A multi-objective linear programming problem is made from fuzzy problem. It due the fact that it used method during solution. The Multi objective can be converted into single function by various methods as Chandra Sen’s method, weighted sum ranking statistical averaging method. In this paper, and both are here for making function. Two problems solved to verify result. One numerical example othe...

one of important problems in supply chains management is supplier selection. in a company, there are massive data from various departments so that extracting knowledge from the company’s data is too complicated. many researchers have solved this problem by some methods like fuzzy set theory, goal programming, multi objective programming, the liner programming, mixed integer programming, analyti...

The increasing consumption of electricity over time forces different countries to establishnew power plants and transmission lines. There are various crisp single-objective mathematicalmodels in the literature for the long-term power generation and transmission expansion planning tohelp the decision makers to make more reasonable decisions. But, in practice, most of the parametersassociated wit...

This paper presents an application of interactive fuzzy goal programming to the nonlinear multi-objective reliability optimization problem considering system reliability and cost of the system as objective functions. As the decision maker always have an intention to produce highly reliable system with minimum cost, therefore, we introduce the interactive method to design a high productivity sys...

A three-level relief chain including a number of suppliers in fixed locations, candidate distribution centers and affected areas at certain points are considered. A mixed integer nonlinear programming model is proposed for open transportation location routing problem by considering split delivery of demand. To solve a realistic problem, foregoing parameters are considered as fuzzy in our propos...

Data envelopment analysis (DEA) is a common technique in measuring the relative efficiency of a set of decision making units (DMUs) with multiple inputs and multiple outputs. ‎‎Standard DEA models are ‎‎quite limited models‎, ‎in the sense that they do not consider a DMU ‎‎at different times‎. ‎To resolve this problem‎, ‎DEA models with dynamic ‎‎structures have been proposed‎.‎In a recent pape...

Natural disasters, such as earthquakes, tsunamis, and hurricanes cause enormous harm during each year. To reduce casualties and economic losses in the response phase, rescue units must be allocated and scheduled efficiently, such that it is a key issues in emergency response. In this paper, a multi-objective mix integer nonlinear programming model (MOMINLP) is proposed to minimize sum of weight...

in this paper we try to introduce a new approach and study the notion of efficiency under a multi objectives linear programming problem in the university by using analysis of hierarchy process (ahp)‎. ‎to this end‎, ‎we first extract some effective parameters due to efficiency offices in university and then prioritized these parameters by the ahp method‎. ‎hence‎, ‎we could classify the most im...