Citation

Tan, Yi Fei and Goh, Yong Kheng and Pooi, Ah Hin and Chin, Ching Herny and Koh, Siew Khew (2018) Stationary queue length distribution of a continuous-time queueing system with negative arrival. Journal of Physics: Conference Series, 1132. ISSN 1742-6588

Text Chin_2018_J._Phys.__Conf._Ser._1132_012057.pdf - Published Version Restricted to Repository staff only Download (685kB)

Abstract

This paper studies a continuous-time single-server infinite capacity queueing system with two types of customer: positive and negative customers. Positive customers are ordinary customers that receives service in the server. A negative customer that arrives to the system according to a Poisson process with rate γ will remove one positive customer at the head upon its arrival. By assuming that the interarrival time and service time distributions tend to a constant when time t goes to infinity, a set of equations will be derived by using an alternative approach to find the stationary queue length distribution. Numerical results obtained by the alternative approach will be compared to those obtained by the existing method and verified by the simulation procedure.

Item Type:	Article
Uncontrolled Keywords:	Communication system,neural networks
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television
Divisions:	Faculty of Engineering (FOE)
Depositing User:	Ms Suzilawati Abu Samah
Date Deposited:	29 Mar 2021 19:49
Last Modified:	29 Mar 2021 19:49
URII:	http://shdl.mmu.edu.my/id/eprint/7565

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