Aircraft Arrival Delay Under Uncertainty: G-Queue Modelling Concept

Teoh, Lay Eng

doi:10.1007/978-981-15-4756-0_25

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2021

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“…Abbas and Assani [16] investigated the performance of the system that is affected by negative customers in a GI/M/1 queue. Recently, the concept of G-queue has also been applied by Teoh [17] in modelling the framework for delay in aircraft arrival. Most of the early work on G-queue focus on continuous-time queueing system.…”

Section: Introductionmentioning

confidence: 99%

An alternative approach in finding the stationary queue length distribution of a queueing system with negative customers

et al. 2021

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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.

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Section: Introductionmentioning

confidence: 99%