[
[1] E. Altman, U. Yechiali, Analysis of customers’ impatience in queues with server vacation, Queueing Syst, 52 (4) (2006), 261–279.10.1007/s11134-006-6134-x
]Search in Google Scholar
[
[2] A. A. Bouchentouf, A. Guendouzi, Sensitivity analysis of multiple vacation feedback queueing system with differentiated vacations, vacation interruptions and impatient customers, International Journal of Applied Mathematics and Statistics, 57 (6) (2018), 104–121.
]Search in Google Scholar
[
[3] A. A. Bouchentouf, A. Guendouzi, Cost optimization analysis for an MX/M/c vacation queueing system with waiting servers and impatient customers, SeMA Journal, 76 (2) (2019), 309–341.10.1007/s40324-018-0180-2
]Search in Google Scholar
[
[4] A. A. Bouchentouf, A. Guendouzi, The MX/M/c Bernoulli feedback queue with variant multiple working vacations and impatient customers: Performance and economic analysis, Arab. J. Math., 9 (2020), 309–327.10.1007/s40065-019-0260-x
]Search in Google Scholar
[
[5] A. A. Bouchentouf, A. Guendouzi, A. Kandouci, Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers, Acta Universitatis Sapientiae, Mathematica, 10 (2) (2018), 218–241.10.2478/ausm-2018-0018
]Search in Google Scholar
[
[6] A. A. Bouchentouf, A. Guendouzi, A. Kandouci, Performance and economic study of heterogeneous M/M/2/N feedback queue with working vacation and impatient customers, ProbStat Forum, 12 (1) (2019), 15–35.
]Search in Google Scholar
[
[7] A. A. Bouchentouf, A. Guendouzi, S. Majid, On impatience in Markovian M/M/1/N/DWV queue with vacation interruption, Croatian Operational Research Review, 11 (1) (2020) 21–37.10.17535/crorr.2020.0003
]Search in Google Scholar
[
[8] A. A. Bouchentouf, L. Yahiaoui, On feedback queueing system with reneging and retention of reneged customers, multiple working vacations and Bernoulli schedule vacation interruption, Arab. J. Math., 6 (1) (2017), 1–11.10.1007/s40065-016-0161-1
]Search in Google Scholar
[
[9] B. T. Doshi, Queueing systems with vacation-a survey, Queueing Syst., 1 (1) (1986), 29–66.10.1007/BF01149327
]Search in Google Scholar
[
[10] S. Gao, Z. Liu, An M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule, Applied Mathematical Modelling, 37 (3) (2013), 1564–1579.10.1016/j.apm.2012.04.045
]Search in Google Scholar
[
[11] M. Jain, G. C. Sharma, R. Sharma, Working vacation queue with service interruption and multi-optional repair, Intentional Journal of Information and Management Science, 22 (2011), 157–175.
]Search in Google Scholar
[
[12] J. Keilson, L. D. Servi, A distribution form of Little’s law, Operations Research Letters, 7 (5) (1988), 223–227.10.1016/0167-6377(88)90035-1
]Search in Google Scholar
[
[13] J. Li, N. Tian, The M/M/1 queue with working vacations and vacation interruptions, Journal of Systems Science and Systems Engineering, 16 (1) (2007), 121–127.10.1007/s11518-006-5030-6
]Search in Google Scholar
[
[14] J. Li, N. Tian, The discrete-time GI/Geo/1 queue with working vacations and vacation interruption, Applied Mathematics and Computation, 185 (1) (2007), 1–10.10.1016/j.amc.2006.07.008
]Search in Google Scholar
[
[15] J. H. Li, N. S. Tian, Z. Y. Ma, Performance analysis of GI/M/1 queue with working vacations, Operations Research Letters, 35 (5) (2007), 595–600.10.1016/j.orl.2006.12.007
]Search in Google Scholar
[
[16] J. Li, N. Tian, Z. Ma, Performance analysis of GI/M/1 queue with working vacations and vacation interruption, Applied Mathematical Modelling, 32 (12) (2008), 2715–2730.10.1016/j.apm.2007.09.017
]Search in Google Scholar
[
[17] K. C. Madan, M. Al-Rawwash, On the MX/G/1 queue with feedback and optional server vacations based on a single vacation policy, Applied Mathematics and Computation, 160 (3) (2005), 909–919.10.1016/j.amc.2003.11.037
]Search in Google Scholar
[
[18] S. Majid, P. Manoharan, Analysis of a M/M/c queue with single and multiple synchronous working vacations, Applications and Applied Mathematics, 12 (2) (2017), 671–694.
]Search in Google Scholar
[
[19] S. Majid, P. Manoharan, Impatient customers in an M/M/c queue with Single and Multiple Synchronous Working Vacations, Pakistan journal statistics and operation research, XIV (3) (2018), 571–594.10.18187/pjsor.v14i3.1866
]Search in Google Scholar
[
[20] S. Majid, P. Manoharan, Analysis of an M/M/1 Queue with Working Vacation and Vacation Interruption, Applications and Applied Mathematics, 14 (1) (2019), 19–33.
]Search in Google Scholar
[
[21] R. Padmavathy, K. Kalidass, K. Ramanath, Vacation queues with impatient customers and a waiting server, Int. J. Latest Trends Softw. Eng., 1 (1) (2011), 10–19.
]Search in Google Scholar
[
[22] P. Rajadurai, M. C. Saravanarajan, V. M. Chandrasekaran, A study on M/G/1 feedback retrial queue with subject to server breakdown and repair under multiple working vacation policy, Alexandria Engineering Journal, 57 (2) (2018), 947–962.10.1016/j.aej.2017.01.002
]Search in Google Scholar
[
[23] N. Selvaraju, C. Goswami, Impatient customers in an M/M/1 queue with single and multiple working vacations, Computers and Industrial Engineering, 65 (2) (2013), 207–215.10.1016/j.cie.2013.02.016
]Search in Google Scholar
[
[24] L. D. Servi, S. G. Finn, M/M/1 queues with working vacations (M/M/1/WV), Performance Evaluation, 50 (1) (2002), 41–52.10.1016/S0166-5316(02)00057-3
]Search in Google Scholar
[
[25] W. Sun, S. Li, Q. Li: Equilibrium balking strategies of customers in Markovian queues with two-stage working vacations, Applied Mathematics and Computation, 248 (2014), 195–214.10.1016/j.amc.2014.09.116
]Search in Google Scholar
[
[26] H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation, Volume 1: Vacation and Priority System, Elsevier, Amsterdam (1991).
]Search in Google Scholar
[
[27] N. Tian, Z. G. Zhang, Vacation Queueing Models-Theory and Applications, Springer-Verlag, New York (2006).10.1007/978-0-387-33723-4
]Search in Google Scholar
[
[28] D. A. Wu, H. Takagi, An M/G/1 queues with multiple working vacations and exhaustive service discipline, Performance Evaluation, 63 (7) (2006), 654–681.10.1016/j.peva.2005.05.005
]Search in Google Scholar
[
[29] M. Yu, A. S. Alfa, Strategic queueing behavior for individual and social optimization in managing discrete time working vacation queue with Bernoulli interruption schedule, Computers &Operations Research, 73 (C) (2016), 43–55.10.1016/j.cor.2016.03.011
]Search in Google Scholar
[
[30] D. Yue, W. Yue, G. Zhao, Analysis of an M/M/1 queue with vacations and impatience timers which depends on the server’s states, Journal of Industrial & Management Optimization, 12 (2) (2016), 653–666.10.3934/jimo.2016.12.653
]Search in Google Scholar
[
[31] Zhang, M., Hou, Z.: Performance analysis of M/G/1 queue with working vacations and vacation interruption, Journal of Computational and Applied Mathematics, 234 (10) (2010), 2977–2985.10.1016/j.cam.2010.04.010
]Search in Google Scholar