[1] Cheng Y S, Zhu Y J. A simplified algorithm for stochastic decomposition of queueing systems for M/G/1 non-exhaustive service vacations. Qual Technol Quant M, 2004, $\textbf{13}$(2): 8-12
[2] Cheng Y S, Zhu Y J. Analysis of the equilibrium conditions of the M/G/1 non-exhaustive service vacation queueing system. Operations Research Transactions, 2005, $\textbf{24}$(3): 83-88
[3] Choudhury G, Kalita C R. An M/G/1 queue with two types of general heterogeneous service and optional repeated service subject to server's breakdown and delayed repair. Qual Technol Quant M, 2018, $\textbf{15}$(5): 622-654
[4] Gao S, Liu Z M. An M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule. Appl Math Model, 2013, $\textbf{37}$(3): 1564-1579
[5] He L Q, Tian R L, Han Y N. Optimal joining strategies in a repairable retrial queue with reserved time and $N$-policy. Oper Res-Ger, 2014, $\textbf{24}$(1): Art 3
[6] Hu R, Tang Y H.Transient queue length distributions for M/G/1 queueing with delayed vacation and Min(${{\textit{N}}}$, ${{\textit{V}}}$)-policy controls (in Chinese). Mathematics in Practice and Theory, 2019, $\textbf{49}$(13): 145-155
[7] Jain M, Kumar A. Unreliable server ${\rm{M}}^{[{X}]}$/G/1 retrial feedback queue with balking, working vacation and vacation interruption. Proceeding of the National Academy of Sciences, India Section A: Physical Sciences, 2023, $\textbf{93}$(1): 57-73
[8] Jiang T. Analysis of a discrete-time Geo/G/1 queue in a multi-phase service environment with disasters. Journal of System Science Information, 2018, $\textbf{6}$(13): 145-155
[9] Kumar M S, Dadlani A, Kim K. Performance analysis of an unreliable M/G/1 retrial queue with two-way communication. Oper Res-Ger, 2020, $\textbf{20}$: 2267-2280
[10] Lee H W, Won J S, Se W L. Analysis of the M/G/1 queueing system under the triadic(${{\textit{N}}}$, ${{\textit{D}}}$, ${{\textit{J}}}$)-policies. Qual Technol Quant M, 2011, $\textbf{8}$(3): 333-357
[11] Levy Y, Yechiali U. Utilization of idle time in an M/G/1 queueing system. Manage Sci, 1975, $\textbf{22}$(2): 202-211
[12] Li J J, Liu L W, Jiang T. Analysis of an M/G/1 queue with vacations and multiple phases of operation. Math Method Oper Res, 2018, $\textbf{87}$(1): 51-72
[13] Li T, Zhang L Y, Gao S. An M/G/1 retrial queue with balking customers and Bernoulli working vacation interruption. Qual Technol Quant M, 2019, $\textbf{16}$(9): 511-530
[14] Lim D E, Lee D H, Yang W S, Chae K C. Analysis of the GI/Geo/1 queue with $N$-policy. Appl Math Model, 2013, $\textbf{37}$(7): 4643-4652
[15] Luo L, Tang Y H. Optimal design and optimal control strategy for the capacity of M/G/1 queueing systems with $p$-entry rules and Min(${{\textit{N}}}$, ${{\textit{D}}}$, ${{\textit{V}}}$)-policies. Acta Math Sci, 2019, $\textbf{39B}$(5): 1228-1246
[16] Ma Z Y.Steady State Theory of M/G/1 Queueing Systems with Multiple Adaptive Vacation[PhD thesis]. Qinhuangdao: Yanshan University, 2006
[17] Mao B W, Wang F W, Tian N S. Fluid model driven by an M/G/1 queue with multiple exponential vacations. Appl Math and Comput, 2011, ${\bf 218}$ (8): 4041-4048
[18] Qi J, Yu J, Jin S. Nash equilibrium and social optimization of transactions in blockchain system based on discrete-time queue. IEEE Access, 2020, $\textbf{8}$: 2314-2329
[19] Qin X P, Tang Y H.Analysis of an M/G/1 queueing system with setup time and multiple adaptive vacation under Min(${{\textit{N}}}$, ${{\textit{V}}}$)-policy control (in Chinese). Mathematics in Practice and Theory, 2021, $\textbf{51}$(17): 130-141
[20] Sun K, Wang J T. Game-theoretic analysis of the single vacation queue with negative customers. Qual Technol Quant M, 2022, ${\bf 19}$(4): 403-427
[21] Tang B L, Tang Y H. Optimal control policies for two classes of M/G/1 single vacation queueing systems with ${{\textit{N}}}$-policy. Operations Research Transactions, 2021, $\textbf{25}$(4): 15-30
[22] Tang Y H, Liu M W. Queue length distribution of M/G/1 single vacation with $N$-policy. Mathematica Applicata, 2008, $\textbf{88}$(1): 21-27
[23] Tian N S, Zhang Z G.Vacation Queueing Models: Theory and Applications. New York: Springer Science Business Medis, 2006
[24] Tuan P D. Single server retrial queues with setup time. J Ind Manag Optim, 2017, $\textbf{13}$(3): 1329-1345
[25] Wang K H, Huanh K B. A maximum entropy approach for the $\langle$ ${{\textit{p}}}$, ${{\textit{N}}}$ $\rangle$-policy M/G/1 queue with a removable and unreliable server. Appl Math Model, 2009, $\textbf{33}$(4): 2024-2034
[26] Wang Z, Liu L, Shao Y F, et al. Equilibrium joining strategy in a batch transfer queuing system with gated policy. Methodol Comput Appl, 2022, $\textbf{22}$(1): 75-99
[27] Wu J B, Yin X L. An M/G/1 retrial G-queue with non-exhaustive random vacations and an unreliable server. Comput Math Appl, 2011, $\textbf{62}$(5): 2314-2329 |