Citation

Koh, Siew Khew and Chin, Ching Herny 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: The 16th IMT-GT International Conference on Mathematics, Statistics and their Applications (ICMSA 2020), 23-24 Nov 2020, Online, Selangor, Malaysia.

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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:	Consumer behavior
Subjects:	H Social Sciences > HF Commerce > HF5001-6182 Business > HF5410-5417.5 Marketing. Distribution of products
Divisions:	Faculty of Engineering (FOE)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	12 Oct 2021 05:27
Last Modified:	12 Oct 2021 06:29
URII:	http://shdl.mmu.edu.my/id/eprint/8538

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