An Integrated Model for a Single-Manufacturer Multi-retailer Supply Chain with Poisson Demand

We present an integrated model for a single-manufacturer multi-retailer supply chain scenario where the product fits Poisson distribution. The manufacturer orders the required quantity of raw materials, converts them into finished products to deliver to the retailers. An integrated inventory model determines the lot size, taking into the pattern of ordering quantities required by the retailers. The purpose is to maximize the profit from the whole chain. Finally we try to determine the optimal ordering price for each retailer under profit sharing scheme.