Abstract
The production control with the consideration of workforce allocation for advanced manufacturing systems has been rebellious and crucial to industrial management. Through the proposed model in this paper, the issue becomes realistically and concretely solvable. This study not only mediates the concept of balancing machine productivity and human ability into the objective, but also implements Calculus of Variations to optimize the profit for a deterministic production quantity. In addition, the optimum solutions of dynamic productivity control and workforce allocation are comprehensively provided. Moreover, the decision criteria for selecting the optimum solution and the sensitivity analysis of the critical variables are fully discussed. This paper definitely contributes the applicable strategy to control the productivity and workforce in manufacturing, and provides the valuable tool to conclusively optimize the profit of a machining project for operations research in today's manufacturing industry with profound insight.
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