Controlling the machine state towards the optimum trade-off between cycle time and power demand improves machine sustainability in manufacturing. This paper presents a dynamic programming approach for optimally controlling a single server manufacturing system with finite capacity and Poisson arrivals (M/M/1/K). The admission of parts into the system is controlled together with the service rate of the machine tool. Further, the machine can be triggered in a low power consumption state when the service is interrupted. The structural properties of the optimal control are analyzed when the transition off/on is instantaneous and when a transitory - i.e., warm-up - is necessary to resume the service. The transitory length is considered exponentially distributed. Numerical results are based on value iteration approximation.
Dynamic programming for energy control of machine tools in manufacturing
FRIGERIO, NICLA;MATTA, ANDREA
2015-01-01
Abstract
Controlling the machine state towards the optimum trade-off between cycle time and power demand improves machine sustainability in manufacturing. This paper presents a dynamic programming approach for optimally controlling a single server manufacturing system with finite capacity and Poisson arrivals (M/M/1/K). The admission of parts into the system is controlled together with the service rate of the machine tool. Further, the machine can be triggered in a low power consumption state when the service is interrupted. The structural properties of the optimal control are analyzed when the transition off/on is instantaneous and when a transitory - i.e., warm-up - is necessary to resume the service. The transitory length is considered exponentially distributed. Numerical results are based on value iteration approximation.File | Dimensione | Formato | |
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