OPTIMIZATION OF COOPERATIVE RESOURCES LEVELING OF MULTI COMPANIES PRODUCING MULTI PRODUCTS VIA GAME THEORY APPROACH

Today we can provide optimization models with game theory in resource leveling issues, given the resources capacity available and the conditions in which players must take strategic decisions in different cases within the coalitions and in the market. Suitable resources leveling is an important issue in all projects. Especially in cases where access to resources simply are not possible, increase the importance of reducing the maximum daily resource and therefore the overall resource requirements. Project managers are needed on a schedule based on the optimal use of the resources in order to complete their projects, always. The aim of project resource leveling, reduce the costs of unnecessary resources available, under certain circumstances, and a timely response to market demand in order to keep the company's strategic position. This is a problem with the players which using cooperative game theory approach to obtain an approximate solution via MATLAB and Lingo. In this paper, the process of multi-owner production of products using various and similar resources is discussed. Players are companies that are interested in produce the products and want to reduce their costs and increase their revenue. In particular, this paper, using Collaborative Game Theory, seeks to answer the question of how process owners can gain the most revenue and the lowest cost while collaborating together, and respond in a timely manner to market demand. So, first, minimize the variance of consumption resources needed to produce the product and then calculate the amount of extra utility (EU) and synergy. Finally calculate the value of the coalition this game via methods such as the Tau value, Shapley and core center. For a better understanding of the mentioned model, an example of three manufacturing companies is presented that use similar resources in producing and share them with others in order to reduce costs and divide the profits.