A goal programming approach for solving the random interval linear programming problem

Authors

ZIBA ARJMANDZADEH
MOHAMMADREZA SAFI

DOI

10.3906/mat-1509-65

Abstract

This paper presents a goal programming model for solving linear programming problems involving random interval coefficients. In this model, a random interval with known characters is considered as the aspiration level (target) of the objective function. The original problem involving random interval parameters is transformed into a biobjective equivalent problem using the proposed model. Defining an auxiliary variable, an approach for solving the biobjective problem is presented. Two numerical examples are carried out to show the efficiency of the proposed model.

Keywords

Random interval parameters, goal programming model, satisfactory solution, random interval programming, mean value

First Page

775

Last Page

786

Recommended Citation

ARJMANDZADEH, ZIBA and SAFI, MOHAMMADREZA (2017) "A goal programming approach for solving the random interval linear programming problem," Turkish Journal of Mathematics: Vol. 41: No. 4, Article 1. https://doi.org/10.3906/mat-1509-65
Available at: https://journals.tubitak.gov.tr/math/vol41/iss4/1