Resource levelling optimization for several companies with diverse resources in order to produce multiple goods by game theory approach

Todays, we are able to offer optimization models using game theory in resources levelling problems according to available capacity of resources and modelling situations where players have to make strategic decisions in the areas of production programming, inventory control and planning, and in trend of goods distribution.This paper is devoted to the process of manufacturing multiple productions which is owned by multiple players (also called owners) using several and similar resources. Players are companies who are beneficiaries in production and they want to reduce their costs and increase their income. In particular, in this paper cooperative game theory is used to seek the answer of this question; how process owners are able to work together so that they will be capable of achieving most benefits and least costs while meeting market demand timely. Mathematical programming model which is presented in this paper will capable us, in addition to addressing the answer of mentioned question above, to evaluate coalition stability by using least core method. At the end, we mentioned a real example about three clay bricks companies in order to have a better and more understanding of the presented mathematical model

کلیدواژه ها:

resources levelling ، cooperative game theory ، stability ، Shapley