. Існує велика кількість методів отримання перестановок. Одним із способів побудови перестановок є використання факторіальних чисел, близьких до перестановок за своєю структурою і властивостями. Методи, що використовують для генерації перестановок факторіальних систем числення, володіють рядом переваг, таких як, здатність отримання перестановок великої довжини, можливість формування випадкових п
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Garrett, Paul M. "Understanding the cognitive mechanisms behind numerical cognition." Thesis, 2020. http://hdl.handle.net/1959.13/1418380.

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Research Doctorate - Doctor of Philosophy (PhD)<br>Quantities and numbers have shaped the collective course of human history, governing trade, science, mathematics, and warfare. The cognitive mechanisms that allow us to compare two quantities, or identify one numeral from another, are not well understood. In this thesis, I investigate the processes that govern numerical cognition. I present a series of investigations that identify how we combine information from two large quantities and two small quantities. Specifically, I identify the processing architecture (parallel vs serial) and workload
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Book chapters on the topic "Factorial number system"

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Shamir, Adi. "Factoring Large Numbers with the TWINKLE Device." In Cryptographic Hardware and Embedded Systems. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48059-5_2.

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Panda, Siba Kumar, Ankita Sahoo, and Dhruba Charan Panda. "Design and Implementation of a Factorial Circuit for Binary Numbers: An AVM-Based VLSI Computing Approach." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1483-8_7.

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Yao, Fulai, and Yaming Yao. "Optimal Control and Scheduling of Distribution Stations." In Efficient Energy-Saving Control and Optimization for Multi-Unit Systems. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4492-3_17.

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AbstractThe electricity generated by the power plant is sent to the distribution station, and then transmitted to factories, mines and households through the public power grid. An enterprise power distribution station may also have many transformers, and the number of transformers used and power distribution are adjusted to transmit power to each workshop. The electricity consumed by power transmission and distribution is very considerable, and a large number of scientists, scholars, students and engineers are engaged in research in this field. This chapter will discuss this issue.
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Martín, Ander, Mariluz Penalva, Fernando Veiga, Cristina Ruiz, and Víctor Martínez. "Decision Support System (DSS) for Manufacturing Engineering of Cans Rolling." In Lecture Notes in Mechanical Engineering. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-86489-6_18.

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Abstract Decision Support Systems (DSS) can help factory workers in the decision-making step of multiple tasks. In digital factories, these systems make use of data towards a human-centered manufacturing. Rolling of large and thick plates into cans is a common practice in the metal forming industry to fabricate pipes or tanks. The process is adjusted by trial and error with a high level of operator intervention. Furthermore, only a small number of cans are identical. The objective of this work is to prescribe, by means of a DSS, the process parameters to be applied by the operator in the machi
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Slama, Dirk. "AIoT in a Global, High-Volume Manufacturing Network (Bosch and Microsoft)." In The Digital Playbook. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-88221-1_28.

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AbstractBosch Chassis Systems Control (CC) is a division of Bosch that develops and manufactures components, systems and functions in the field of vehicle safety, vehicle dynamics and driver assistance. The products from Bosch CC combine cameras, radar and ultrasonic sensors, electric power steering and active or passive safety systems to improve driver safety and comfort. Bosch CC is a global organization with twenty factories around the world. Very high volumes, combined with a high product variety, characterize Bosch CC production. Large numbers of specially designed and commissioned machin
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Fabbris, Luigi, and Paolo Feltrin. "Mapping and factoring the 2007 ATECO categories in regard to specialised human capital." In Proceedings e report. Firenze University Press, 2021. http://dx.doi.org/10.36253/978-88-5518-461-8.18.

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The paper describes an exercise of classification of a subset of five-digit categories of the 2007 ATECO classification system of economic activities. The analysis is grounded on the hypothesis that economic sectors can be clustered according to the competency level required to human resources recently working in industries or services in Italy. The analysis may be useful to evaluate a possible relationship between economic development and education. The analysis consisted of a mapping and then a clustering of the Ateco categories according to the between-distribution dissimilarity of any poss
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Villotti, Samuel, Lukas Durst, and Robert Weidner. "Digital Twin for Evaluating Support Characteristics for Industrial Exoskeletons for Upper Body Activities." In Annals of Scientific Society for Assembly, Handling and Industrial Robotics 2022. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-10071-0_10.

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AbstractBeside the advancing trends in automation especially in regard to Industry 4.0, workers in industrial factories in non-automated work activities often face repetitive tasks with heavy workloads. Whenever methods or adaptions in both technology and organization are insufficient to optimize working conditions, personal-related interventions as exoskeletons come into question. They may prove successful in alleviating musculoskeletal disorders and relieving physical strain. The increasing number of exoskeletons often challenges users or companies to select or specify an appropriate specifi
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Carter, C. W. "Design of Crystallization Experiments And Protocols." In Crystallization of Nucleic Acids and Proteins. Oxford University PressOxford, 1992. http://dx.doi.org/10.1093/oso/9780199632459.003.0003.

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Abstract Despite the fact that most pure proteins should be expected to crystallize readily under some set of conditiom, that ‘winning combination’ of solution conditions may be rather hard to find a priori. Often, there is little apparent connection between the degree to which proper protocols are observed and the degree to which satisfactory results are obtained. For this reason one should assume the worst at the outset for any new macromolecule or intermolecular complex, and try to identify potentially important factors by setting up efficient screening trials. The best all-round experiment
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Balasubramanian, Kannan, and Ahmed Mahmoud Abbas. "Integer Factoring Algorithms." In Algorithmic Strategies for Solving Complex Problems in Cryptography. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-2915-6.ch017.

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Most cryptographic systems are based on an underlying difficult problem. The RSA cryptosystem and many other cryptosystems rely on the fact that factoring a large composite number into two prime numbers is a hard problem. The are many algorithms for factoring integers. This chapter presents some of the basic algorithms for integer factorization like the Trial Division, Fermat's Algorithm. Pollard's Rho Method, Pollard's p-1 method and the Elliptic Curve Method. The Number Field Sieve algorithm along with Special Number field Sieve and the General Number Field Sieve are also used in factoring l
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Kondratenko, Serhii, and Roman Krutko. "APPLICATION OF NONLINEAR REGRESSION MODELS IN BREEDING TECHNOLOGIES OF SELECTING PARENTAL PAIRS FOR THE CREATION OF HYBRIDS F1OF VEGETABLE SPECIES OF PLANTS." In Traditions and new scientific strategies in the context of global transformation of society. Publishing House “Baltija Publishing”, 2024. http://dx.doi.org/10.30525/978-9934-26-406-1-6.

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The construction of non-linear regression relationships between the characteristics of the manifestation of quantitative traits in parental forms and their hybrid progeny in the breeding of vegetable plant species, which allow the formation of prognostic models for the selection of parental pairs for crossing in order to achieve the maximum effect in terms of the level of manifestation of quantitative traits in the obtained progeny. The purpose of the article is to demonstrate the prognostic capabilities of the method of planning multifactorial experiments according to the compositional plan o
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Conference papers on the topic "Factorial number system"

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Biagiotti, S. F., and R. H. Frost. "The Use of Experimental Designs for Corrosive Oilfield Systems." In CORROSION 1997. NACE International, 1997. https://doi.org/10.5006/c1997-97009.

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Abstract A Design of Experiment (DOE) approach was used to investigate the effect of hydrogen sulfide (H2S), carbon dioxide (CO2) and brine composition on the corrosion rate of carbon steel. Three of the most common experimental design approaches (Full Factorial, Taguchi L4, and Alternate Fractional) were used to evaluate the results. This work concluded that: 1) CO2 and brine both have significant main and two-factor effects on corrosion rate, 2) H2S concentration has a moderate effect on corrosion rate, and 3) higher total dissolved solids (TDS) brine compositions appear to force gases out o
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Chen, Hsing-Chung, Chao-Ching Lee, Chuan-Hsien Mao, and Chun-Cheng Pan. "Secure Multicast Key Protocol for E-Mail System Using Factorial Number Structure." In 2013 Seventh International Conference on Innovative Mobile and Internet Services in Ubiquitous Computing (IMIS). IEEE, 2013. http://dx.doi.org/10.1109/imis.2013.108.

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Mezmaz, Mohand, Rudi Leroy, Nouredine Melab, and Daniel Tuyttens. "A Multi-core Parallel Branch-and-Bound Algorithm Using Factorial Number System." In 2014 IEEE International Parallel & Distributed Processing Symposium (IPDPS). IEEE, 2014. http://dx.doi.org/10.1109/ipdps.2014.124.

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Leroy, Rudi, Mohand Mezmaz, Nouredine Melab, and Daniel Tuyttens. "Work Stealing Strategies For Multi-Core Parallel Branch-and-Bound Algorithm Using Factorial Number System." In Programming Models and Applications. ACM Press, 2007. http://dx.doi.org/10.1145/2578948.2560694.

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Leroy, Rudi, Mohand Mezmaz, Nouredine Melab, and Daniel Tuyttens. "Work Stealing Strategies For Multi-Core Parallel Branch-and-Bound Algorithm Using Factorial Number System." In PPoPP '14: ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming. ACM, 2014. http://dx.doi.org/10.1145/2560683.2560694.

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Otsuka, Kenju, and Jyh-Long Chern. "Factorial Dynamic Pattern Memory in Globally Coupled Lasers." In Nonlinear Dynamics in Optical Systems. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.thb1.

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Recently, applicability of complex dynamics to information storage (memory) has been discussed in nonlinear optical systems. Spatial chaos memory was proposed in a bistable pixelsl1 and in a coupled bistable chain.2 Dynamic memory in a delayed feedback bistable system was demonstrated experimentally.3 On the other hand, Otsuka demonstrated that m a = (N − 1)! (N: number of oscillating modes) coexisting dynamical spatial patterns, i. e., antiphase periodic motions, can be selectively excited by applying seed signals to the modulated multimode lasers whose modes are globally coupled through spat
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Mahesh, A., Subramaniyan Baskar, Kumar Raju, and Nagarajan Gopinathan. "Numerical Investigation on Performance Based Methodology for Developing Vane Design of AC Duct." In International Automotive CAE Conference – Road to Virtual World. SAE International, 2024. http://dx.doi.org/10.4271/2024-28-0004.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;Airflow directionality in a vehicle cabin is one of the concerns of car owners, researchers, and vehicle manufacturers. After exposed/parked in hot ambient condition for a long time, HVAC system normally takes few minutes to cool down and reach an acceptable cabin temperature for the passenger comfort. To ensure proper airflow distribution inside the cabin, the AC duct &amp;amp; vanes ability to direct airflow must be evaluated. Objective of this work is to propose a methodology for developing the vane design of AC syste
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Johansson, Bjo¨rn, Raghu Kacker, Ru¨ediger Kessel, Charles McLean, and Ram Sriram. "Utilizing Combinatorial Testing on Discrete Event Simulation Models for Sustainable Manufacturing." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86522.

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This paper describes how combinatorial testing using covering arrays can be implemented to optimize discrete event simulation models of manufacturing systems for measures of sustainability. Discrete event simulation models often have hundreds of parameters and many test values for each parameter. Generally the interactions between the parameter-values are not well understood; this can lead to sub-optimization of the system. Most optimization engines and software for discrete event simulation packages use full factorial designs, which require many runs and hence a lot of computation time. In th
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Kaul, Sudhir, and Anoop K. Dhingra. "Response Surface Algorithms for Engine Mount Optimization in Motorcycles." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86407.

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This paper presents a Response Surface Modeling (RSM) approach for solving the engine mount optimization problem for a motorcycle application. A theoretical model that captures the structural dynamics of a motorcycle engine mount system is first used to build the response surface model. The response surface model is then used to solve the engine mount optimization problem for enhanced vibration isolation. Design of Experiments (DOE), full factorial and fractional factorial formulations, are used to construct the governing experiments. Normal probability plots are used to determine the statisti
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Siva, Manoj, Arvind Pattamatta, and Sarit Kumar Das. "A Numerical Study of Flow and Temperature Maldistribution in a Parallel Microchannel System for Heat Removal in Microelectronic Devices." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87476.

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A common assumption in basic heat exchanger design theory is that fluid is distributed uniformly at the inlet of the exchanger on each fluid side and throughout the core. However in reality, uniform flow distribution is never achieved in a heat exchanger and is referred to as flow maldistribution. Flow maldistribution is generally well understood for the macrochannel system. But it is still unclear whether the assumptions underlying the flow distribution in conventional macrochannel heat exchangers hold good for microchannel system. In this regard, extensive numerical simulations are carried o
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