Optimal Demand and Release Lead Time in an M/D/1 Base Stock Production and Inventory System with Advance Demand Information(Theory and Methodology)

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  • 事前需要情報をもつM/D/1型基点生産在庫システムにおける最適需要リードタイムとリリースリードタイム(理論・技術)
  • 事前需要情報をもつM/D/1型基点生産在庫システムにおける最適需要リードタイムとリリースリードタイム
  • ジゼン ジュヨウ ジョウホウ オ モツ M/D/1ガタ キテン セイサン ザイコ システム ニ オケル サイテキ ジュヨウ リードタイム ト リリースリードタイム

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A production and inventory system under a base stock policy is considered with advance demand information. Demand arrival is informed in advance with a fixed time, called demand lead time. An arrival process of demand is Poisson, and processing time is assumed to be deterministic. The arrival rate of demand is assumed to be nonincreasing in the demand lead time. In this system, the optimal number of base stocks and optimal demand lead time are analyzed. In addition, for large demand lead time, a release lead time is introduced, in which case the order for processing is postponed after each arrival of advance demand information. The relationship between release lead time and demand lead time is also discussed.

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