A seller-buyer supply chain model with exponential distribution lead time
محورهای موضوعی : Mathematical OptimizationMehrab Bahri 1 , Mohammad Jafar Tarokh 2
1 - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran
2 - Department of Industrial Engineering, K.N. Toosi University of Technology,
Tehran 1439955471, Iran
کلید واژه: Optimization, Cost, Integrated inventory model, Stochastic lead time, Supply chain coordination,
چکیده مقاله :
Supply chain is an accepted way of remaining in the competition in today's rapidly changing market. This paper presents a coordinated seller-buyer supply chain model in two stages, which is called Joint Economic Lot Sizing (JELS) in literature. The delivery activities in the supply chain consist of a single raw material. We assume that the delivery lead time is stochastic and follows an exponential distribution. Also, the shortage during the lead time is permitted and completely back-ordered for the buyer. With these assumptions, the annual cost function of JELS is minimized. At the end, a numerical example is presented to show that the integrated approach considerably improves the costs in comparison with the independent decisions by seller and buyer.