Citation

Goh, Yong Kheng and Koh, Siew Khew and Chin, Ching Herny and Tan, Yi Fei and Teoh, L. E. and Pooi, Ah Hin (2018) Stationary queue length of a single-server queue with negative arrivals and nonexponential service time distributions. In: 2018 2nd International Conference on Material Engineering and Advanced Manufacturing Technology (MEAMT 2018), 2018.

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Abstract

In this paper, a single-server queue with negative customers is considered. The arrival of a negative customer will remove one positive customer that is being served, if any is present. An alternative approach will be introduced to derive a set of equations which will be solved to obtain the stationary queue length distribution. We assume that the service time distribution tends to a constant asymptotic rate when time t goes to infinity. This assumption will allow for finding the stationary queue length of queueing systems with non-exponential service time distributions. Numerical examples for gamma distributed service time with fractional value of shape parameter will be presented in which the steady-state distribution of queue length with such service time distributions may not be easily computed by most of the existing analytical methods.

Item Type:	Conference or Workshop Item (Paper)
Additional Information:	Stationary sequences (Mathematics)
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Engineering (FOE)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	01 May 2021 15:20
Last Modified:	01 May 2021 15:20
URII:	http://shdl.mmu.edu.my/id/eprint/7658

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