Numerical calculation of the stationary distribution of the main multiserver retrial queue

Annals of Operations Research

Volumn 116, Issue 1-4, 2002, Pages 41-56

  Artalejo, J R ^a   Pozo, M ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Algorithmic probability; Performance analysis; Retrial queues; Stationary distribution

Indexed keywords

EID: 0036449558     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/A:1021359709489     Document Type: Conference Paper

References (20)

1. J.R. Artalejo, A queueing system with returning customers and waiting line, Operations Research Letters 17 (1995) 191-199.
2. J.R. Artalejo, Stationary analysis of the characteristics of the M/M/2 queue with constant repeated attempts, Opsearch 33 (1996) 83-95.
3. J.R. Artalejo, Accessible bibliography on retrial queues, Mathematical and Computer Modelling 30 (1999) 1-6.
4. J.R. Artalejo, A classified bibliography of research on retrial queues: Progress in 1990-1999, Top 7 (1999) 187-211.
5. J.R. Artalejo, A. Gomez-Corral and M.F. Neuts, Numerical analysis of multiserver retrial queues operating under a full access policy, in: Advances in Algorithmic Methods for Stochastic Models, eds. G. Latouche and P.G. Taylor (Notable Publications, Inc., 2000).
6. B.D. Choi, Y.C. Kim and Y.W. Lee, The M/M/c retrial queue with geometric loss and feedback, Computers and Mathematics with Applications 36 (1998) 41-52.
7. J.W. Cohen, Basic problems of telephone traffic theory and the influence of repeated calls, Phillips Telecommunication Review 18 (1957) 49-100.
8. G.I. Falin, Calculation of probability characteristics of a multiline system with repeat calls, Moscow University Computational Mathematics and Cybernetics 1 (1983) 43-49.
9. G.I. Falin and J.R. Artalejo, Approximations for multiserver queues with balking/retrial discipline, OR Spektrum 17 (1995) 239-244.
10. G.I. Falin and J.G.C. Templeton, Retrial Queues (Chapman and Hall, London, 1997).
11. A. Gomez-Corral and M.F. Ramalhoto, The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems, Mathematical and Computer Modelling 30 (1999) 141-158.
12. T. Hanschke, A matrix continued fraction algorithm for the multi-server repeated order queue, Mathematical and Computer Modelling 30 (1999) 159-170.
13. Z. Khalil, G.I. Falin and T. Yang, Some analytical results for congestion in subscriber line modules, Queueing Systems 10 (1992) 381-402.
14. Y.C. Kim, On M/M/3/3 retrial queueing system, Honam Mathematical Journal 17 (1995) 141-147.
15. C. Langaris, Markovian polling systems with mixed service disciplines and retrial customers, Top 7 (1999) 305-322.
16. M.F. Neuts and B.M. Rao, Numerical investigation of a multiserver retrial model, Queueing Systems 7 (1990) 169-190.
17. C.E.M. Pearce, Extended continued fractions, recurrence relation, and two-dimensional Markov processes, Advances in Applied Probability 21 (1989) 357-375.
18. M.F. Ramalhoto and A. Gomez-Corral, Some decomposition formulae for M/M/r/r+d queues with constant retrial rate, Stochastic Models 14 (1998) 123-145.
19. S.N. Stepanov, Markov models with retrials: the calculation of stationary performance measures based on the concept of truncation, Mathematical and Computer Modelling 30 (1999) 207-228.
20. R.I. Wilkinson, Theories for toll traffic engineering in the U.S.A., The Bell System Technical Journal 35 (1956) 421-514.