Four-dimensional uncertain multi-objective multi-item transportation problem

IF 0.7 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Vandana Kakran Kakran, J. Dhodiya
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引用次数: 2

Abstract

This paper considers a four-dimensional multi-objective multi-item transportation problem (4DMOMITP), where all the parameters are regarded as uncertain variables. In this paper, three mathematical models, namely expected value model (EVM), optimistic value model (OVM) and dependent optimistic-constrained model (DOCM), are discussed for the uncertain model of 4DMOMITP.Thesemodels are converted into their corresponding deterministic forms using different ranking criteria from uncertainty theory. These deterministic models are then solved by using the Lingo 18.0 software, utilizing three different classical approaches for obtaining a solution. A numerical example is given to illustrate the application of the model and the solution algorithm. A sensitivity analysis for the OVM and DOCM models has also been performed with respect to the confidence levels.
四维不确定多目标多物品运输问题
本文研究了一个四维多目标多物品运输问题,其中所有参数都被视为不确定变量。本文讨论了4DMOMITP不确定模型的期望值模型(EVM)、乐观值模型(OVM)和依赖乐观约束模型(DOCM)三种数学模型。从不确定性理论出发,采用不同的排序准则将这些模型转换成相应的确定性形式。然后使用Lingo 18.0软件求解这些确定性模型,使用三种不同的经典方法来获得解决方案。最后通过数值算例说明了该模型和求解算法的应用。还就置信水平对OVM和DOCM模型进行了敏感性分析。
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来源期刊
Operations Research and Decisions
Operations Research and Decisions OPERATIONS RESEARCH & MANAGEMENT SCIENCE-
CiteScore
1.00
自引率
25.00%
发文量
16
审稿时长
15 weeks
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