Fuzzy Programming Technique to Solve Bi-Objective Transportation Problem

Abstract

Abstract-In a transportation problem generally a single criterion of minimizing the total transportation cost is considered but in certain practical situations two or more objectives are relevant. For example, the objectives may be minimization of total cost, consumption of certain scarce resources such as energy, total deterioration of goods during transportation etc. Clearly, this problem can be solved using any of the multiobjective linear programming techniques, but the computational efforts needed would be prohibitive in many cases. In this paper, The Bi-objective transportation problem, where only objectives are considered as fuzzy. We apply the fuzzy programming technique with hyperbolic membership function to solve a biobjective transportation problem as vector minimum problem.

Fuzzy Multi-Objective Nonlinear Programming Problems Under Vari̇ous Membership Functions: A Comparati̇ve Analysis

“…One of the nonlinear membership functions, hyperbolic, was used for each objective function in order to define all fuzzy goals. Bodkhe et al (2010) presented a fuzzy multi-objective programming method considering hyperbolic membership function for solving bi-objective transportation problem to compare with those obtained from the triangular membership function. Peidro and Vasant (2011) addressed the multi-objective problem of transportation planning decision (TPD) problem which has fuzzy goals, supplies and forecast demands.…”

Analysing impact of strategies adopted by decision makers on performance parameters of bi-criteria transportation problem

“…A bi-criteria problem was designed for a redundancy allocation problem with heterogeneous backup scheme and mixed redundancy (Juybari et al, 2021). Bodkhe et al (2010) used fuzzy programming technique with hyperbolic membership function to solve a bi-objective TP as a vector minimum problem. Murad et al (2010) constructed an optimisation model for TP related to mill stones companies.…”