||AN OPTIMAL PRODUCTION CAPACITY CONTROL INCLUDING OUTSIDE SUPPLIERS
International journal of innovative computing, information & control : IJICIC
182 , 2017-02 , ICIC International
This study is part of an ongoing report on an analysis of production processes using a lead-time function. We present a strategy for determining the optimal production capacity using a quadratic form evaluation function in the production process. A mathematical model of production process is introduced by a stochastic differential equations with a lognormal type. In general, a production capacity is proportional to the rate of return. To determine the optimal production capacity, we calculated the optimal solution by introducing the Hamilton-Jacobi-Bellman equation. We determine the optimum parameters of the quadratic form evaluation function on the basis of the optimal capacity solution. We reported that an optimal production capacity is highly dependent on a volatility in workers. Further, we present the actual throughput data for a production flow process with high productivity (using a synchronous method) and in the absence of a production flow process (using an asynchronous method). The production efficiency of the synchronous process becomes clear from the actual data. For further verification, we confirmed the benefit of using the synchronization process to attempt to perform dynamic simulation.