Multi-level linear programming problem involving some multi-choice parameters
type: Item
instance of: scholarly article
title: Multi-level linear programming problem involving some multi-choice parameters
zbMATH Open document ID: 1390.90384
DOI: 10.1504/IJMOR.2015.069150
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: In a multi-level decision making problem the decision is taken jointly by several decision makers who are at different levels. In this paper, we consider a multi-level linear programming problem where some of the cost coefficients of the objective functions and some of the right hand side parameters of the constraints are multi-choice type. The aim of this paper is to establish a suitable solution procedure to solve the stated multi-level programming problem. To tackle the multi-choice parameters of the multi-level programming problem, we use some interpolating polynomials and transform the stated problem into a multi-level mixed integer non-linear programming problem. Then we apply fuzzy programming method to solve the transformed multi-level programming problem. One numerical example is included to illustrate the solution procedure of the multi-level linear programming problem which has some multi-choice parameters.
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 6881387
zbMATH Keywords: multi-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.2015.069150
OpenAlex ID: W2092677530
description: scientific article; zbMATH DE number 6881387