On the distribution of the number of retrials

Applied Mathematical Modelling

Volumn 31, Issue 3, 2007, Pages 478-489

  Artalejo, J R ^a   Lopez Herrero, M J ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Repeated attempts; Retrial queue; Tagged customer; Waiting time

Indexed keywords

COMPUTER SIMULATION; CUSTOMER SATISFACTION; DELAY CONTROL SYSTEMS; QUEUEING THEORY;

REPEATED ATTEMPTS; RETRIAL QUEUE; TAGGED CUSTOMER; WAITING TIME;

OPERATIONS RESEARCH;

COMPUTER SIMULATION; CUSTOMER SATISFACTION; DELAY CONTROL SYSTEMS; OPERATIONS RESEARCH; QUEUEING THEORY;

EID: 33750803735     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2005.11.008     Document Type: Article

References (14)

1. Falin G.I., and Templeton J.G.C. Retrial Queues (1997), Chapman & Hall, London
2. Artalejo J.R. Accessible bibliography on retrial queues. Math. Comput. Model. 30 (1999) 1-6
3. Artalejo J.R. A classified bibliography of research on retrial queues: progress in 1990-1999. Top 7 (1999) 187-211
4. [X]/G/1 retrial queue with control of admission. Appl. Math. Model. 29 (2005) 1100-1120
5. Krishna Kumar B., Pavai Madheswari S., and Vijayakumar A. The M/G/1 retrial queue with feedback and starting failures. Appl. Math. Model. 26 (2002) 1057-1075
6. Artalejo J.R., Falin G.I., and Lopez-Herrero M.J. A second order analysis of the waiting time in the M/G/1 retrial queue. Asia-Pacific J. Operat. Res. 19 (2002) 131-148
7. Artalejo J.R., and Gomez-Corral A. Waiting time in the M/M/c queue with finite retrial group. Bull. Kerala Math. Assoc. 2 (2005) 1-17
8. Keilson J., Cozzolino J., and Young H. A service system with unfilled requests repeated. Operat. Res. 16 (1968) 1126-1137
9. Falin G.I. On the waiting-time process in a single-line queue with repeated calls. J. Appl. Prob. 23 (1986) 185-192
10. Falin G.I., and Fricker C. On the virtual waiting time in an M/G/1 retrial queue. J. Appl. Prob. 28 (1991) 446-460
11. de Kok A.G. Algorithmic methods for single server systems with repeated attempts. Statist. Neerlandica 38 (1984) 23-32
12. Neuts M.F. Matrix Geometric Solutions in Stochastic Models. An Algorithmic Approach (1981), Dover Publications Inc., New York
13. Artalejo J.R., and Pozo M. Numerical calculation of the stationary distribution of the main multiserver retrial queue. Ann. Operat. Res. 116 (2002) 41-56
14. Lopez-Herrero M.J., and Neuts M.F. The distribution of the maximum orbit size of an M/G/1 retrial queue during the busy period. In: Artalejo J.R., and Krishnamoorthy A. (Eds). Proceedings of the International Conference on Stochastic Models & 4th International Workshop on Retrial Queues, Cochin, December 17-21 (2002), Notable Publications 219-232