English

On Solving Fixed Charge Transportation Problems Having Interval Valued Parameters

Optimization and Control 2023-09-14 v1 Statistics Theory Statistics Theory

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.

Keywords

Cite

@article{arxiv.2309.06502,
  title  = {On Solving Fixed Charge Transportation Problems Having Interval Valued Parameters},
  author = {Ummey Habiba and Abdul Quddoos and Masihuddin},
  journal= {arXiv preprint arXiv:2309.06502},
  year   = {2023}
}
R2 v1 2026-06-28T12:19:38.995Z