Journal Article

·2022 OPEN ACCESS

New Solution Approaches for Multi-Objective Solid Transportation Problem Using Some Aggregation Operators

Nurdan Kara YTU , Hale Gonce Köçken YTU

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Abstract

A solid transportation problem emerges when the decision variables are represented by three items: the source, the destination, and the mode of transport. In applications, the STP generally requires considering multiple objectives such as cost minimization, time minimization, security level maximization, etc. In this way, a multi-objective solid transportation problem arises. This paper deals with the solution of the problem and analyzes the effect of several important fuzzy aggregation operators on the solution of the problem. In this context, the most commonly used aggregation operators are investigated for this problem. To explain the solution approach, a numerical example from the literature is given and a Pareto-optimal solution set is provided to offer the decision-maker. Furthermore, graphical comparisons and sensitivity analysis are presented with the solution obtained.

Keywords

Mathematical optimization Minification Context (archaeology) Transportation theory Computer science Maximization Sensitivity (control systems) Solution set Set (abstract data type) Pareto principle Aggregation problem Decision maker Multi-objective optimization Operations research Mathematics Mathematical economics Engineering

Subject Areas

Optimization and Mathematical Programming ·Control and Systems Engineering ·Physical Sciences
Multi-Criteria Decision Making ·Management Science and Operations Research ·Social Sciences