Integrated model of a three-stage supply chain

In this research a three-stage supply chain problem contains a supplier, a manufacturer and some customers is considered. It is supposed that repetitive orders over a cycle, whichneed determined amount of raw material, are available to be processed in manufacturer site. The overall problem is to find a jointcyclic schedule of raw material procurement and job scheduling that minimizes the total cost comprises of raw material ordering cost andholding cost, production cost, holding cost of finished products, tardiness cost and reject cost. A mixed integer programing isproposed for the problem and is then solved via CPLEX