A bi-level multi-choice programming problem
type: Item
instance of: scholarly article
title: A bi-level multi-choice programming problem
zbMATH Open document ID: 1390.90358
DOI: 10.1504/IJMOR.2015.065945
author: Avik Pradhan
author: M. P. Biswal
published in: International Journal of Mathematics in Operational Research
publication date: 2018-06-06T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 6881372
zbMATH Keywords: bi-level programming
zbMATH Keywords: interpolating polynomial
zbMATH Keywords: fuzzy programming
zbMATH Keywords: multi-choice programming
MaRDI profile type: Publication
full work available at URL: ijmor.2015.065945
OpenAlex ID: W2101557656
description: scientific article; zbMATH DE number 6881372