Abstract
A mathematical model of an open multi-channel queuing sys-tem with a limited average residence time for claims in a queue having both “impatient” and “patient claims” is presented. With the help of the Kummer confluent hypergeo-metric function, a detailed mathematical formalization of the model was carried out and the basic probability char-acteristics of queuing systems of this type were computed. The main difference from the previously studied models of systems of this kind is the first introduced assumption that the so-called “impatient” customers can leave the queue only when the number of customers in the queue exceeds some predetermined fixed value. In this work, we used the general-purpose simulation system GPSS World based on the Monte Carlo method (random test method) and Mathcad as tools for simulation and visualization. The results show that the probability of leaving from the queue (impatient) of the service queue among the “patient” claims is less than the probability of service, it is the similarity of being in the queue among the claims that can exit it without waiting for the service to start.
Tran Quang Quy, Ngo Huu Huy: These authors contributed equally to this work.
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Quy, T.Q., Huy, N.H., Hai, N.V. (2023). Probable Characteristics of Multi-channel Queuing Systems with “Impatient” and “Patient” Claims. In: Nghia, P.T., Thai, V.D., Thuy, N.T., Son, L.H., Huynh, VN. (eds) Advances in Information and Communication Technology. ICTA 2023. Lecture Notes in Networks and Systems, vol 847. Springer, Cham. https://doi.org/10.1007/978-3-031-49529-8_30
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DOI: https://doi.org/10.1007/978-3-031-49529-8_30
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