A Management Cycle Model : Switching Control under Lot Processing and Time Span

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  • Management Cycle Model Switching Control under Lot Processing and Time Span

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From the standpoint of operations management, we focus on a management cycle that consists of plan (P), do (D), check (C) and act (A) phases, and concern with the difference between PDCA and CAPD cycles. This paper studies a mathematical/stochastic modeling of the management cycle under lot processing and time span. This modeling is called the type of (t, k; T)-switching policy, in which the notations t, k and T means the review period, control limit and time span (due time), respectively. First, the switching modeling of the look-ahead (back) in PDCA (CAPD) is presented by stochastic approach, and corresponds to the trade-off problem of earliness (c_2) and tardiness (c_3) from time span (T). Next, the expected operating cost per unit produced is given by mathematical formulation, and the exponential processing type is treated as a special case of general service. Finally, the problem of optimal look-ahead/back strategy is numerically discussed and clarified on the base of(c_3, c_2)-strategy map in the fixed or variable T. In addition, an application to MRP/APS etc. is noted.

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