A SIMULATION STUDY OF A DISCRETE-TIME MULTISERVER RETRIAL QUEUE WITH FINITE POPULATION

In this paper, we deal with a discrete-time multiserver retrial queue with finite population. Firstly, we study the Markov chain at the epochs immediately after slot boundaries making emphasis on the computation of its steady-state distribution. Then, the main performance measures are investigated. Besides, we simulate the waiting time of a customer in the retrial group under three different queueing policies. Some numerical examples are given to illustrate the analysis.

[1]  Bong Dae Choi,et al.  Discrete-time Geo1, Geo2/G/1 retrial queueing systems with two types of calls , 1997 .

[2]  Jesús R. Artalejo,et al.  Accessible bibliography on retrial queues , 1999 .

[3]  I. Atencia,et al.  Discrete-time Geo[X]/GH/1 retrial queue with Bernoulli feedback , 2004 .

[4]  Jesus R. Artalejo,et al.  Performance analysis and optimal control of the Geo/Geo/c queue , 2003, Perform. Evaluation.

[5]  Ivan Atencia,et al.  A Discrete-Time Geo/G/1 Retrial Queue with General Retrial Times , 2004, Queueing Syst. Theory Appl..

[6]  H. Li,et al.  Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues , 1999 .

[7]  Jesus R. Artalejo,et al.  A finite source retrial queue , 1998, Eur. J. Oper. Res..

[8]  Jesus R. Artalejo,et al.  Numerical Calculation of the Stationary Distribution of the Main Multiserver Retrial Queue , 2002, Ann. Oper. Res..

[9]  Herwig Bruneel,et al.  Discrete-time multiserver queues with geometric service times , 2004, Comput. Oper. Res..

[10]  M. E. Woodward,et al.  Communication and computer networks - modelling with discrete-time queues , 1993 .

[11]  Hui Li,et al.  On the steady-state queue size distribution of the discrete-timeGeo/G/1 queue with repeated customers , 1995, Queueing Syst. Theory Appl..

[12]  Herwig Bruneel,et al.  Discrete-time models for communication systems including ATM , 1992 .

[13]  Ivan Atencia,et al.  A discrete-time Geo[X]/G/1 retrial queue with control of admission , 2005 .

[14]  Hui Li,et al.  Geo/G/1 discrete time retrial queue with Bernoulli schedule , 1998, Eur. J. Oper. Res..