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Markovian queueing model with single working vacation, breakdown with backup server. (English) Zbl 07917906

Kamalov, Firuz (ed.) et al., Advances in mathematical modeling and scientific computing. International conference on recent developments in mathematics, Dubai, United Arab Emirates, August 24–26, 2022. Volume 2. Cham: Birkhäuser. Trends Math., 725-734 (2024).

MSC: 60K25 60K30 90B22

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Meena, S.; Ayyappan, G.

Analysis of \(\mathrm{MMAP/PH}(1)\), \(\mathrm{PH}(2)/1\) preemptive priority queueing model with single vacation, repair and impatient customers. (English) Zbl 07907439

Appl. Appl. Math. 19, No. 1, Paper No. 2, 27 p. (2024).

MSC: 35Q99 35G20

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Mohammed Shapique, A.; Sudhesh, R.; Dharmaraja, S.

Transient analysis of a modified differentiated vacation queueing system for energy-saving in WiMAX. (English) Zbl 07898496

Methodol. Comput. Appl. Probab. 26, No. 3, Paper No. 23, 33 p. (2024).

MSC: 90B22

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Ezzourgui, Zahia; Saggou, Hafida; Ourbih-Tari, Megdouda; Bourennane, El Bay

The Markovian Bernoulli queues with operational server vacation, Bernoulli’s weak and strong disasters, and linear impatient customers. (English) Zbl 07894537

Commun. Math. 31, No. 1, 273-291 (2023).

MSC: 68M20 05D40 05A15

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Azhagappan, Arumugam; Deepa, Thirunavukkarasu

Transient behavior of a single-server Markovian queue with balking and working vacation interruptions. (English) Zbl 1488.60212

J. Oper. Res. Soc. China 9, No. 2, 321-341 (2021).

MSC: 60K25 90B22 68M20

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Li, Zikun; Xu, Xiuli; Yue, Dequan

Analysis of the fluid model driven by \(M/M/c\) queue with single working vacation. (Chinese. English summary) Zbl 1474.60214

Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 1, 254-268 (2021).

MSC: 60K25 90B22

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He, Gang; Wu, Wenqing; Zhang, Yuanyuan

Performance analysis of machine repair system with single working vacation. (English) Zbl 07529876

Commun. Stat., Theory Methods 48, No. 22, 5602-5620 (2019).

MSC: 62-XX

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Zhou, Zonghao; Zhou, Zhenchuan; Zhu, Yijun; Shi, Zhiyan; Bao, Zhihui

Analysis of the single working vacation and vacation interruption G-queue with setup times. (English) Zbl 1438.90086

Chin. J. Eng. Math. 36, No. 3, 344-358 (2019).

MSC: 90B22 60K25 60J80

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Kasim, Ehmet; Gupur, Geni

Functional analysis method for the \(M/G/1\) queueing model with single working vacation. (English) Zbl 1495.47127

Open Math. 16, 767-791 (2018).

MSC: 47N30 47D03 47A10 60K25

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Banik, A. D.; Ghosh, Souvik; Basu, Debasis

Computational analysis of a single server queue with batch Markovian arrival and exponential single working vacation. (English) Zbl 1402.90036

Kar, Samarjit (ed.) et al., Operations research and optimization. FOTA 2016, Kolkata, India, November 24–26, 2016. Singapore: Springer (ISBN 978-981-10-7813-2/hbk; 978-981-10-7814-9/ebook). Springer Proceedings in Mathematics & Statistics 225, 61-73 (2018).

MSC: 90B22

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Kasim, Ehmet; Gupur, Geni

Dynamic analysis of the \(M/G/1\) queueing model with single working vacation. (English) Zbl 1397.90117

Int. J. Appl. Comput. Math. 3, No. 4, 2803-2833 (2017).

MSC: 90B22 60K25

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Sudhesh, R.; Azhagappan, A.; Dharmaraja, S.

Transient analysis of \(\mathrm{M}/\mathrm{M}/1\) queue with working vacation, heterogeneous service and customers’ impatience. (English) Zbl 1382.60120

RAIRO, Oper. Res. 51, No. 3, 591-606 (2017).

MSC: 60K25

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Kasim, Ehmet; Gupur, Geni

Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption. (English) Zbl 1394.47073

Afr. Mat. 28, No. 7-8, 1327-1348 (2017).

MSC: 47N10 47D06 90B22

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Luo, Chuanyi; Li, Wei; Yu, Kaizhi; Ding, Chuan

The matrix-form solution for \(Geo^{X}/G/1/N\) working vacation queue and its application to state-dependent cost control. (English) Zbl 1349.90226

Comput. Oper. Res. 67, 63-74 (2016).

MSC: 90B22 60K25

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Vijaya Laxmi, P.; Jyothsna, K.; Seleshi, D.

Analysis of a discrete-time working vacation queue with balking. (English) Zbl 1332.90082

Opsearch 52, No. 3, 562-581 (2015).

MSC: 90B22

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Laxmi, P. Vijaya; Goswami, V.; Seleshi, D.

Optimization of renewal input \((a, c, b)\) policy working vacation queue with change over time and Bernoulli schedule vacation interruption. (English) Zbl 1369.60062

TWMS J. Appl. Eng. Math. 4, No. 2, 131-146 (2014).

MSC: 60K25 90B22 68M20

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Guha, Dibyajyoti; Banik, A. D.

On the renewal input batch-arrival queue under single and multiple working vacation policy with application to EPON. (English) Zbl 07683720

INFOR 51, No. 4, 175-191 (2013).

MSC: 90-XX

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Zhang, Mian; Hou, Zhenting

\(\mathrm{M}/\mathrm{G}/1\) queue with single working vacation. (English) Zbl 1296.60255

J. Appl. Math. Comput. 39, No. 1-2, 221-234 (2012).

MSC: 60K25 90B22

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Xu, Xiuli; Wang, Wei

The discrete-time \(GI/Geom/1\) queue with single working vacation and setup times. (Chinese. English summary) Zbl 1249.90053

J. Northwest Norm. Univ., Nat. Sci. 47, No. 4, 15-20, 24 (2011).

MSC: 90B22 60K25 65K05

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Lu, Guoyun; Xu, Xiuli; Wang, Jili; Liu, Chunping

An \(M/G/1\) queue with single working vacation and vacation interruption. (Chinese. English summary) Zbl 1240.90108

J. Zhengzhou Univ., Nat. Sci. Ed. 43, No. 3, 6-10 (2011).

MSC: 90B22 60K25

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Jia, Lijun; Liu, Chunping; Xu, Xiuli; Liu, Lei

Analysis of a Geo\(^X\)/Geo/1 queue with single working vacations and vacation interruptions. (Chinese. English summary) Zbl 1240.90105

J. Zhengzhou Univ., Nat. Sci. Ed. 43, No. 3, 1-5 (2011).

MSC: 90B22 60K25

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Laxmi, P. Vijaya; Yesuf, Obsie Mussa

Renewal input infinite buffer batch service queue with single exponential working vacation and accessibility to batches. (English) Zbl 1209.90115

Int. J. Math. Oper. Res. 3, No. 2, 219-243 (2011).

MSC: 90B22 60K25

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Xu, Xiuli; Lu, Guoyun; Li, Pei; Cao, Xueyun

Stationary analysis of the discrete time queue based on the single working vacation. (Chinese. English summary) Zbl 1240.60255

J. Syst. Sci. Math. Sci. 30, No. 12, 1613-1621 (2010).

MSC: 60K25 90B22

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Xiu, Chun; Tian, Naishuo; Liu, Yazhen

The M/M/1 queue with single working vacation serving at a slower rate during the start-up period. (English) Zbl 1194.90034

J. Math. Res. 2, No. 1, 98-102 (2010).

MSC: 90B22

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Banik, A. D.

Analysis of single working vacation in GI\(/M/1/N\) and GI\(/M/1/\infty \) queueing systems. (English) Zbl 1185.90039

Int. J. Oper. Res. 7, No. 3, 314-333 (2010).

MSC: 90B22

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Fan, Jianwu; Zhao, Xiaohua; Tian, Naishuo; Yun, Xiaoqing

The \(M/M/1/N\) queuing system with negative customers and a single working vacation. (Chinese. English summary) Zbl 1212.90096

J. Shandong Univ., Nat. Sci. 44, No. 8, 68-73 (2009).

MSC: 90B22 60K25

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Xu, Xiu-Li; Zhang, Zhong-Jun; Tian, Nai-Shuo

Analysis for the \(M^{[X]}/M/1\) working vacation queue. (English) Zbl 1184.90052

Int. J. Inf. Manage. Sci. 20, No. 3, 379-394 (2009).

MSC: 90B22

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Found 27 Documents (Results 1–27)

Markovian queueing model with single working vacation, breakdown with backup server. (English) Zbl 07917906

Analysis of \(\mathrm{MMAP/PH}(1)\), \(\mathrm{PH}(2)/1\) preemptive priority queueing model with single vacation, repair and impatient customers. (English) Zbl 07907439

Transient analysis of a modified differentiated vacation queueing system for energy-saving in WiMAX. (English) Zbl 07898496

The Markovian Bernoulli queues with operational server vacation, Bernoulli’s weak and strong disasters, and linear impatient customers. (English) Zbl 07894537

Transient behavior of a single-server Markovian queue with balking and working vacation interruptions. (English) Zbl 1488.60212

Analysis of the fluid model driven by \(M/M/c\) queue with single working vacation. (Chinese. English summary) Zbl 1474.60214

Performance analysis of machine repair system with single working vacation. (English) Zbl 07529876

Analysis of the single working vacation and vacation interruption G-queue with setup times. (English) Zbl 1438.90086

Functional analysis method for the \(M/G/1\) queueing model with single working vacation. (English) Zbl 1495.47127

Computational analysis of a single server queue with batch Markovian arrival and exponential single working vacation. (English) Zbl 1402.90036

Dynamic analysis of the \(M/G/1\) queueing model with single working vacation. (English) Zbl 1397.90117

Transient analysis of \(\mathrm{M}/\mathrm{M}/1\) queue with working vacation, heterogeneous service and customers’ impatience. (English) Zbl 1382.60120

Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption. (English) Zbl 1394.47073

The matrix-form solution for \(Geo^{X}/G/1/N\) working vacation queue and its application to state-dependent cost control. (English) Zbl 1349.90226

Analysis of a discrete-time working vacation queue with balking. (English) Zbl 1332.90082

Optimization of renewal input \((a, c, b)\) policy working vacation queue with change over time and Bernoulli schedule vacation interruption. (English) Zbl 1369.60062

On the renewal input batch-arrival queue under single and multiple working vacation policy with application to EPON. (English) Zbl 07683720

\(\mathrm{M}/\mathrm{G}/1\) queue with single working vacation. (English) Zbl 1296.60255

The discrete-time \(GI/Geom/1\) queue with single working vacation and setup times. (Chinese. English summary) Zbl 1249.90053

An \(M/G/1\) queue with single working vacation and vacation interruption. (Chinese. English summary) Zbl 1240.90108

Analysis of a Geo\(^X\)/Geo/1 queue with single working vacations and vacation interruptions. (Chinese. English summary) Zbl 1240.90105

Renewal input infinite buffer batch service queue with single exponential working vacation and accessibility to batches. (English) Zbl 1209.90115

Stationary analysis of the discrete time queue based on the single working vacation. (Chinese. English summary) Zbl 1240.60255

The M/M/1 queue with single working vacation serving at a slower rate during the start-up period. (English) Zbl 1194.90034

Analysis of single working vacation in GI\(/M/1/N\) and GI\(/M/1/\infty \) queueing systems. (English) Zbl 1185.90039

The \(M/M/1/N\) queuing system with negative customers and a single working vacation. (Chinese. English summary) Zbl 1212.90096

Analysis for the \(M^{[X]}/M/1\) working vacation queue. (English) Zbl 1184.90052

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