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....

The multi-objective optimization for a multi-product multi-period four-echelon supply chain network consisting of manufacturing plants, distribution centers (DCs) and retailers each with uncertain services and uncertain customer nodes are aimed in this paper. The two objectives are minimization of the total supply chain cost and maximization of the average number of products dispatched to custo...

In recent years, the optimization of multi-objective service composition in distributed systems has become an important issue. Existing work makes a smaller set Pareto-optimal solutions to represent Pareto Front (PF). However, they do not support complex mapping quality (QoS) objective space, thus having limitations providing representative solutions. We propose enhanced differential evolution ...

In this article, a multi objective model is presented to select and allocate the order to suppliers in uncertainty condition and in a multi source, multi customer and multiproduct case in a multi period state at two levels of supply chain. Objective functions considered in this study as the measures to evaluate suppliers are cost including purchase, transportation and ordering costs, timely del...