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Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal

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TLDR
The approaches of revised multi-choice goal programming (RMCGP) and conic scalarizing function into the MOTP are proposed and compared and two numerical examples are presented to show the feasibility and usefulness of the paper.
Abstract
This paper explores the study of multi-choice multi-objective transportation problem (MCMTP) under the light of conic scalarizing function. MCMTP is a multi-objective transportation problem (MOTP) where the parameters such as cost, demand and supply are treated as multi-choice parameters. A general transformation procedure using binary variables is illustrated to reduce MCMTP into MOTP. Most of the MOTPs are solved by goal programming (GP) approach, but the solution of MOTP may not be satisfied all times by the decision maker when the objective functions of the proposed problem contains interval-valued aspiration levels. To overcome this difficulty, here we propose the approaches of revised multi-choice goal programming (RMCGP) and conic scalarizing function into the MOTP, and then we compare among the solutions. Two numerical examples are presented to show the feasibility and usefulness of our paper. The paper ends with a conclusion and an outlook on future studies.

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Journal ArticleDOI

Multi-objective two-stage grey transportation problem using utility function with goals

TL;DR: The mathematical model of Two-Stage Multi-Objective Transportation Problem (MOTP) is formulated where the feasibility space is designed based on the selection of goal values and a utility function for selecting the goals of the objective functions is introduced.
Journal ArticleDOI

Effect of variable carbon emission in a multi-objective transportation-p-facility location problem under neutrosophic environment

TL;DR: This study delineates the stated formulation in which the total transportation cost, transportation time, and carbon emission cost from existing sites to p-facilities will be minimized and a hybrid approach is improved based on an alternating locate-allocate heuristic and the neutrosophic compromise programming to obtain the non-dominated solution.
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Multi-objective fixed-charge solid transportation problem with product blending under intuitionistic fuzzy environment

TL;DR: A new ranking method is used to convert intuitionistic fuzzy multi-objective fixed-charge solid transportation problem with product blending to a deterministic form and a comparison is drawn between the obtained solutions extracted from the approaches.
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Application of Type-2 Fuzzy Logic to a Multiobjective Green Solid Transportation–Location Problem With Dwell Time Under Carbon Tax, Cap, and Offset Policy: Fuzzy Versus Nonfuzzy Techniques

TL;DR: An unprecedented integrated mathematical model for a green solid transportation system with dwell time to execute the carbon tax, cap, and offset regulation with twofold uncertainty is incorporated to provide a realistic transportation system.
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Designing an efficient blood supply chain network in crisis: neural learning, optimization and case study

TL;DR: An efficient blood supply chain that can fulfill hospitals blood demand quickly with the lowest cost is designed using simulation and optimization processes to avoid the worst consequences of a disaster using a neural-learning process.
References
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Book

Nonlinear Multiobjective Optimization

TL;DR: This paper is concerned with the development of methods for dealing with the role of symbols in the interpretation of semantics.
Book

Management Models and Industrial Applications of Linear Programming

TL;DR: In place of a survey or evaluation of industrial studies, two broad issues which are relevant to all such applications will be discussed, including the use of linear programming models as guides to data collection and analysis and prognosis of fruitful areas of additional research, especially those which appear to have been opened by industrial applications.
Journal ArticleDOI

Optimal Estimation of Executive Compensation by Linear Programming

TL;DR: It will be shown how the methods of linear programming may be used to obtain estimates of parameters when more usual methods, such as “least squares,” are difficult or impossible to apply.
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