In this section, we consider a case study to demonstrate the applicability of
the proposed solution procedure to our Stackelberg game model. Our case is a
supply chain consisting of two suppliers, one manufacturer and two retailers. The
manufacturer procures two kinds of raw materials from the two suppliers. Then,
the manufacturer uses them to produce final products and distributes them to the
retailers. Through this case study, we evaluate:(1) the results of market and
inventory policy by three-level, non-linear, multi-objective,Stackelberg model,(2)
improvement of the net profit of the manufacturer, retailers and suppliers in RMS
scenario, and (3) the effects of some selected parameters on the decisions and
profits of the supply chain elements.The related input parameters are based on the
case. These parameters for the case are given