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

Jau-Chuan KeKuo-Hsiung Wang — 2003

RAIRO - Operations Research - Recherche Opérationnelle

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 to a Poisson...

Analysis of Operating Characteristics for the Heterogeneous Batch Arrival Queue with Server Startup and Breakdowns

Jau-Chuan KeKuo-Hsiung Wang — 2010

RAIRO - Operations Research

In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on ( begins startup) when units are accumulated in the system and off when the system is empty. We model this system by an M/M/1 queue with server breakdowns and startup time under the  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 to a Poisson process....

Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers

Kuo-Hsiung WangSheau-Chyi ChenJau-Chuan Ke — 2004

RAIRO - Operations Research - Recherche Opérationnelle

This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability ( 1 - b ) . We develop the maximum likelihood estimates of the parameters for the M/M/R/N queue with balking and heterogeneous servers. This is a generalization of the M/M/2 queue with heterogeneous servers (without balking), and the M/M/2/N queue with balking and heterogeneous servers in the literature. We also develop the confidence interval formula for the parameter ρ , the...

Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers

Kuo-Hsiung WangSheau-Chyi ChenJau-Chuan Ke — 2010

RAIRO - Operations Research

This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability (1 - . We develop the maximum likelihood estimates of the parameters for the M/M/R/N queue with balking and heterogeneous servers. This is a generalization of the M/M/2 queue with heterogeneous servers (without balking), and the M/M/2/N queue with balking and heterogeneous servers in the literature. We also develop the confidence interval formula for the parameter...

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