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Abstract Supply chain management has recently gained a lot of interest. In their studies, researchers try to put assumptions that are close to real supply chain networks. In this research, the problem addressed is a supply chain network of three echelons, multiple products, of stochastic demand, with inventory accumulation over multiple planning intervals. A mathematical model was built to find the optimum decision of operating facilities and distributors. The problem is formulated in stochastic integer linear programming. The objective is to maximize the expected profit. The model was proven to be effective solving this problem. Such a problem was not tackled by many researchers due to its complexity, and big size. Further studies were made to decrease the size of the problem. It was made possible to decrease the computational time to about 40% of the original time while obtaining the same results. This percentage depends on the original size of the problem. Experiments were carried out to study the effect of different parameters of the problem on the profit and the service level. Parameters studied were the fixed and variable costs, as well as the variance of the stochastic demand. The model was extended to feature bidirectional transshipment among distributors. Allowing transshipment between distributors has proven to be effective and profitable in some cases, depending on the three main parameters; the transshipment cost, the holding cost, and the transportation cost between facilities and distributors. Finally, the bullwhip effect at facilities was calculated for different cases of transshipment and inventory. Inventory and transshipment help to decrease the bullwhip effect at facilities under different scenarios through the same planning interval. On the other hand, they help to increase the variation in the production rate through different intervals. |