TY - JOUR
T1 - A numerical method in optimal production and setup scheduling of stochastic manufacturing systems
AU - Yan, H.
AU - Zhang, Q.
PY - 1997
Y1 - 1997
N2 - In this paper, we consider optimal production and setup scheduling in a failure-prone manufacturing system consisting of a single machine. The system can produce several types of products, but at any given time it can only produce one type of product. A setup is required if production is to be switched from one type of product to another. The decision variables are a sequence of setups and a production plan. The objective of the problem is to minimize the costs of setup, production, and surplus. An approximate optimality condition is given together with a computational algorithm for solving the optimal control problem.
AB - In this paper, we consider optimal production and setup scheduling in a failure-prone manufacturing system consisting of a single machine. The system can produce several types of products, but at any given time it can only produce one type of product. A setup is required if production is to be switched from one type of product to another. The decision variables are a sequence of setups and a production plan. The objective of the problem is to minimize the costs of setup, production, and surplus. An approximate optimality condition is given together with a computational algorithm for solving the optimal control problem.
KW - HJB equation
KW - Machine setup
KW - Numerical method
KW - Production planning
KW - Scheduling
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U2 - 10.1109/9.633837
DO - 10.1109/9.633837
M3 - RGC 21 - Publication in refereed journal
VL - 42
SP - 1452
EP - 1455
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 10
ER -