Execution measures of a non-Markovian queuing system in avionic communication

K. Karthikeyan, S. Maragathasundari and P. Manikandan

International Journal of Process Management and Benchmarking, 2023, vol. 14, issue 3, 329-355

Abstract: In this queuing system of avionic communications, the clients (input) appear into the system in batches. Their arrival follows the Poisson ascension. Service time follows general distribution. The service here is provided in a single management phase. Before the main service, all clients must go through the two preparation phases of server management. Second stage pre-processing management is given after a delay. During this period, customers must queue up to receive service. In this model, an idea of reneging and restricted admissibility is proposed. To minimise the server interruption, vacation concept is introduced after the completion of service. This type of queuing situation is solved through supplementary variable strategies. Probabilistic generating function of the queue size, idle time of the server, utilisation factor and various execution measures are derived. Model is discussed in detail through numerical analysis, practical application and mathematical demarcation methods. The graphic survey gives an accurate measurement of the limits attempted in this survey.

Keywords: non-Markovian queuing problem; batch arrival; setup time stages; supplementary variable technique; reneging; restricted admissibility; vacation interruption; service interruption. (search for similar items in EconPapers)
Date: 2023
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