A Queueing Consideration for Japanese Production System and Its 2-Stage Design

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  • 日本的生産方式の待ち行列的考察と2段階設計
  • ニホンテキ セイサン ホウシキ ノ マチ ギョウレツ テキ コウサツ ト 2 ダンカイ セッケイ

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Abstract

This paper presents three economic queueing models of push and pull types, discusses the limits of pull on Japanese production systems, and considers the problem of setting the economic leadtime by 2-stage design metbod. A single-stage lot/cell production system under make-to-order/stock is here treated, and is assumed to be Poisson arrival and exponential service in batch. First, we give the expected operatian cost of three queueing models. This cost consists of inventory/order, backlog, busy, and idle costs, and the bebaviours of these costs are showed as a function of mean processing time or fixed setup time. The optimal(or economic)traffic exists, and the minimum operating cost is found grapbically. Second, the push vs.pull system is discussed from a view of inventory or operating cost. One limitation of the pull system is that a reduction in setup-time can cause the inventory cost to inflate, and a minimum operating cost exists. Another limitation is that the pull system is specially better for the case that the inventory cost is important to managers, but that a backlog is allowed. Third, a scientific basis of economic leadtime setting is given by 2-stage de-sign method. The economic processing time is obtained at the first stage, and the economic leadtime can be set at the second stage under the economic processing time. The economic leadtime of a pull system is not necessarily better than that of a push system.

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