In this paper, bi-level programming is proposed for designing a competitive supply chain network. A two-stage stochastic programming approach has been developed for a multi-product supply chain comprising a capacitated supplier, several distribution centers, retailers and some resellers in the market. The proposed model considers demand’s uncertainty and disruption in distribution centers and t...

In the present paper, we focus on multi-level nonlinear integer programming problems (MLNLIPPs) in which there exist decision makers (DMs) with integer decision variables at all levels. Various approaches for multi-level programming problems could exist according to situations which the DMs are placed in. Assuming the cooperative relationship among the DMs at all levels, in this paper, an inter...

Designing a logistic network is a strategic and critical problem that provides an optimal platform for the effective and efficient supply chain management. In this research, we address the application of fuzzy sets to design a multi-product, multi-period, closed-loop supply chain network. The presented supply chain includes three objective functions: maximization of profit, minimization of deli...

today, due to the direct and reverse logistics plays an important role in reducing the costs in supply chain. in this paper, in order to provide a closed-loop supply chain network including supply centers, production, distribution, collection, recycling and disposal of a used linear mixed integer programming. this paper to consider multi-period and multi-product in multi-level supply chain and ...

design of a logistics network in proper way provides a proper platform for efficient and effective supply chain management. this paper studies a multi-period, multi echelon and multi-product integrated forward-reverse logistics network under uncertainty. first, an efficient complex mixed-integer linear programming (milp) model by considering some real-world assumptions is developed for the inte...

a theorem was recently introduced to establish a relationship betweengoal programming and fuzzy programming for vectormaximum problems.in this short note it is shown that the relationship does not exist underall circumstances. the necessary correction is proposed.

performance of a supply chain highly depends on its suppliers and therefore, appropriate selection of them is of great importance. this paper presents an integrated model of an mcdm method and a mathematical programming in order to select suppliers and determine lot sizes in the supply chain. the proposed framework comprises two main sub-models; the qualitative sub-model seeks to evaluate the s...

Nowadays, there has been a growing interest in recovery options such as recycling, remanufacturing and reusing in the scope of Reverse Logistics (RL) and Closed-Loop Supply Chain (CLSC) concepts due to the environmental, economical issues and legal obligations. Due to this fact, companies should take into account the utilized recovery option while preparing both strategic planning and tactical ...