Steady-State Queue-Length Distribution for Mx/G/1 Queue under N-policy

Author

Mingwu, Liu ; Yongkai, Ma ; Bin, Deng

Author_Institution

Sch. of Manage. & Econ., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

2

fYear

2009

fDate

26-27 Aug. 2009

Firstpage

294

Lastpage

297

Abstract

This paper develops a new method for calculating the steady-state queue-length distribution on M^x/G/1 queueing system under N-policy. By the Leibniz formula of derivation and the stochastic decomposition property, we get the additional queue-length distribution and the recursion expressions of queue-length distribution. An example is given for illustrating the application of the recursion expression and the sensitivity analysis is also investigated.

Keywords

queueing theory; sensitivity analysis; stochastic processes; Leibniz formula; M^x/G/1 queue; n-policy; recursion expression; sensitivity analysis; steady-state queue-length distribution; stochastic decomposition property; Conference management; Entropy; Paper technology; Probability distribution; Queueing analysis; Sensitivity analysis; Steady-state; Stochastic processes; Stochastic systems; Technology management; Leibniz formula; N-policy; queue-length distribution; recursion expression; stochastic decomposition;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Human-Machine Systems and Cybernetics, 2009. IHMSC '09. International Conference on

Conference_Location

Hangzhou, Zhejiang

Print_ISBN

978-0-7695-3752-8

Type

conf

DOI

10.1109/IHMSC.2009.197

Filename

5335984