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Journal articles on the topic 'Multi Objective Linear Model'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Schmitt, Thomas, Tobias Rodemann, and Jürgen Adamy. "Multi-objective model predictive control for microgrids." at - Automatisierungstechnik 68, no. 8 (2020): 687–702. http://dx.doi.org/10.1515/auto-2020-0031.

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AbstractEconomic model predictive control is applied to a simplified linear microgrid model. Monetary costs and thermal comfort are simultaneously optimized by using Pareto optimal solutions in every time step. The effects of different metrics and normalization schemes for selecting knee points from the Pareto front are investigated. For German industry pricing with nonlinear peak costs, a linear programming trick is applied to reformulate the optimization problem. Thus, together with an efficient weight determination scheme, the Pareto front for a horizon of 48 steps is determined in less tha

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Dara A. Hassan, Nezam M. Amiri, and Ayad M. Ramadan. "Solving Three Objectives Single-Machine Scheduling Problem Using Fuzzy Multi-Objective Linear Programming." Tikrit Journal of Pure Science 27, no. 6 (2023): 82–87. http://dx.doi.org/10.25130/tjps.v27i6.763.

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In this paper, three criteria scheduling problem of n jobs on a single machine is considered. Each of these n jobs is to be processed without interruption and becomes available for processing at time zero. The problem is to minimize three objectives simultaneously, which are the completion time, maximum tardiness, and maximum earliness. Here, we develop a fuzzy multi-objective linear programming (FMOLP) model for solving multi-objective scheduling problem in a fuzzy environment by using piecewise linear membership function (PLMF). A numerical example demonstrates the feasibility of applying th

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Jolai, Fariborz, Mahsa Soufi Neyestani, and Hamidreza Golmakani. "Multi-objective model for multi-period, multi-products, supplier order allocation under linear discount." International Journal of Management Science and Engineering Management 8, no. 1 (2013): 24–31. http://dx.doi.org/10.1080/17509653.2013.783193.

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Emam, Usama. "A Multi-Level Multi-Objective Quadratic Programming Problem with Fuzzy Parameters on Objective Functions." INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY 15, no. 5 (2016): 6738–48. http://dx.doi.org/10.24297/ijct.v15i5.1626.

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This paper proposes an algorithm to solve multi-level multi-objective quadratic programming problem with fuzzy parameters in the objective functions, This algorithm uses the tolerance membership function concepts and multi-objective optimization at each level to develop a fuzzy Max-Min decision model for generating satisfactory solution after applying linear ranking method on trapezoidal fuzzy numbers in the objective functions, An illustrative example is included to explain the results.

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Wang, Shi, Zhi Weng, and Bo Jin. "Multi-objective Optimization of Linear Proportional Solenoid Actuator." Applied Computational Electromagnetics Society 35, no. 11 (2021): 1338–39. http://dx.doi.org/10.47037/2020.aces.j.351138.

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This paper employed a multi-objective Genetic Algorithm (GA) process to optimize the structure parameters of Linear Proportional Solenoid (LPS). And designed objectives include magnitude of static push force, stability of push force with displacement in working range and push force to mass ratio. A two-dimensional finite element analysis model is presented to reduce the large calculation time generated by GA process. The optimization process result of LPS shape parameters is obtained and the optimal LPS is manufactured. Through using a high-precision measuring device in the static push force t

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Lee, Amy H. I., He-Yau Kang, and Chong-Lin Chen. "Multi-Objective Assembly Line Balancing Problem with Setup Times Using Fuzzy Goal Programming and Genetic Algorithm." Symmetry 13, no. 2 (2021): 333. http://dx.doi.org/10.3390/sym13020333.

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Assembly lines are often indispensable in factories, and in order to attain a certain level of assembly line productivity, multiple goals must be considered at the same time. However, these multiple goals may conflict with each other, and this is a multi-objective assembly line balancing problem. This study considers four objectives, namely minimizing the cycle time, minimizing the number of workstations, minimizing the workload variance, and minimizing the workstation idle time. Since the objectives conflict with each other, for example, minimizing the cycle time may increase the number of wo

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Azis, Chusnul Chatimah, Diah Chaerani, and Endang Rusyaman. "ANALYSIS OF MULTI-OBJECTIVE LINEAR ROBUST OPTIMIZATION MODEL WITH LEXICOGRAPHICAL METHOD." MEDIA STATISTIKA 17, no. 1 (2024): 57–68. https://doi.org/10.14710/medstat.17.1.57-68.

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Problems in robust multi-objective linear optimization are a class of optimization problems with uncertain data parameters which aim in the decision-making process to obtain the best results in certain circumstances by choosing various solution methods for the multi-objective. This research aims to formulate a multi-objective Robust Optimization (RO) model using the Lexicographic Method, then analyzing the existence and uniqueness of the solution. Furthermore, gap analysis on the topic was carried out using a Systematic Literature Review (SLR) approach with the Preferred Reporting Items for Sy

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Qi, Jun, Li Zheng Wang, and Shao Juan Su. "Study on Multi-Objective Greenness Planning Model for Liners." Applied Mechanics and Materials 505-506 (January 2014): 666–70. http://dx.doi.org/10.4028/www.scientific.net/amm.505-506.666.

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According to the characteristics of high-speed liners, the multi-objective scheduling optimization mathematical model of high speed liners is established from the greenness angle. And the quantitative indicators and qualitative indicators were organic combined. The integer linear programming method was adopted to optimize analysis. Finally verify the feasibility of this optimal dispatch model through an example. Thus a scientific, reasonable way is provided for the high-speed liners scheduling arrangement.

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Almotairi, Sultan, Elsayed Badr, M. Elsisy, F. Farahat, and M. El Sayed. "Performance Analysis of Fully Intuitionistic Fuzzy Multi-Objective Multi-Item Solid Fractional Transportation Model." Fractal and Fractional 8, no. 7 (2024): 404. http://dx.doi.org/10.3390/fractalfract8070404.

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An investigation is conducted in this paper into a performance analysis of fully intuitionistic fuzzy multi-objective multi-item solid fractional transport model (FIF-MMSFTM). It is to be anticipated that the parameters of the conveyance model will be imprecise by virtue of numerous uncontrollable factors. The model under consideration incorporates intuitionistic fuzzy (IF) quantities of shipments, costs and profit coefficients, supplies, demands, and transport. The FIF-MMSFTM that has been devised is transformed into a linear form through a series of operations. The accuracy function and orde

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Emam, O., E. Fathy, and M. Helmy. "An Interactive Model for Fully Fuzzy Multi-level Linear Programming Problem based on Multi-objective Linear Programming Technique." Journal of Advances in Mathematics and Computer Science 23, no. 4 (2017): 1–19. http://dx.doi.org/10.9734/jamcs/2017/34811.

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Saxena, Pratiksha, and Ravi Jain. "Bector-Chandra Type Duality in Linear Programming Under Fuzzy Environment Using Hyperbolic Tangent Membership Functions." International Journal of Fuzzy System Applications 8, no. 2 (2019): 68–88. http://dx.doi.org/10.4018/ijfsa.2019040104.

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Multi-objective optimization has been applied in many fields of science, including engineering, economics and logistics where optimal decisions need to be taken in the presence of trade-offs between two or more conflicting objectives. One approach to optimize a multi-objective mathematical model is to employ utility functions for the objectives. Recent studies on utility-based multi-objective optimization concentrates on considering just one utility function for each objective. But, in reality, it is not reasonable to have a unique utility function corresponding to each objective function. Her

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Pérez-Gosende, Pablo, Josefa Mula, and Manuel Diaz-Madroñero. "A bottom-up multi-objective optimisation approach to dynamic facility layout planning." International Journal of Production Research 62, no. 3 (2023): 626–43. https://doi.org/10.1080/00207543.2023.2168308.

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Dynamic facility layout planning (DFLP) involves determining an appropriate arrangement scheme of the elements making up the production system for each time period into which the planning horizon is divided. When formulating the problem as an optimisation model, using the traditional top-down approach is usual, which firstly determines the block layout (BL) and then the detailed layout (DL) of each work cell. However by this approach, the BL generates area constraints in the detailed phase, which sometimes limit its implementation. In this context, the present paper presents a multi-objective

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Bai, Lu, Shu Ming Liu, and Huan Huan Wang. "Theoretical Considerations of Joint Optimal Model for Water Allocation and Pipe Placement." Applied Mechanics and Materials 316-317 (April 2013): 715–18. http://dx.doi.org/10.4028/www.scientific.net/amm.316-317.715.

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Water shortage emerges and restricts the urban construction and the social-development due to the rapid expansion of the cities. Recent research mainly focuses on the water resources management or water distribution network management separately. In this paper, a joint optimal model for water allocation and water distribution network management is developed. In the first phase, a multi-objectives linear programming is used for the optimal allocation on multi-water resources for multi-users, in which cost and water conservation are regards as objectives. In the second phase, a non-linear model

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Batamiz, Aida, and Mehdi Allahdadi. "Finding efficient solutions in the interval multi-objective linear programming models." Yugoslav Journal of Operations Research, no. 00 (2020): 34. http://dx.doi.org/10.2298/yjor190817034b.

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The aim of our paper is to obtain efficient solutions to the interval multi- objective linear programming (IMOLP) models. In this paper, we propose a new method to determine the efficient solutions in the IMOLP models by using the expected value and variance operators (EVV operators). First, we define concepts of the expected value, variance, and uncertainty distributions, and present some properties of the EVV operators. Then, we introduce the IMOLP model under these operators. An IMOLP model consist of separate ILPs, but using the EVV operators and the uncertainty distributions, it can be co

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Taghizadeh, Kaveh, Morteza Bagherpour, and Iraj Mahdavi. "Application of Fuzzy Multi-Objective Linear Programming Model in a Multi-Period Multi-Product Production Planning Problem." International Journal of Computational Intelligence Systems 4, no. 2 (2011): 228. http://dx.doi.org/10.2991/ijcis.2011.4.2.11.

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Taghizadeh, Kaveh, Morteza Bagherpour, and Iraj Mahdavi. "Application of Fuzzy Multi-Objective Linear Programming Model in a Multi-Period Multi- Product Production Planning Problem." International Journal of Computational Intelligence Systems 4, no. 2 (2011): 228–43. http://dx.doi.org/10.1080/18756891.2011.9727779.

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Li, You, Bo Wang, and Junzo Watada. "A Fuzzy Multi-Objective Portfolio Selection Model with Piecewise Linear Transaction Costs." IEEJ Transactions on Electronics, Information and Systems 134, no. 6 (2014): 780–87. http://dx.doi.org/10.1541/ieejeiss.134.780.

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Senouci, Ahmed, and Hassan R. Al-Derham. "Genetic algorithm-based multi-objective model for scheduling of linear construction projects." Advances in Engineering Software 39, no. 12 (2008): 1023–28. http://dx.doi.org/10.1016/j.advengsoft.2007.08.002.

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Praveena, U. Johns, and J. Merline Vinotha. "Multi-Objective Electric Vehicle Transshipment Problem with Battery Swapping Technology Under Fuzzy Environment." Indian Journal Of Science And Technology 17, no. 46 (2024): 4874–84. https://doi.org/10.17485/ijst/v17i46.3280.

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Objectives: To evaluate the efficiency of the multi-objective battery-swapping electric vehicle transshipment problem by analyzing the total cost and time involved in the entire distribution process. Methods: A multi-objective battery-swapping electric vehicle transshipment model is formulated and a case study on a food grain company is considered to demonstrate the pertinent nature of this model. Due to real-life uncertainty, Fermatean fuzzy parameters are considered in this model. Existing neutrosophic fuzzy programming and linear weighted sum method have been used to obtain the solutions fo

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M., S. Osman, E. Emam O., and A. El Sayed M. "Multi-level Multi-objective Quadratic Fractional Programming Problem with Fuzzy Parameters: A FGP Approach." Asian Research Journal of Mathematics 5, no. 3 (2017): 1–19. https://doi.org/10.9734/ARJOM/2017/34864.

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The motivation behind this paper is to present multi-level multi-objective quadratic fractional programming (ML-MOQFP) problem with fuzzy parameters in the constraints. ML-MOQFP problem is an important class of non-linear fractional programming problem. These type of problems arise in many fields such as production planning, financial and corporative planning, health care and hospital planning. Firstly, the concept of the -cut and fuzzy partial order relation are applied to transform the set of fuzzy constraints into a common crisp set. Then, the quadratic fractional objective functions in eac

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Du, Jinghan, Minghua Hu, Jianan Yin, and Weining Zhang. "Multi-Objective Gate Allocation Problem Based on Multi-Commodity Network Flow Model." Applied Sciences 12, no. 19 (2022): 9849. http://dx.doi.org/10.3390/app12199849.

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Gate allocation has always been a fundamental but critical issue in the daily operation of airports, which is related to service quality and schedule efficiency. In order to obtain reasonable and efficient gate allocation results, in this paper, a multi-commodity network flow model is proposed to describe the gate allocation process in flight flow, based on which a multi-objective optimization model is constructed. It not only comprehensively considers the flight information of aircraft arrivals and departures, but also integrates the broader interests of passengers, airlines, and airports. To

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Dou, Xueping, and Tongfei Li. "Multi-Objective Bus Timetable Coordination Considering Travel Time Uncertainty." Processes 11, no. 2 (2023): 574. http://dx.doi.org/10.3390/pr11020574.

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This paper proposes a timetable coordination method for transfer problems in a bus transit system. With a given bus network, a stochastic mixed-integer linear programming (MILP) model has been formulated to obtain coordinated bus timetables with the objective of minimizing a weighted sum of the average value of total waiting time and its average absolute deviation value, allowing for random bus travel time. The vital decision variable is the terminal departure offset time of each target bus trip within a certain off-peak period. The robust MILP model can also be used to solve the first-bus tra

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Muslihin, Khoirunnisa Rohadatul Aisy, Endang Rusyaman, and Diah Chaerani. "Conic Duality for Multi-Objective Robust Optimization Problem." Mathematics 10, no. 21 (2022): 3940. http://dx.doi.org/10.3390/math10213940.

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Duality theory is important in finding solutions to optimization problems. For example, in linear programming problems, the primal and dual problem pairs are closely related, i.e., if the optimal solution of one problem is known, then the optimal solution for the other problem can be obtained easily. In order for an optimization problem to be solved through the dual, the first step is to formulate its dual problem and analyze its characteristics. In this paper, we construct the dual model of an uncertain linear multi-objective optimization problem as well as its weak and strong duality criteri

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Zhao, Chang Rong, Xiong Hua Guo, and Xiang Long Zeng. "Facility Layout of Manufacturing System and Design of Optimization Model." Advanced Materials Research 463-464 (February 2012): 1106–10. http://dx.doi.org/10.4028/www.scientific.net/amr.463-464.1106.

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In an increasingly competitive global environment, more and more engineering designers are aware of the importance of facility layout on the entire manufacturing system. With the diversification of products, the proportion of multi-species and one-piece small batch production systems increase, this study focuses on small and medium enterprises as the main target, and researches its facility layout of manufacturing system and design of optimization model. In this paper, we discuss the layout of manufacturing system according to the characteristics of small and medium enterprises, and give a fra

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Pirouz, Behzad, and Behrouz Pirouz. "Multi-Objective Models for Sparse Optimization in Linear Support Vector Machine Classification." Mathematics 11, no. 17 (2023): 3721. http://dx.doi.org/10.3390/math11173721.

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The design of linear Support Vector Machine (SVM) classification techniques is generally a Multi-objective Optimization Problem (MOP). These classification techniques require finding appropriate trade-offs between two objectives, such as the amount of misclassified training data (classification error) and the number of non-zero elements of the separator hyperplane. In this article, we review several linear SVM classification models in the form of multi-objective optimization. We put particular emphasis on applying sparse optimization (in terms of minimization of the number of non-zero elements

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Mada, Grandianus Seda, Nugraha K. F. Dethan, Fried Markus Allung Blegur, and Adriano Dos Santos. "WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM." BAREKENG: Jurnal Ilmu Matematika dan Terapan 16, no. 1 (2022): 293–304. http://dx.doi.org/10.30598/barekengvol16iss1pp291-302.

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The problems of linear programming are developing from time to time, and its complexity is constantly growing. Various problems can be viewed as a multi-objective fuzzy linear programming, multi-objective stochastic linear programming or a combination of both. This research is focused on examining Multi-Objective Fuzzy Stochastic Linear Programming (MOFSLP) with each of the objective functions has a different level of importance to decision makers, or better known as the nonsymmetrical model. The objective function of the linear program contains fuzzy parameters, while the constraint function

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Tuhin, Bera, and Kumar Mahapatra Nirmal. "A non-deterministic approach for solving multi-objective linear programming." Asia Mathematika 6, no. 3 (2022): 29——44. https://doi.org/10.5281/zenodo.7551561.

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This study develops a solution approach of multi-objective linear programming problem ($molp$-problem) in non-deterministic way. Here each objective function of $molp$-problem corresponds a decision set in which each decision is described in virtue of three independent states : degree of acceptance, degree of hesitation and degree of rejection. By cultivation of experts' hesitancy independently, the decision making becomes more realistic and promising in today's complexity. Taking intersection of all these sets, optimal decision of $molp$-problem is drawn. The methodology is based on a

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PHRUKSAPHANRAT, BUSABA, and ARIO OHSATO. "LINEAR COORDINATION METHOD FOR FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING PROBLEMS WITH CONVEX POLYHEDRAL MEMBERSHIP FUNCTIONS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12, no. 03 (2004): 269–85. http://dx.doi.org/10.1142/s0218488504002837.

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A fuzzy multi-objective decision-making with nonlinear membership functions is proposed in this paper by assuming that the decision maker has a fuzzy goal for each objective function. The fuzzy goals can be quantified by convex polyhedral membership functions, which are expressed by linguistic terms. The concept of the convex cone is used to formulate a normalized convex polyhedral penalty function, which can also be considered conversely as a convex polyhedral membership function. The most desirable value of membership functions are selected to be reference membership values of achievement of

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Yuan, Min, Yu Li, Wenqiang Xu, and Wei Cui. "Multi-Objective Optimization Model of Industrial Lubricants Based on Integer Nonlinear Programming." Applied Sciences 11, no. 18 (2021): 8375. http://dx.doi.org/10.3390/app11188375.

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Based on actual lubricating oil production data and the base oil performance indexes of an enterprise, two nonlinear blending schemes corresponding to viscosity and freezing point and four linear blending schemes corresponding to acid value, flash point, oxidation stability, and carbon residue are given in this paper. On the premise that the error of each index is less than 5%, a linear weighted multi-objective optimization model based on integer nonlinear programming considering cost and performance is established, and the lubricating oil blending scheme is obtained. The results show that the

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Mirzazadeh, Zahra Sadat, Javad Bani Hassan, and Amin Mansoori. "Assignment model with multi-objective linear programming for allocating choice ranking using recurrent neural network." RAIRO - Operations Research 55, no. 5 (2021): 3107–19. http://dx.doi.org/10.1051/ro/2021151.

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Classic linear assignment method is a multi-criteria decision-making approach in which criteria are weighted and each rank is assigned to a choice. In this study, to abandon the requirement of calculating the weight of criteria and use decision attributes prioritizing and also to be able to assign a rank to more than one choice, a multi-objective linear programming (MOLP) method is suggested. The objective function of MOLP is defined for each attribute and MOLP is solved based on absolute priority and comprehensive criteria methods. For solving the linear programming problems we apply a recurr

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ELASHHAB, Mohamed, and Abdullah Al-Otaibi. "OPTIMIZATION OF A SUSTAINABLE MULTI-OBJECTIVE, MULTI-PRODUCT, AND MULTI-ITEM SUPPLY CHAIN NETWORK USING Ɛ-LEXICOGRAPHIC PROCEDURE." International Journal of Engineering Technologies and Management Research 9, no. 5 (2022): 55–76. http://dx.doi.org/10.29121/ijetmr.v9.i5.2022.1162.

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In this paper, a mathematical model of multi-objective, multi-item, multi-product, and multi-period mathematical model has been developed in which several objectives; profit, total cost, and overall customer service level (OCSL) have been optimized using the Ɛ-lexicographic procedure. The potential network of supply chain may include two suppliers, one factory, and two retailers. The model considered the network design in addition to the production, inventory, and transportation planning in multi-periods. The proposed model is formulated using mixed-integer linear programming and solved by Xpr

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MU, LI-FENG, JIA-FU TANG, YI-ZENG CHEN, and CHUN-KIT KWONG. "A FUZZY MULTI-OBJECTIVE MODEL OF QFD PRODUCT PLANNING INTEGRATING KANO MODEL." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16, no. 06 (2008): 793–813. http://dx.doi.org/10.1142/s0218488508005625.

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Quality function deployment (QFD) is a well-known customer driven system and tool for planning and managing new product development. House of quality (HOQ) is used to translate customer requirements (CRs) into each stage of a product development in QFD. In the conventional QFD model, constant coefficients are employed to present the relationships between “What matrix” and “How matrix” and among “How matrixes". In order to break the hindrance of the representation of simple linear function in the structure of HOQ, an integrative approach considering Kano model into QFD planning are employed, an

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Zhang, Wei, Yumei Xing, and Dong Qiu. "Multi-objective Fuzzy Bi-matrix Game Model: A Multicriteria Non-Linear Programming Approach." Symmetry 9, no. 8 (2017): 159. http://dx.doi.org/10.3390/sym9080159.

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Maali, Yashar, and Nezam Mahdavi-Amiri. "A triangular type-2 multi-objective linear programming model and a solution strategy." Information Sciences 279 (September 2014): 816–26. http://dx.doi.org/10.1016/j.ins.2014.04.032.

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Herrero, J. M., X. Blasco, M. Martínez, C. Ramos, and J. Sanchis. "Non-linear robust identification of a greenhouse model using multi-objective evolutionary algorithms." Biosystems Engineering 98, no. 3 (2007): 335–46. http://dx.doi.org/10.1016/j.biosystemseng.2007.06.004.

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Dutta, D., and Pavan Kumar. "Application of fuzzy goal programming approach to multi-objective linear fractional inventory model." International Journal of Systems Science 46, no. 12 (2013): 2269–78. http://dx.doi.org/10.1080/00207721.2013.860639.

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Yan, Xin, Ruobing Qiu, and Jingxuan Yang. "Forest efficiency decision-making model based on linear weighted multi-objective genetic algorithm." Highlights in Science, Engineering and Technology 23 (December 3, 2022): 18–24. http://dx.doi.org/10.54097/hset.v23i.3122.

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It can not be negligible that climate change is a dire threat to countless people due to the development of our society and technology.To draw the applied range of the decision-making model of forest management plan, we set up Linear-weighted multi-objective genetic algorithm according to the ecological, economic and social factors of the forest ecosystem and determine the different weight of each factor through the entropy weight method.finally, we select the Pennsylvania Forest as an example to test our model.

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Sun, Qi, Tinghuan Chen, Siting Liu, Jianli Chen, Hao Yu, and Bei Yu. "Correlated Multi-objective Multi-fidelity Optimization for HLS Directives Design." ACM Transactions on Design Automation of Electronic Systems 27, no. 4 (2022): 1–27. http://dx.doi.org/10.1145/3503540.

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High-level synthesis (HLS) tools have gained great attention in recent years because it emancipates engineers from the complicated and heavy hardware description language writing and facilitates the implementations of modern applications (e.g., deep learning models) on Field-programmable Gate Array (FPGA) , by using high-level languages and HLS directives. However, finding good HLS directives is challenging, due to the time-consuming design processes, the balances among different design objectives, and the diverse fidelities (accuracies of data) of the performance values between the consecutiv

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Yang, Qi, Jing Shen, Xing Fan, et al. "A Multi-Objective Optimal Model for a Petroleum-Contaminated Aquifer Groundwater Remediation in Western Canada." Advanced Materials Research 518-523 (May 2012): 2054–57. http://dx.doi.org/10.4028/www.scientific.net/amr.518-523.2054.

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During the groundwater has been suffered from varies degrees pollution. It needs an approach to help decision maker to determine remediation strategies. In this study, a groundwater multi-objective model that includes two objectives (i.e. total remediation cost and average concentration after remediation) is proposed and successfully applied to a petroleum-contaminated aquifer located in western Canada. It can determine a remediation strategy through optimal software MATLAB after convert multi-objective into a non-linear objective using α liner weighting method.

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Jarernsuk, Saran, and Busaba Phruksaphanrat. "Solving Tea Blending Problems Using Interactive Fuzzy Multi-Objective Linear Programming." Processes 11, no. 1 (2022): 49. http://dx.doi.org/10.3390/pr11010049.

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Blending is a classical and well-known optimization problem that has been applied in the food, steel, and composite material industries. However, tea blending is more complicated than general problems due to the variety of products, processes, and sources of raw materials and semi-products. So, in this research, a fuzzy multi-objective model for the tea blending problem was proposed to minimize the total production cost and the deviation of quality target score; it provides a more robust and flexible method than existing models for complex real-world problems. Existing research works of a blen

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Batamiz, A., and M. Hladík. "Finding Efficient Solutions in Interval Multi-Objective Linear Programming Models by Uncertainty Theory." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 32, no. 06 (2024): 923–54. http://dx.doi.org/10.1142/s0218488524500235.

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Interval multi-objective linear programming (IMOLP) ímodels are one of the methods to tackle uncertainties. In this paper, we propose two methods to determine the efficient solutions in the IMOLP models through the expected value, variance and entropy operators which have good properties. One of the most important properties of these methods is to obtain different efficient solutions set according to decision makers’ preferences as available information. We first develop the concept of the expected value, variance and entropy operators on the set of intervals and study some properties of the e

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Albehery, Nagwa, Marwa A. Helal, and Amal F. Ghania. "Inverse Multi-Objective Optimization for Portfolio Allocation in Commercial Banks." Statistics, Optimization & Information Computing 13, no. 3 (2025): 977–92. https://doi.org/10.19139/soic-2310-5070-2188.

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Optimal portfolio allocation in commercial banks is a critical decision for financial institutions. This paper proposes a multi-objective linear programming model to address this challenge. To ensure the model's feasibility and efficiency, we employ a generalized inverse optimization approach, replacing regular optimality with Pareto optimality. We apply our proposed models to real data from Bank Misr, an Egyptian bank, during the finance year 2020/2021. The multi-objective model was solved using LINGO 19, while the inverse multi-objective model was solved using R programming. Our analysis of

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Tripathi, Shubham Kumar, and Ranjan Kumar. "Solving neutrosophic minimal cost flow problem using multi-objective linear programming problem." Journal of Information and Optimization Sciences 45, no. 4 (2024): 1093–104. http://dx.doi.org/10.47974/jios-1694.

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The Linear Programming (LP) model, renowned for its robust modeling capabilities, is a highly effective tool for solving real-world problems and optimizing tasks with specific objective. A key component of the LP model is the Minimum Cost Flow (MCF), which aims to minimize the transportation cost of a single product through a capacitated network. This article focuses on the MCF problem with neutrosophic arc cost, a scenario that often arises in real-world situations due to the complexity and uncertainty of data. The neutrosophic theory plays a crucial role in handling this vagueness. The prima

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Meng, Changhao, and Tao Fang. "Multi-objective Model for Sustainable Tourism: Juneau and Shanghai Cases." Theoretical and Natural Science 105, no. 1 (2025): 37–46. https://doi.org/10.54254/2753-8818/2025.22565.

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This study examines sustainable tourism in Juneau, Alaska, and Shanghai, addressing overtourism and environmental degradation. In 2023, Juneau received 1.6 million cruise tourists, generating $375 million but straining infrastructure and accelerating glacier retreat. To tackle these issues, a mathematical model is developed using ESG criteria, SDGs, and the GRI framework. The model incorporates tourist volume, revenue, and regulatory tools (e.g., caps, taxes), with objectives to minimize environmental impact, maximize social benefits, and enhance community satisfaction. Constraints such as emi

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Mirajkar, A. B., and P. L. Patel. "Optimal irrigation planning using multi-objective fuzzy linear programming models." ISH Journal of Hydraulic Engineering 18, no. 3 (2012): 232–40. http://dx.doi.org/10.1080/09715010.2012.721661.

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Zhang, Zhao Ning, Zhong Zhou Hao, and Zheng Gao. "A Multi-Objective Programming Model of Dynamic Adjusting Flight Traffic." Applied Mechanics and Materials 538 (April 2014): 127–33. http://dx.doi.org/10.4028/www.scientific.net/amm.538.127.

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To alleviate the conflicts between the current flight traffic demand and the resource constraints of airspace, we need to improve the restrictions of flow allocation caused by the static air traffic flow allocation mode. The author analyzes the optimal allocation problem of dynamic adjusting flight flow and draws the conclusion that the problem should satisfy multiple targets, such as low flight delays, low flight cost and balancing the load of the route. Then consider a variety of limiting factors, such as the capacity of the route, flight planning, emergency situations, etc. Then establish m

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Cui, Yan, Wei Lu, and Jun Teng. "Updating of structural multi-scale monitoring model based on multi-objective optimisation." Advances in Structural Engineering 22, no. 5 (2018): 1073–88. http://dx.doi.org/10.1177/1369433218805235.

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Structural safety assessments are implemented based on measured data, but the limited number of sensors restricts the comprehensive acquisition of response information in large complex structures. A concurrent multi-scale model utilises global and local simulation characteristics to expand the insufficient measured data. Thus, good global and local simulation capability is necessary for structural health monitoring-oriented multi-scale model, and the updating of this monitoring model needs to consider the multi-type responses that are obtained from different structural scales. However, the exi

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Kakran, Vandana Y., and Jayesh M. Dhodiya. "Multi-Objective Capacitated Solid Transportation Problem with Uncertain Variables." International Journal of Mathematical, Engineering and Management Sciences 6, no. 5 (2021): 1406–22. http://dx.doi.org/10.33889/ijmems.2021.6.5.085.

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This paper investigates a multi-objective capacitated solid transportation problem (MOCSTP) in an uncertain environment, where all the parameters are taken as zigzag uncertain variables. To deal with the uncertain MOCSTP model, the expected value model (EVM) and optimistic value model (OVM) are developed with the help of two different ranking criteria of uncertainty theory. Using the key fundamentals of uncertainty, these two models are transformed into their relevant deterministic forms which are further converted into a single-objective model using two solution approaches: minimizing distanc

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Kumar, Pavan, and Debashis Dutta. "Multi-objective linear fractional inventory model of multi-products with price-dependant demand rate in fuzzy environment." International Journal of Mathematics in Operational Research 7, no. 5 (2015): 547. http://dx.doi.org/10.1504/ijmor.2015.071280.

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Xu, Hong Tao, Yan Yang, Kai Yin, and Jiang Wang. "Research on Space Allocation Problem of Export Yard in Container Terminals." Applied Mechanics and Materials 543-547 (March 2014): 4202–7. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.4202.

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A multi-objective model is proposed, for export yard space allocation problem in container terminals, with the objectives to minimize the total distance to transport containers and the workload imbalance between blocks. An improved linear efficacy coefficient method is proposed to deal with both objectives in order to formulate the problem as a single-objective integer programming model.

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