A Single Server Retrial Queue with Different Types of Server Interruptions

We consider a single server retrial queue with the server subject to interruptions and classical retrial policy for the access from the orbit to the server. We analyze the equilibrium distribution of the system and obtain the generating functions of the limiting distribution.

[1]  Nico M. van Dijk,et al.  Simple Bounds for Queueing Systems with Breakdowns , 1988, Perform. Evaluation.

[2]  Hiroyuki Masuyama,et al.  STATIONARY QUEUE LENGTH IN A FIFO SINGLE SERVER QUEUE WITH SERVICE INTERRUPTIONS AND MULTIPLE BATCH MARKOVIAN ARRIVAL STREAMS , 2003 .

[3]  K. Thiruvengadam.  Queuing with Breakdowns , 1963 .

[4]  Quanlin Li,et al.  Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs , 2001, Queueing Syst. Theory Appl..

[5]  D. Gaver.  A Waiting Line with Interrupted Service, Including Priorities , 1962 .

[6]  R. Núñez Queija,et al.  Centrum Voor Wiskunde En Informatica Reportrapport Sojourn times in a Processor Sharing Queue with Service Interruptions Sojourn times in a Processor Sharing Queue with Service Interruptions , 2022 .

[7]  Jesús R. Artalejo,et al.  Retrial Queueing Systems: A Computational Approach , 2008 .

[8]  P. Naor,et al.  Some Queuing Problems with the Service Station Subject to Breakdown , 1963 .

[9]  L. Christie,et al.  Queuing with Preemptive Priorities or with Breakdown , 1958 .

[10]  Tetsuya Takine,et al.  A single server queue with service interruptions , 1997, Queueing Syst. Theory Appl..

[11]  R. Núñez-Queija,et al.  Sojourn times in a processor sharing queue with service interruptions , 1999 .

[12]  Awi Federgruen,et al.  Queueing Systems with Service Interruptions , 1986, Oper. Res..

[13]  J. Templeton.  Retrial queues , 1999 .

[14]  Dieter Fiems,et al.  Queueing systems with different types of server interruptions , 2008, Eur. J. Oper. Res..

[15]  Jesús R. Artalejo,et al.  New results in retrial queueing systems with breakdown of the servers , 1994 .