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摘要
In this paper, we consider the manpower optimization problem for a manufacturing company with a hierarchy system of M levels. We take both the manufacturing plant workers and managerial stuff into account. The aim of the problem is to minimize the total human resource cost at the end of the time horizon, while maximizing the total output. The problem is subject to a series of chance constraints, for which the number of staff operating in each level is ensured to satisfy the minimum number requirement with a specified probability. ower optimization problem can BE formulated as a stochastic discrete-time optimal control problem. We then show that this stochastic optimal control problem is equivalent to a deterministic optimal control problem. It is further shown that the deterministic optimal control problem can be reduced to an equivalent linear programming problem, which can be solved very efficiently by using the interior-point algorithm. Finally, we conclude the paper with numerical simulations using real data from Singapore, Denmark and China.
