Citation

Chin, Ching Herny and Koh, Siew Khew and Tan, Yi Fei and Ng, Tan Ching (2021) An alternative approach in finding the stationary queue length distribution of a queueing system with negative customers. In: 16th IMT-GT International Conference on Mathematics, Statistics and their Applications (ICMSA), 23-24 November 2021, Virtual Conference.

Text An alternative approach in finding the stationary queue....pdf Restricted to Repository staff only Download (473kB)

Abstract

A single-server queueing system with negative customers is considered in this paper. One positive customer will be removed from the head of the queue if any negative customer is present. The distribution of the interarrival time for the positive customer is assumed to have a rate that tends to a constant as time t tends to infinity. An alternative approach will be proposed to derive a set of equations to find the stationary probabilities. The stationary probabilities will then be used to find the stationary queue length distribution. Numerical examples will be presented and compared to the results found using the analytical method and simulation procedure. The advantage of using the proposed alternative approach will be discussed in this paper.

Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	Queuing theory
Subjects:	Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics
Divisions:	Faculty of Engineering (FOE)
Depositing User:	Ms Nurul Iqtiani Ahmad
Date Deposited:	28 Jul 2021 13:07
Last Modified:	28 Jul 2021 13:07
URII:	http://shdl.mmu.edu.my/id/eprint/9053

Downloads

Edit (login required)