Queueing Systems With Four Different Main Server's Interruptions and a Stand-By Server
TLDR
This work studied a queuing system with four different main server interruptions and a stand-by server replaces the main server during any potential stop and the distribution of the service, vacation, extended vacation, repairs and delay times all follow general distributions.Abstract:
This work studied a queuing system with four different main server interruptions and a stand-by server replaces the main server during any potential stop. The main server has five statues in this system where it is either services the customers( active) or it does not work because of one of the four reason; original vacation, extended vacation, it is broken-down but the repairs did not start yet (delay time) and broken-down servers under repairs. The arrivals are assumed to attend the system in batches. All the distributions of the service, vacation, extended vacation, repairs and delay times all follow general distributions while the breakdown times and the stand-by service times are exponentially distributed.read more
Citations
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Mathematical Models of Mb/M/1 Bulk Arrival Queueing System
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An M[X]/G(a,b)/1 Queueing System with Breakdown and Repair, Stand-By Server, Multiple Vacation and Control Policy on Request for Re-Service
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M[x]/G/1 Multistage Queue with Stand-by Server During Main Server’s Interruptions
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Continuous-Service M/M/1 Queuing Systems
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References
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Journal ArticleDOI
Queueing systems with vacations—a survey
TL;DR: This survey gives an overview of some general decomposition results and the methodology used to obtain these results for two vacation models and attempts to provide a methodological overview to illustrate how the seemingly diverse mix of problems is closely related in structure and can be understood in a common framework.
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Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs
TL;DR: This paper gives a detailed analysis for reliability of retrial queues using the supplementary variables method and obtains explicit expressions of some main reliability indexes such as the availability, failure frequency and reliability function of the server.
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An M/G/1 queue with second optional service and server breakdowns
TL;DR: Using a supplementary variable method, the transient and the steady-state solutions for both queueing and reliability measures of interest are obtained for an M/G/1 with second optional service and unreliable server.
Journal ArticleDOI
On the single server retrial queue subject to breakdowns
Amar Aissani,Jesús R. Artalejo +1 more
TL;DR: This paper introduces the concept of fundamental server period and an auxiliary queueing system with breakdowns and option for leaving the system, and obtains simplified expressions for the partial generating functions of the server state and the number of customers in the retrial group.