Optimal control of a job-shop production system: Periodic versus dynamic type

Following recent work of Matsui, Yang and Miya, the authors assume that job-shop production systems consist of the sales centre – with order-selection – and the production centre – with switch-over. This paper studies the control problem of a job-shop Production system of periodic versus dynamic type. First, a stochastic model of semi-dynamic type is proposed, and the two sub-objective functions: the mean accepted price and the mean operating cost, are given. Next, a cooperative versus non-cooperative problem of sales and production centres is discussed, and the non-monotonicity of optimal selection criteria is again found. Finally, a comparison of the alternative periodic, dynamic and semi-dynamic types is given, and the optimal structure is found.