Steady state analysis of an M/G/1 queue with linear retrial policy and two phase service under Bernoulli vacation schedule

We consider a single server queueing system with two phases of heterogeneous service and Bernoulli vacation schedule which operate under the so called linear retrial policy. This model extends both the classical M/G/1 retrial queue with linear retrial policy as well as the M/G/1 queue with two phases of service and Bernoulli vacation model. We carry out an extensive analysis of the model.

[1]  James G. C. Templeton,et al.  A survey on retrial queues , 1989 .

[2]  B. Krishna Kumar,et al.  The M/G/1 retrial queue with Bernoulli schedules and general retrial times , 2002 .

[3]  Kailash C. Madan,et al.  A Single Server Queue with Two Phases of Heterogeneous Service under Bernoulli Schedule and a General Vacation Time , 2005 .

[4]  G Fayolle.  A simple telephone exchange with delayed feedbacks , 1986 .

[5]  L. Breuer.  Introduction to Stochastic Processes , 2022, Statistical Methods for Climate Scientists.

[6]  Robert B. Cooper,et al.  An Introduction To Queueing Theory , 2016 .

[7]  Kailash C. Madan.  On a single server queue with two-stage heterogeneous service and deterministic server vacations , 2001, Int. J. Syst. Sci..

[8]  Julian Keilson,et al.  Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules , 1986, Journal of Applied Probability.

[9]  Oj Onno Boxma,et al.  Teletraffic Analysis and Computer Performance Evaluation , 1988 .

[10]  Robert B. Cooper,et al.  Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations , 1985, Oper. Res..

[11]  Kailash C. Madan,et al.  A two-stage batch arrival queueing system with a modified bernoulli schedule vacation under N-policy , 2005, Math. Comput. Model..

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

[13]  Kambiz Farahmand,et al.  Single line queue with repeated demands , 1990, Queueing Syst. Theory Appl..

[14]  Hideaki Takagi,et al.  Queueing analysis: a foundation of performance evaluation , 1993 .

[15]  Yann-Hang Lee,et al.  A study of two-phase service , 1990 .

[16]  Gautam Choudhury,et al.  A two phases queueing system with Bernoulli vacation schedule under multiple vacation policy , 2006 .

[17]  Bharat T. Doshi,et al.  Analysis of a two phase queueing system with general service times , 1991, Oper. Res. Lett..

[18]  Jesús R. Artalejo,et al.  A classified bibliography of research on retrial queues: Progress in 1990–1999 , 1999 .

[19]  Gennadi Falin,et al.  A survey of retrial queues , 1990, Queueing Syst. Theory Appl..

[20]  Jesús R. Artalejo,et al.  Standard and retrial queueing systems: a comparative analysis , 2002 .

[21]  Linn I. Sennott,et al.  Technical Note - Mean Drifts and the Non-Ergodicity of Markov Chains , 1983, Oper. Res..

[22]  V. Sivasankaran,et al.  A two-phase queueing system with server vacations , 1994, Oper. Res. Lett..

[23]  Ronald W. Wolff,et al.  Poisson Arrivals See Time Averages , 1982, Oper. Res..

[24]  Gautam Choudhury,et al.  Steady state analysis of an Mx/G/1 queue with two phase service and Bernoulli vacation schedule under multiple vacation policy , 2007 .