Displaying similar documents to “Comparison of inventory systems with service, positive lead-time, loss, and retrial of customers.”

A mathematical model for an optimal appointed delivery date on a home delivery market

Hidefumi Kawakatsu, Hiroaki Sandoh (2005)

RAIRO - Operations Research - Recherche Opérationnelle

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In recent years, the home delivery market has rapidly been growing since customers can purchase a variety of products very easily via Internet. At the same time, however, customers tend to switch from a supplier to another seeking for better service for them. For this reason, it is necessary for suppliers to enclose their customers by means of various kinds of service and strategy. An appointed delivery date of a product ordered by a customer is one of important factors of supplier’s...

Analysis of operating characteristics for the heterogeneous batch arrival queue with server startup and breakdowns

Jau-Chuan Ke, Kuo-Hsiung Wang (2003)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when N units are accumulated in the system and off when the system is empty. We model this system by an M [ x ] /M/1 queue with server breakdowns and startup time under the N policy. The arrival rate varies according to the server’s status: off, startup, busy, or breakdown. While the server is working, he is subject to breakdowns according...

M/M/1 retrial queue with collisions and working vacation interruption under N-policy

Li Tao, Zaiming Liu, Zhizhong Wang (2012)

RAIRO - Operations Research - Recherche Opérationnelle

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Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, some numerical examples are presented. ...