2004•Mathematical and Computational ApplicationsOpen access

A Method for Solving 0-1 Multiple Objective Programming Problem Using Data Envelopment Analysis Technique

G.R. Jahanshahloo, Farhad Hosseinzadeh Lotfı, Naghi Shoja, Ghasem Tohidi

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Abstract

In this paper a method for finding efficient solutions of a 0-1 Multiple Objective Linear (Nonlinear) programming Problem using Data Envelopment Analysis (DEA) technique is proposed. In this method, for each feasible solution of 04 Multiple Objective Programming (0-1 MOP) problem, a Decision Making Unit (DMU) is introduced. Using the additive model, the relative efficiency of these DMUs is evaluated. Each feasible solution corresponding to an efficient DMU is the efficient solution of 0-1 MOP problem.

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What this paper is about

In this paper a method for finding efficient solutions of a 0-1 Multiple Objective Linear (Nonlinear) programming Problem using Data Envelopment Analysis (DEA) technique is proposed. In this method, for each feasible solution of 04 Multiple Objective Programming (0-1 MOP) problem, a Decision Making Unit (DMU) is introduced. Using the additive model, the relative efficiency of these DMUs is evaluated. Each feasible solution corresponding to an efficient DMU is the efficient solution of 0-1 MOP problem.

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Available abstract

In this paper a method for finding efficient solutions of a 0-1 Multiple Objective Linear (Nonlinear) programming Problem using Data Envelopment Analysis (DEA) technique is proposed. In this method, for each feasible solution of 04 Multiple Objective Programming (0-1 MOP) problem, a Decision Making Unit (DMU) is introduced. Using the additive model, the relative efficiency of these DMUs is evaluated. Each feasible solution corresponding to an efficient DMU is the efficient solution of 0-1 MOP problem.

Key concepts: Data envelopment analysis, Mathematical optimization, Linear programming, Nonlinear programming, Computer science, Efficiency, Unit (ring theory), Nonlinear system

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