In this paper, we will discusse the strong optimality of general interval linear program (IvLP), that is, the IvLP has an optimal solution for each realization, and some necessary and sufficient conditions are established, based on the duality theory. Keywordsoptimal solution; strongly feasible; duality;

This paper deals with the problem of linear programming with inexact data represented by real closed intervals. Optimization problems with interval data arise in practical computations and they are of theoretical interest for more than forty years. We extend the concept of duality gap (DG), the difference between the primal and its dual optimal value, into interval linear programming. We consid...

In this paper, we study general linear programs in which right handsides are interval numbers. This model is relevant when uncertain and inaccurate factors make di–cult the assignment of a single value to each right handside. When objective function coe–cients are interval numbers in a linear program, it is used to determine optimal solutions according to classical criteria coming from decision...

Modeling and solving real world problems is one of the most important issues in optimization problems. In this paper, we present an approach to solve Fuzzy Interval Flexible Linear Programming (FIFLP) problems that simultaneously have the interval ambiguity in the matrix of coefficients .In the first step, using the interval problem solving techniques; we transform the fuzzy interval flexible p...

Data envelopment analysis (DEA) is a non-parametric technique for evaluation of relative efficiency of decision making units described by multiple inputs and outputs. It is based on solving linear programming problems. Since 1978 when basic DEA model was introduced many its modifications were formulated. Among them are two or multi-stage models with serial or parallel structure often called net...

The aim of our paper is to obtain efficient solutions the interval multi-objective linear programming (IMOLP) models. In this paper, we propose a new method determine in IMOLP models by using expected value and variance operators (EVV operators). First, define concepts value, variance, uncertainty distributions, present some properties EVV operators. Then, introduce model under these An consist...

State estimation (SE) of distribution networks heavily relies on pseudo measurements that introduce significant errors, since real-time are insufficient. Interval SE models regularly used, where true values system states supposed to be within the estimated intervals. However, conventional interval algorithms cannot consider correlations same variables in different terms constraints, which resul...