Algorithmic Analysis of the Maximum Queue Length in a Busy Period for the M/M/c Retrial Queue

References

• Artalejo J. R. Accessible bibliography on retrial queues. Math. Comput. Model. (1999a) 30:1–6Crossref, Google Scholar
• Artalejo J. R. A classified bibliography of research on retrial queues: Progress in 1990–1999. Top (1999b) 7:187–211Crossref, Google Scholar
• Artalejo J. R., Falin G. I. Standard and retrial queueing systems: A comparative analysis. Revista Matemática Complutense (2002) 15:101–129Google Scholar
• Choo Q. H., Conolly B. New results in the theory of repeated orders queueing systems. J. Appl. Probab. (1979) 16:631–640Crossref, Google Scholar
• Chung K. L.Markov Chains with Stationary Transition Probabilities (1967) 2nd ed.(Springer-Verlag, New York) Google Scholar
• Ciarlet P. G.Introduction to Numerical Linear Algebra and Optimization (1989) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
• Cooper R. B.Introduction to Queueing Theory (1981) 2nd ed.(Edward Arnold, London, UK) Google Scholar
• Falin G. I., Templeton J. G. C.Retrial Queues (1997) (Chapman and Hall, London, UK) Crossref, Google Scholar
• Gomez-Corral A. On extreme values of orbit lengths in M/G/1 queues with constant retrial rate. OR Spectrum (2001) 23:395–409Crossref, Google Scholar
• Lopez-Herrero M. J. Distribution of the number of customers served in an M/G/1 retrial queue. J. Appl. Probab. (2002) 39:407–412Crossref, Google Scholar
• Lopez-Herrero M. J., Neuts M. F., Artalejo J. R., Krishnamoorthy A. The distribution of the maximum orbit size of an M/G/1 retrial queue during the busy period. Advances in Stochastic Modelling (2002) (Notable Publications Inc., Chennai, India) 219–231Google Scholar
• Serfozo R. F. Extreme values of birth and death processes and queues. Stochastic Process. Appl. (1988) 27:291–306Crossref, Google Scholar