Science and Technology Production
Multi-period design and planning of closed-loop supply chains with uncertain supply and demand

Article

Authorship
ZEBALLOS, LUIS JAVIER ; MENDEZ, CARLOS ALBERTO ; Barbosa Povoa, Ana ; Novais, Augusto
Date
2014
Publishing House and Editing Place
Elsevier
Magazine
COMPUTERS AND CHEMICAL ENGINEERING, vol. 66 (pp. 151-164) Elsevier
Summary Information provided by the agent in SIGEVA
A design and planning approach is proposed for addressing general multi-period, multi-product Closed-Loop Supply Chains (CLSCs), structured as a 10-layer network (5 forward plus 5 reverse flows), with uncertain levels in the amount of raw material supplies and customer demands. The consideration of a multi-period setting leads to a multi-stage stochastic programming problem, which is handled by a mixed-integer linear programming (MILP) formulation. The effects of uncertain demand and supply on ... A design and planning approach is proposed for addressing general multi-period, multi-product Closed-Loop Supply Chains (CLSCs), structured as a 10-layer network (5 forward plus 5 reverse flows), with uncertain levels in the amount of raw material supplies and customer demands. The consideration of a multi-period setting leads to a multi-stage stochastic programming problem, which is handled by a mixed-integer linear programming (MILP) formulation. The effects of uncertain demand and supply on the network are considered by means of multiple scenarios, whose occurrence probabilities are assumed to be known. Several realistic supply chain requirements are taken into account, such as those related to the operational and environmental costs of different transportation modes, as well as capacity limits on production, distribution and storage. Moreover, multiple products are considered, which are grouped according to their recovery grade. The objective function minimizes the expected cost (that includes facilities, purchasing, storage, transport and emissions costs) minus the expected revenue due to the amount of products returned, from repairing and decomposition centers to the forward network. Thus, the selected performance criterion seeks to obtain low-cost and environmental friendly solutions. Finally, computational results are discussed and analyzed in order to demonstrate the effectiveness of the proposed approach. Due to the large size of the addressed optimization problem containing all possible scenarios for the two uncertain parameters, scenario reduction algorithms are applied to generate a representative, albeit smaller, subset of scenarios.
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Key Words
MULTI-STAGE STOCHASTIC APPROACHMATHEMATICAL MODELINGCLOSED-LOOP SUPPLY CHAINS
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