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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...

Machine Repair Problem in Production Systems with Spares and Server Vacations

Jau-Chuan KeSsu-Lang LeeCheng-Hwai Liou — 2009

RAIRO - Operations Research

This paper studies the machine repair problem consisting of operating machines with spare machines, and servers (repairmen) who leave for a vacation of random length when there are no failed machines queuing up for repair in the repair facility. At the end of the vacation the servers return to the repair facility and operate one of three vacation policies: single vacation, multiple vacation, and hybrid single/multiple vacation. The Markov process and the matrix-geometric approach are used to...

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