FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

doi:10.1016/S0252-9602(14)60086-2

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1301-1330.doi: 10.1016/S0252-9602(14)60086-2

FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

艾尼?吾甫尔|艾合买提?卡斯木

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

收稿日期:2012-04-02 修回日期:2013-03-27 出版日期:2014-07-20 发布日期:2014-07-20
基金资助:
This work was supported by the National Natural Science Foundation of China (11371303) and Natural Science Foundation of Xinjiang (2012211A023), and Science Foundation of Xinjiang University (XY110101).

FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

Geni GUPUR, Ehmet KASIM

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Received:2012-04-02 Revised:2013-03-27 Online:2014-07-20 Published:2014-07-20
Supported by:
This work was supported by the National Natural Science Foundation of China (11371303) and Natural Science Foundation of Xinjiang (2012211A023), and Science Foundation of Xinjiang University (XY110101).

摘要/Abstract

摘要：

By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-
state queueing size at the departure point.

关键词: M/G/1 queueing model with optional second service, eigenvalue, resolvent set

Abstract:

Key words: M/G/1 queueing model with optional second service, eigenvalue, resolvent set

中图分类号:

47A10

艾尼·吾甫尔, 艾合买提·卡斯木. FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE[J]. 数学物理学报(英文版), 2014, 34(4): 1301-1330.

Geni GUPUR, Ehmet KASIM. FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE[J]. Acta mathematica scientia,Series B, 2014, 34(4): 1301-1330.

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FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

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