New scenario-based model for multi-product multi-level supply chain management with stochastic demand and lead time

In this paper, a new model for managing multi-product multi-level supply chain using predictive control of Scenario-based model is presented which it can handle supply chain with Stochastic programming of the uncertainty, which is caused, by demand and random lead time. In addition, it guarantees a certain level of customer service in the form of horizon with 95% probability. Probabilistic waiting time may lead to lash effect throughout the entire chain And causes shortages at different levels therefore cost of facing shortages is considered in the model. After modeling problem is solved in deterministic and Probabilistic state and to solve larger problems Imperialist competitive algorithm is used. The results indicate that SCMPC is computationally very efficient and offers significant advantage over the robust and stochastic optimization.