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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…

最优化与控制 · 数学 2025-01-29 Harshit Ratandhara , Mohit Kumar

The Best-Worst Method (BWM) has emerged as a prominent multi-criteria decision-making method for determining the weights of the decision criteria. Among various BWM models, this research focuses on the linear model of the BWM. This model…

最优化与控制 · 数学 2025-06-24 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…

最优化与控制 · 数学 2025-05-19 Matteo Brunelli , Fuqi Liang , Jafar Rezaei

The weighted sum method is a simple and widely used technique that scalarizes multiple conflicting objectives into a single objective function. It suffers from the problem of determining the appropriate weights corresponding to the…

人工智能 · 计算机科学 2020-05-07 Romit S Beed , Sunita Sarkar , Arindam Roy , Durba Bhattacharya

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…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

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…

系统与控制 · 电气工程与系统科学 2026-01-16 Wei-Yu Chiu

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…

最优化与控制 · 数学 2026-02-02 Harshit M. Ratandhara , Mohit Kumar

For many optimization problems it is possible to define a distance metric between problem variables that correlates with the likelihood and strength of interactions between the variables. For example, one may define a metric so that the…

神经与进化计算 · 计算机科学 2012-01-12 Martin Pelikan , Mark W. Hauschild

To infer the parameters of mechanistic models with intractable likelihoods, techniques such as approximate Bayesian computation (ABC) are increasingly being adopted. One of the main disadvantages of ABC in practical situations, however, is…

统计计算 · 统计学 2018-08-03 Jonathan U Harrison , Ruth E Baker

Dynamic behaviour of a WMN imposes stringent constraints on the routing policy of the network. In the shortest path based routing the shortest paths needs to be evaluated within a given time frame allowed by the WMN dynamics. The exact…

网络与互联网体系结构 · 计算机科学 2013-07-12 Shakti Kumar , Brahmjit Singh , Sharad Sharma

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…

统计理论 · 数学 2020-02-27 Guillaume Martinet

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…

最优化与控制 · 数学 2025-04-18 Aled Williams , Yilun Cai

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…

网络与互联网体系结构 · 计算机科学 2025-04-03 Brahim Mefgouda , Hanen Idoudi , Mohammad Al-Quraan , Ismail Lotfi , Omar Alhussein , Lina Mohjazi , Sami Muhaidat

We present a practical approach to solving distance-based optimization problems using optical computing hardware. The objective is to minimize an energy function defined as the weighted sum of squared differences between measured distances…

光学 · 物理学 2025-07-16 Guangyao Li , Richard Zhipeng Wang , Natalia G. Berloff

Prior work inspired by compression algorithms has described how the Burrows Wheeler Transform can be used to create a distance measure for bioinformatics problems. We describe issues with this approach that were not widely known, and…

密码学与安全 · 计算机科学 2020-02-19 Edward Raff , Charles Nicholas , Mark McLean

When designing a motion planner for autonomous robots there are usually multiple objectives to be considered. However, a cost function that yields the desired trade-off between objectives is not easily obtainable. A common technique across…

机器人学 · 计算机科学 2023-12-13 Nils Wilde , Stephen L. Smith , Javier Alonso-Mora

A minimum Manhattan distance (MMD) approach to multiple criteria decision making in multiobjective optimization problems (MOPs) is proposed. The approach selects the final solution corresponding with a vector that has the MMD from a…

最优化与控制 · 数学 2017-05-05 Wei-Yu Chiu , Gary G. Yen , Teng-Kuei Juan

We propose a nested weighted Tchebycheff Multi-objective Bayesian optimization framework where we build a regression model selection procedure from an ensemble of models, towards better estimation of the uncertain parameters of the…

机器学习 · 计算机科学 2021-10-22 Arpan Biswas , Claudio Fuentes , Christopher Hoyle

The imbalances and conditioning of the objective functions influence the performance of first-order methods for multiobjective optimization problems (MOPs). The latter is related to the metric selected in the direction-finding subproblems.…

最优化与控制 · 数学 2023-09-14 Jian Chen , Liping Tang , Xinmin Yang

Discrete barycenters are the optimal solutions to mass transport problems for a set of discrete measures. Such transport problems arise in many applications of operations research and statistics. The best known algorithms for exact…

最优化与控制 · 数学 2019-04-24 Steffen Borgwardt , Stephan Patterson
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