On Solving Fixed Charge Transportation Problems Having Interval Valued Parameters

TL;DR

This paper introduces a novel approach for solving interval fixed charge transportation problems by converting them into a bi-objective problem and applying fuzzy programming, demonstrated through numerical examples and comparison with existing methods.

Contribution

The paper presents a new method that transforms interval fixed charge transportation problems into a bi-objective form and solves them using fuzzy programming, enhancing solution effectiveness.

Findings

The proposed method successfully solves interval fixed charge transportation problems.

Numerical examples demonstrate the method's effectiveness and accuracy.

Comparison shows improved results over existing approaches.

Abstract

In this article, we propose a new method for solving the interval fixed charge transportation problem (IFCTP), wherein the parameters (associated cost, fixed cost, supply, and demand) are represented by interval numbers. First, an equivalent bi-objective fixed charge transportation problem (FCTP) is derived from the given IFCTP, and then the equivalent crisp problem is solved using a fuzzy programming technique. To demonstrate the solution procedure, two existing numerical examples (Safi and Razmjoo {\cite{bakp1}}) are coded and solved in LINGO 19.0. We establish the effectiveness of our proposed method through a comparison of the results achieved with those of two pre-existing methods.