Undesirable Output such as pollution and waste may occasionally occur in the production process, which should be reduced to improve efficiency. In the present study, cost efficiency model is presented in the presence of undesirable output by Inverse Linear Programming, and the desirable cost is calculated in order to achieve cost efficiency for units that are technically efficient but not cost-...

Linear programming duality yields e,cient algorithms for solving inverse linear programs. We show that special classes of conic programs admit a similar duality and, as a consequence, establish that the corresponding inverse programs are e,ciently solvable. We discuss applications of inverse conic programming in portfolio optimization and utility function identi0cation. c © 2004 Elsevier B.V. A...

The present study addresses the following question: if among a group of decision making units, the decision maker is required to increase inputs and outputs to a particular unit in which the DMU, with respect to other DMUs, maintains or improves its current efficiencylevel, how much should the inputs and outputs of the DMU increase? This question is considered as a problem of inverse data envel...

we present a new model and a new approach for solving fuzzylinear programming (flp) problems with various utilities for the satisfactionof the fuzzy constraints. the model, constructed as a multi-objective linearprogramming problem, provides flexibility for the decision maker (dm), andallows for the assignment of distinct weights to the constraints and the objectivefunction. the desired solutio...

The past decade has seen a growing interest in inverse optimization. It has been shown that duality yields very efficient algorithms for solving inverse linear programming problems. In this paper, we consider a special class of conic programs that admits a similar duality and show that the corresponding inverse optimization problems are efficiently solvable. We discuss the applications of inver...

The paper deals with the inverse linear programming problem over intervals. More precisely, given interval domains for the objective function coefficients and constraint coefficients of a linear program, we ask for which scenario a prescribed optimal value is attained. Using continuity of the optimal value function (under some assumptions), we propose a method based on parametric linear program...

In the recent interior point methods for linear programming much attention has been given to the logarithmic barrier method. In this paper we will analyse the class of inverse barrier methods for linear programming, in which the barrier is P x r i , where r > 0 is the rank of the barrier. There are many similarities with the logarithmic barrier method. The minima of an inverse barrier function ...

Calculating the matrix inverse is a key point in solving linear equation system, which involves complex calculations, particularly when elements are (Left and Right) fuzzy numbers. In this paper, first, method of Kaur Kumar for calculating reviewed, its disadvantages discussed. Then, new proposed to determine based on programming problem. It demonstrated that capable overcoming shortcomings pre...