Sojourn Time Analysis of a Single-Server Queue with Single- and Batch-Service Customers
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- Ayane Nakamura & Tuan Phung-Duc & Hiroyasu Ando, 2022. "Queueing analysis of a Car/Ride-Share system," Annals of Operations Research, Springer, vol. 310(2), pages 661-682, March.
- Ayane Nakamura & Tuan Phung-Duc, 2023. "Equilibrium Analysis for Batch Service Queueing Systems with Strategic Choice of Batch Size," Mathematics, MDPI, vol. 11(18), pages 1-22, September.
- A. Wang & I. Ziedins, 2018. "Probabilistic selfish routing in parallel batch and single-server queues," Queueing Systems: Theory and Applications, Springer, vol. 88(3), pages 389-407, April.
- Tom Van Woensel & Nico Vandaele, 2007. "Modeling Traffic Flows With Queueing Models: A Review," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 435-461.
- J. Medhi, 1975. "Waiting Time Distribution in a Poisson Queue with a General Bulk Service Rule," Management Science, INFORMS, vol. 21(7), pages 777-782, March.
- Moeko Yajima & Tuan Phung-Duc, 2017. "Batch arrival single-server queue with variable service speed and setup time," Queueing Systems: Theory and Applications, Springer, vol. 86(3), pages 241-260, August.
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Keywords
quasi-birth-and-death analysis; sojourn time distribution; first-step analysis; Laplace–Stieltjes transform; approximation analysis;All these keywords.
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