A bi-level multi-choice programming problem. (1st January 2015)

• Record Type: Journal Article
• Authors: Pradhan, Avik; Biswal, M.P.
• Is Part Of: International journal of mathematics in operational research. Volume 7:Number 1(2015)
• Page Start: 1
• Page End: 18
• Publication Date: 2015-01-01
• Subjects: bi-level programming -- interpolating polynomial -- fuzzy programming -- multi-choice programming -- MSP; Operations research -- Mathematical models -- Periodicals; Operations research -- Mathematics -- Periodicals; Decision making -- Mathematical models -- Periodicals; 658.4033
• DOI: 10.1504/IJMOR.2015.065945
• Languages: English
• ISSNs: 1757-5850

Abstract

A Bi-level linear programming problem is treated as a multi-objective optimisation problem where the decision is taken by two different decision makers who are at two different levels. In this paper we consider a bi-level linear programming problem where some of the cost coefficient of the objectives, and some of the right hand side parameters of the constraints are multi-choice parameters. The aim of this paper is to establish a suitable solution procedure to solve the stated bi-level programming problem. To tackle the multi-choice parameters of the bi-level programming problem, we use some interpolating polynomials. Multi-choice parameters are replaced with interpolating polynomials. Then we use fuzzy programming method to solve the transformed bi-level programming problem. We present a numerical example to illustrate the solution procedure of the bi-level linear programming problem involving some multi-choice parameters.