In this paper we discuss the question: among a group of decision making units (DMUs), if a DMU changes some of its input (output) levels, to what extent should the unit change outputs (inputs) such that its efficiency index remains unchanged? In order to solve this question we propose a solving method based on Data Envelopment Analysis (DEA) and Multiple Objective Linear Programming (MOLP). In ...

This paper deals with the tolerance approach to sensitivity analysis of the weights in multiple objective linear programming (MOLP) problems. A geometric interpretation to compute the results in Hansen et al. [Eur. J. Oper. Res. 38 (1989) 63–69] is presented. Along the same direction, a visual interactive approach based on the analysis of indifference regions corresponding to basic efficient so...

The geometric duality theory of Heyde and Löhne (2006) defines a dual to a multiple objective linear programme (MOLP). In objective space, the primal problem can be solved by Benson’s outer approximation method (Benson, 1998a,b) while the dual problem can be solved by a dual variant of Benson’s algorithm (Ehrgott et al., 2007). Duality theory then assures that it is possible to find the nondomi...

In real-life situations, the project manager must handle multiple conflicting goals and these conflicting goals are normally fuzzy owing to information is incomplete and unavailable. This study develops a two-phase fuzzy goal programming (FGP) method for solving the project management (PM) decision problems with multiple goals in uncertain environments. The original multi-objective linear progr...

In the real-world optimization problems, coefficients of the objective function are not known precisely and can be interpreted as fuzzy numbers. In this paper we define the concepts of optimality for linear programming problems with fuzzy parameters (FLP). Then by using the concept of comparison of fuzzy numbers we transform FLP problem into a multiobjective linear programming (MOLP) problem. T...

Two-phase approach had been proposed to generate an efficient solution for the multiple objective linear programming problems [MOLP]. In this research, we shall show a revised two-phase approach to the case of the fuzzy multiple objectives linear programming problems [FMOLP]. This revised model can improve the optimal decision obtained from min operator. Moreover, a compromise model embedded tw...

Classic linear assignment method is a multi-criteria decision-making approach in which criteria are weighted and each rank assigned to choice. In this study, abandon the requirement of calculating weight use decision attributes prioritizing also be able assign more than one choice, multi-objective programming (MOLP) suggested. The objective function MOLP defined for attribute solved based on ab...

In this study, we developed a novel multiobjective linear programming (MOLP) strategy based on the noninferior set estimation (NISE) method (Solanki et al., 1993), whereby Pareto solutions for the given set of conflicting objectives and corresponding flux distribution profiles are generated to understand how the internal fluxes are changed in the metabolic system. Furthermore, this MOLP approac...

Data envelopment analysis (DEA) is a performance measurement tool that was initially developed without consideration of the decision maker (DM)’s preference structures. Ever since, there has been a wide literature incorporating DEA with value judgements such as the goal and target setting models. However, most of these models require prior judgements on target or weight setting. This paper will...