On asymptotics of the emptiness probability in the M/GI/1 queue

Author:

Yashkov S. F.,Yashkova A. S.

Publisher

Pleiades Publishing Ltd

Subject

Control and Systems Engineering,Electrical and Electronic Engineering

Reference10 articles.

1. Yashkov, S.F., Analiz ocheredei v EVM (Analysis of Queues in Computers), Moscow: Radio i Svyaz’, 1989.

2. Yashkov, S.F. and Yashkova, A.S., Processor Sharing: A Survey of the Mathematical Theory, Autom. Remote Control, 2007, vol. 68, no. 9, pp. 1662–1731.

3. Yashkov, S.F. and Yashkova, A.S., Some Insight to the Time-Dependent Properties of the Queue Length Process in the M/G/1-EPS and LCFS-P Queues, Information Processes, 2005, vol. 5, no. 2, pp. 102–105 (available at http://www.jip.ru/ ).

4. Abate, J., Choudhuri, G.L., and Whitt, W., Calculating the M/G/1 Busy-Period Density and LIFO Waiting-Time Distribution by Direct Numerical Transform Inversion, Oper. Res. Lett., 1995, vol. 18, pp. 113–119.

5. Asmussen, S. and Teugels, J.L., Convergence Rates for M/G/1 Queues and Ruin Problems with Heavy Tails, Adv. Appl. Probab. (to be published).

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1. On the asymptotics of the busy period tail under the critical load;Journal of Communications Technology and Electronics;2011-12

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