주문량에 따라 생산 속도를 조절하는 제조시스템의 분석

초록

In this study, we analyze a manufacturing system with a variable production rate. The system produces an item upon a request. If an arriving request finds the system occupied, the request waits in the queue. The production (or service) time distribution of requests (or customers) upon production initiation is changed if the number of requests in the system reaches a predefined threshold . Then, the changed production time distribution continues until the number of requests in the system is reduced to another threshold , and this process is repeated. We model this system as an queue with a modified state-dependent service rate and analyze the system using an embedded Markov chain and a supplementary variable method. The performance measures of the queue-length distributions at a customer’s departure epochs and at an arbitrary time are derived. Numerical examples are also presented.

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