Title :
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
Abstract :
This paper develops a new method for calculating the steady-state queue-length distribution on Mx/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; Mx/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;
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
DOI :
10.1109/IHMSC.2009.197