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This paper is concerned with the analysis of the busy period distribution in a batch arrival $M^X/G/1$ retrial queue. The expression for the Laplace-Stieltjes transform of the length of the busy period is well known, but from this expression we cannot compute the moments of the length of the busy period by direct differentiation. This paper provides a direct method of calculation for the first and second moments of the length of the busy period.
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참고문헌 (12)
참고문헌 신청
G. I. Falin / 1979 / A single-line system with secondary orders / Engrg. Cybernetics Review 17 : 76 ~ 83
G. I. Falin / 1981 / Functioning under nonsteady conditions of a single-channel system with group arrival of requests and repeated calls / Ukrainian Math. J 33 : 429 ~ 432
G. I. Falin / 1990 / A survey of retrial queues / Queueing Syst 7 (2) : 127 ~ 168
G. I. Falin / 1997 / Retrial Queues / Chapman & Hall
J. Kim / 2016 / A survey of retrial queueing systems / Ann. Oper. Res 247 (1) : 1 ~ 36
G. I. Falin / 1981 / Functioning under nonsteady conditions of a single-channel system with group arrival of requests and repeated calls / Ukrainian Math. J 33 : 429 ~ 432
G. I. Falin / 1990 / A survey of retrial queues / Queueing Syst 7 (2) : 127 ~ 168
G. I. Falin / 1997 / Retrial Queues / Chapman & Hall
J. Kim / 2016 / A survey of retrial queueing systems / Ann. Oper. Res 247 (1) : 1 ~ 36
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