AN ABSTRACT OF MATHEMATICAL MODEL OF OPTIMUM COMPOUND OF PRODUCTION FOR TIRE PRODUCTION COMPANIES (DONE FOR KAVIR TIRE CO

Many of Iranian industrial engineers don’t use their knowledge of Operations Research in their career. For example Kavir Tire company’s engineers only used to schedule the production of different tires according to the contracts. They only aim to satisfy minimum necessary demand and fill the remained capacity of production by an only feasible solution. After asking the problem, we found out that the problem is related to the very complicated nature of relationships between many different kinds of tires and different needed machines. The complicated material handling and different prerequisites for each station had made the problem unsolvable. The only way for solving the problem was to introduce a general unique model which can surmount the differences arising as a result of different tires and complicated relationship between stations. In this model we assumed that all of different kinds of tires, Bias or Radial, Van or Car and etc pass through all different stations (machines). The idea is to change the coefficients rather than the general model. For example in the time capacity of each station we should consider setup and production time for a tire which doesn’t pass the station equal to zero. The other complexity was related to tools in hand in each station. These tools can only be used for some kinds of tires. We also solved this problem by generalizing in that we introduced a new constant representing minimum of tools number and machines number. Portable resources such as auxiliary workers were the other problem. We also solved this problem by binary and integer modeling. Solving such a general formulation is a very easy work. By having a general model one doesn’t need to solve a different model for different time, he only needs to change the coefficients that may be defined in an Excel worksheet. In the paper we first introduced some of operations research applications. We’ve continued by an introduction to linear programming. Then we’ve developed our general model and finally we’ve solved a case study by general model