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The Best-Worst Method (BWM) is a well-known Multi-Criteria Decision-Making (MCDM) method. This article deals with the multiplicative model of BWM. We first formulate an optimization model that is equivalent to the existing multiplicative…

Optimization and Control · Mathematics 2025-01-29 Harshit Ratandhara , Mohit Kumar

The Best-Worst Method (BWM) is a well-known distance based multi-criteria decision-making method used for computing the weights of decision criteria. This article examines a taxicab distance based model of the BWM, with the objective of…

Optimization and Control · Mathematics 2025-04-07 Harshit Ratandhara , Mohit Kumar

The nonlinear model of the best-worst method frequently produces multiple optimal weight sets, which are conventionally determined through optimization software. While an analytical approach exists that provides both a closed-form…

Optimization and Control · Mathematics 2026-02-02 Harshit M. Ratandhara , Mohit Kumar

Preference disaggregation methods in Multi-Criteria Decision-Making (MCDM) often encounter challenges related to inconsistency and cognitive biases when deriving a value function from experts' holistic preferences. This paper introduces the…

Optimization and Control · Mathematics 2025-05-19 Matteo Brunelli , Fuqi Liang , Jafar Rezaei

Selecting the optimal radio access technology (RAT) during vertical handovers (VHO) in heterogeneous wireless networks (HWNs) is critical. Multi-attribute decision-making (MADM) is the most common approach used for network selection (NS) in…

Networking and Internet Architecture · Computer Science 2025-04-03 Brahim Mefgouda , Hanen Idoudi , Mohammad Al-Quraan , Ismail Lotfi , Omar Alhussein , Lina Mohjazi , Sami Muhaidat

In observational studies, weighting methods that directly optimize the balance between treatment and covariates have received much attention lately; however these have mainly focused on binary treatments. Inspired by domain adaptation, we…

Statistics Theory · Mathematics 2020-02-27 Guillaume Martinet

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

This paper presents a new complex optimization problem in the field of automatic design of advanced industrial systems and proposes a hybrid optimization approach to solve the problem. The problem is multi-objective as it aims at finding…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Václav Jirkovský , Jiří Kubalík , Petr Kadera , Arnd Schirrmann , Andreas Mitschke , Andreas Zindel

Bilinear matrix inequality (BMI) problems in system and control designs are investigated in this paper. A solution method of reduction of variables (MRVs) is proposed. This method consists of a principle of variable classification, a…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu

Example weighting algorithm is an effective solution to the training bias problem, however, most previous typical methods are usually limited to human knowledge and require laborious tuning of hyperparameters. In this paper, we propose a…

Machine Learning · Computer Science 2019-11-27 Zhenmao Li , Yichao Wu , Ken Chen , Yudong Wu , Shunfeng Zhou , Jiaheng Liu , Junjie Yan

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

Optimization and Control · Mathematics 2025-04-18 Aled Williams , Yilun Cai

This work addresses weight optimization problem for fully-connected feed-forward neural networks. Unlike existing approaches that are based on back-propagation (BP) and chain rule gradient-based optimization (which implies iterative…

Machine Learning · Computer Science 2024-06-18 Slavisa Tomic , João Pedro Matos-Carvalho , Marko Beko

In this paper a multi-objective mathematical model has been used to optimize grinding parameters include workpiece speed, depth of cut and wheel speed which highly affect the final surface quality. The mathematical model of the optimization…

Other Computer Science · Computer Science 2022-03-15 Meysam Mahjoob

Supply chain management has been concentrated on productive ways to manage flows through a sophisticated vendor, manufacturer, and consumer networks for decades. Recently, energy and material rates have been greatly consumed to improve the…

Computers and Society · Computer Science 2020-10-12 Ahmad Sobhan Abir , Ishtiaq Ahmed Bhuiyan , Mohammad Arani , Md Mashum Billal

In this paper, we address the identification problem for the systems characterized by linear time-invariant dynamics with bilinear observation models. More precisely, we consider a suitable parametric description of the system and formulate…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Diyou Liu , Mohammad Khosravi

We propose a nonlinear optimization model for determining the optimum lot size and reorder point for a food item distributed through a cold warehouse as well as the optimum quality features, namely temperature, humidity, packaging type, and…

Optimization and Control · Mathematics 2024-01-19 Atena Karimi , Omid Ghorbani , Reza Tashakkori , Seyed Hamid Reza Pasandideh , Milad Jasemi

This study aims to optimize meal planning for nutritional health and cost efficiency using linear programming. Linear optimization provides an effective framework for addressing the problem of an optimal diet, as the composition of food can…

Numerical Analysis · Mathematics 2025-01-09 Utkarsh Prajapati , Tanushree Jain , Abhishek Machiraju , Divyam Kaushik

This paper introduces a novel framework for model adaptivity in the context of heterogeneous multiscale problems. The framework is based on the idea to interpret model adaptivity as a minimization problem of local error indicators, that are…

Numerical Analysis · Mathematics 2017-12-04 Matthias Maier , Rolf Rannacher

Two simple yet powerful optimization algorithms, named the Best-Mean-Random (BMR) and Best-Worst-Random (BWR) algorithms, are developed and presented in this paper to handle both constrained and unconstrained optimization problems. These…

Neural and Evolutionary Computing · Computer Science 2024-09-10 Ravipudi Venkata Rao , Ravikumar shah

Cluster-weighted modeling (CWM) is a mixture approach for modeling the joint probability of a response variable and a set of explanatory variables. The parameters are estimated by means of the expectation-maximization algorithm according to…

Computation · Statistics 2013-08-09 Salvatore Ingrassia , Simona C. Minotti
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