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Quality Technology & Quantitative Management Volume 12, 2015 - Issue 3
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Original Articles

Equilibrium Mixed Strategies in a Discrete-Time Markovian Queue Under Multiple and Single Vacation Policies

Zaiming LiuSchool of Mathematics and Statistics, Central South University, Changsha, ChinaView further author information
,
Yan MaSchool of Mathematics and Statistics, Central South University, Changsha, ChinaView further author information
&
Zhe George ZhangCollege of Business and Economics, Western Washington University, Bellingham, WA, USA;Beedie School of Business, Simon Fraser University, British Columbia, CanadaCorrespondence[email protected]
View further author information
Pages 369-382 | Received 01 Nov 2013, Accepted 01 May 2014, Published online: 09 Feb 2016

Citations (10)

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Read on this site (4)

Yitong Zhang, Xiuli Xu & Mingxin Liu. (2023) Optimal strategy analysis of a Markovian queue with variable vacation and vacation interruptions under unobservable cases. Quality Technology & Quantitative Management 0:0, pages 1-31.
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Chandra Shekhar, Shreekant Varshney & Amit Kumar. (2021) Matrix-geometric solution of multi-server queueing systems with Bernoulli scheduled modified vacation and retention of reneged customers: A meta-heuristic approach. Quality Technology & Quantitative Management 18:1, pages 39-66.
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M. I. G. Suranga Sampath & Jicheng Liu. (2020) Impact of customers’ impatience on an M/M/1 queueing system subject to differentiated vacations with a waiting server. Quality Technology & Quantitative Management 17:2, pages 125-148.
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Doo Ho Lee. (2019) Equilibrium balking strategies in Markovian queues with a single working vacation and vacation interruption. Quality Technology & Quantitative Management 16:3, pages 355-376.
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Articles from other publishers (6)

Sudhesh Ramupillai, Mohammed Shapique & Dharmaraja Selvamuthu. (2022) Analysis of a Multiple M/M/1/DV Queueing System with a Dual-Threshold Policy, Vacation Interruption and a Waiting Server. Bulletin of the Iranian Mathematical Society 48:6, pages 3561-3591.
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Wojciech M. Kempa. (2022) Queue-Size Distribution in a Discrete-Time Finite-Capacity Model with a Single Vacation Mechanism. Symmetry 14:11, pages 2350.
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Dimitrios Logothetis, Athanasia Manou & Antonis Economou. (2022) The impact of reneging on a fluid on-off queue with strategic customers. Annals of Operations Research.
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Antonis Economou, Dimitrios Logothetis & Athanasia Manou. (2022) The value of reneging for strategic customers in queueing systems with server vacations/failures. European Journal of Operational Research 299:3, pages 960-976.
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Izabella V. Lokshina & Cees J. M. Lanting. (2020) Analysis of Queueing Networks in Equilibrium. International Journal of Interdisciplinary Telecommunications and Networking 12:4, pages 1-17.
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Zaiming Liu, Can Cao & Shan Gao. (2019) Equilibrium Joining Strategies in the Geo/GeoK/1 Queueing System. Mathematics 7:11, pages 1029.
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