This paper presents a linear fractional programming approach for solving multi objective linear programming problem. We develop a model to solve multi objective linear programming problem into fractional programming problem and proposed a method for linearization of a fractional objective. In particular, we consider the optimization of ratio of profit and cash expenditure as fractional objectiv...

dam reservoirs supplies water resources for drinking, agriculture, and industry almost in all parts of iran. lack of proper utilization rules and unbalanced demands versus available water has led to many problems regarding to ineffective use of the water resources. precipitation and flow rate are stochastic phenomena. therefore, multi-step processes related to the water use efficiency should be...

This paper addresses supplier selection and order allocation problem while considering the losses arising from the risk of sanction in Iran’s Oil & Gas Drilling Industry. In the proposed study, two general classes of items and two different classes of suppliers are considered. AHP is first used to rank the potential suppliers. Then, a multi-objective linear programming model is proposed t...

Optimum utilization of limited resources in the production floor demands that the production manager makes decisions on the best allocation of limited resources. This study applied linear programming techniques to production planning problem in a feed mill producing company. Linear Programming model was formulated based on data obtained from the company operations’ diary. Data was processed wit...

Abstract: Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problem...