this paper uses the weighted l$_1-$norm to propose an algorithm for finding a well-dispersed subset of non-dominated solutions of multiple objective mixed integer linear programming problem. when all variables are integer it finds the whole set of efficient solutions. in each iteration of the proposed method only a mixed integer linear programming problem is solved and its optimal solutions gen...

In this paper Standard Error of Mean (SEM), as a new technique, is used for transforming multi-objective linear programming problems (MOLPPs) to the single objective (SOLPPs). To end, an algorithm has been proposed and suggested solve MOLPPs, which have tested through numerical examples by employing Excel Solver. However, study compares results other techniques like (Chandra Sen, Optimal Averag...

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...

Planning of sewer systems typically involves limitations and problems, regardless whether traditional planning methods or optimization models are used. Such problems include non-quantifiability, fuzzy objectives, uncertainties in decision-making variables which commonly applied the any process. Particularly, have prevented inclusion these models. Consequently, theoretical optional solution math...