On a discrete modified M / G I / c / ∞ queue

Anatolij Dvurečenskij

Aplikace matematiky (1987)

  • Volume: 32, Issue: 3, page 214-223
  • ISSN: 0862-7940

Abstract

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The busy period distribution of a discrete modified queue M / G I / c / ∞ , with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.

How to cite

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Dvurečenskij, Anatolij. "On a discrete modified $M/GI/c/\infty $ queue." Aplikace matematiky 32.3 (1987): 214-223. <http://eudml.org/doc/15494>.

@article{Dvurečenskij1987,
abstract = {The busy period distribution of a discrete modified queue $M/GI/c/\infty $, with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.},
author = {Dvurečenskij, Anatolij},
journal = {Aplikace matematiky},
keywords = {discrete modified queue; busy period; idle period; geometrically distributed interarrival times; discrete modified queue; busy period; idle period; geometrically distributed interarrival times},
language = {eng},
number = {3},
pages = {214-223},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a discrete modified $M/GI/c/\infty $ queue},
url = {http://eudml.org/doc/15494},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
TI - On a discrete modified $M/GI/c/\infty $ queue
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 3
SP - 214
EP - 223
AB - The busy period distribution of a discrete modified queue $M/GI/c/\infty $, with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.
LA - eng
KW - discrete modified queue; busy period; idle period; geometrically distributed interarrival times; discrete modified queue; busy period; idle period; geometrically distributed interarrival times
UR - http://eudml.org/doc/15494
ER -

References

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  1. A. Dvurečenskij, al., 10.2307/3213680, J. Appl. Probab., 21 (1984), 201-206. (1984) MR0732687DOI10.2307/3213680
  2. A. Dvurečenskij G. A. Ososkov, A discrete modified counter with prolonging dead time, JINR, E 5-84-823, Dubna (1984). (1984) 
  3. В. В. Калашников, О совместном распределении пероидов занятости и простоев для систем обслуживания, Изв. АН СССР Техн. киб. № 6 (1971), 106-109. (1971) Zbl1170.92344
  4. В. Б Ивановский, О свойствах выходных потоков в дискретных системах массового обслуживания, Авт. и Телемех. № 11 (1984) 32-39. (1984) Zbl1170.01392
  5. A. G. Pakes, 10.1007/BF02479785, Ann. Inst. Stát. Math. 24 (1972), 589-597. (1972) MR0336844DOI10.1007/BF02479785
  6. A. G. Pakes, 10.2307/3212506, J. Appl. Prob. 10 (1973), 192-197. (1973) Zbl0265.60091MR0350902DOI10.2307/3212506
  7. J. G. Shanthikumar, Level crossing analysis of some variants of GI/M/1 queues, Opsearch. 19 (1982), 148-159. (1982) Zbl0506.60094MR0696148
  8. P. D. Welch, 10.1287/opre.12.5.736, Oper. res. 12 (1964), 736-752. (1964) MR0176544DOI10.1287/opre.12.5.736
  9. G. F. Yeo, Single server queues with modified service mechanisms, J. Austral. Math. Soc. 3 (1962), 491-502. (1962) Zbl0134.35302MR0181026

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