The purpose of this paper is establish the usefulness of newly formed modified s-curve membership function in a limited supply production planning problem with continuous variables. In this respect fuzzy parameters of linear programming are modeled by non-linear membership function such as scurve function. This paper begins with introduction and construction of modified s-curve membership funct...

design and expansion of distribution systems seems inevitable in view of the need to satisfy the rise in energy consumption in a technical and economical way. optimal location, sizing and determining the service area of substations is one of the principle problems in expansion of distribution systems. also uncertainty is one of the important factors that increase risk of exact decision makings....

This paper studies a location–routing–inventory problem in a multi-period closed-loop supply chain with multiple suppliers, producers, distribution centers, customers, collection centers, recovery, and recycling centers. In this supply chain, centers are multiple levels, a price increase factor is considered for operational costs at centers, inventory and shortage (including lost sales and back...

In the current competitive conditions, all the manufacturers’ efforts are focused on increasing the customer satisfaction as well as reducing the production and delivery costs; thus, there is an increasing concentration on the structure and principles of supply chain (SC). Accordingly, the present research investigated simultaneous optimization of the total costs of a chain and customer satisfa...

in this paper, simultaneous placement of distributed generation, capacitor bank and protective devices are utilized to improve the efficiency of the distribution network. the objectives of the problem are reduction of active and reactive power losses, improvement of voltage profile and reliability indices and increasing distribution companies’ profit. the combination of firefly algorithm, parti...