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M/M/3/3 and M/M/4/4 retrial queues
A Markovian queue with two heterogeneous servers and multiple vacations
1. | Department of Statistics, College of Sciences, Yanshan University, Qinhuangdao 066004, China |
2. | Department of Intelligence and Informatics, Konan University, Kobe 658-8501 |
[1] |
Jau-Chuan Ke, Hsin-I Huang, Chuen-Horng Lin. Analysis on a queue system with heterogeneous servers and uncertain patterns. Journal of Industrial and Management Optimization, 2010, 6 (1) : 57-71. doi: 10.3934/jimo.2010.6.57 |
[2] |
Zhanyou Ma, Pengcheng Wang, Wuyi Yue. Performance analysis and optimization of a pseudo-fault Geo/Geo/1 repairable queueing system with N-policy, setup time and multiple working vacations. Journal of Industrial and Management Optimization, 2017, 13 (3) : 1467-1481. doi: 10.3934/jimo.2017002 |
[3] |
Dequan Yue, Wuyi Yue. Block-partitioning matrix solution of M/M/R/N queueing system with balking, reneging and server breakdowns. Journal of Industrial and Management Optimization, 2009, 5 (3) : 417-430. doi: 10.3934/jimo.2009.5.417 |
[4] |
Sofian De Clercq, Wouter Rogiest, Bart Steyaert, Herwig Bruneel. Stochastic decomposition in discrete-time queues with generalized vacations and applications. Journal of Industrial and Management Optimization, 2012, 8 (4) : 925-938. doi: 10.3934/jimo.2012.8.925 |
[5] |
Zhanqiang Huo, Wuyi Yue, Naishuo Tian, Shunfu Jin. Performance evaluation for the sleep mode in the IEEE 802.16e based on a queueing model with close-down time and multiple vacations. Journal of Industrial and Management Optimization, 2009, 5 (3) : 511-524. doi: 10.3934/jimo.2009.5.511 |
[6] |
Tzu-Hsin Liu, Jau-Chuan Ke, Ching-Chang Kuo. Machine interference problem involving unsuccessful switchover for a group of repairable servers with vacations. Journal of Industrial and Management Optimization, 2021, 17 (3) : 1411-1422. doi: 10.3934/jimo.2020027 |
[7] |
Siwei Yu, Jianwei Ma, Stanley Osher. Geometric mode decomposition. Inverse Problems and Imaging, 2018, 12 (4) : 831-852. doi: 10.3934/ipi.2018035 |
[8] |
Jeongsim Kim, Bara Kim. Stability of a queue with discriminatory random order service discipline and heterogeneous servers. Journal of Industrial and Management Optimization, 2017, 13 (3) : 1237-1254. doi: 10.3934/jimo.2016070 |
[9] |
Zhanyou Ma, Wenbo Wang, Linmin Hu. Performance evaluation and analysis of a discrete queue system with multiple working vacations and non-preemptive priority. Journal of Industrial and Management Optimization, 2020, 16 (3) : 1135-1148. doi: 10.3934/jimo.2018196 |
[10] |
Dequan Yue, Wuyi Yue, Zsolt Saffer, Xiaohong Chen. Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy. Journal of Industrial and Management Optimization, 2014, 10 (1) : 89-112. doi: 10.3934/jimo.2014.10.89 |
[11] |
Wai-Ki Ching, Sin-Man Choi, Min Huang. Optimal service capacity in a multiple-server queueing system: A game theory approach. Journal of Industrial and Management Optimization, 2010, 6 (1) : 73-102. doi: 10.3934/jimo.2010.6.73 |
[12] |
Zhaoyang Qiu, Yixuan Wang. Martingale solution for stochastic active liquid crystal system. Discrete and Continuous Dynamical Systems, 2021, 41 (5) : 2227-2268. doi: 10.3934/dcds.2020360 |
[13] |
Cheng-Dar Liou. Optimization analysis of the machine repair problem with multiple vacations and working breakdowns. Journal of Industrial and Management Optimization, 2015, 11 (1) : 83-104. doi: 10.3934/jimo.2015.11.83 |
[14] |
Chia-Huang Wu, Kuo-Hsiung Wang, Jau-Chuan Ke, Jyh-Bin Ke. A heuristic algorithm for the optimization of M/M/$s$ queue with multiple working vacations. Journal of Industrial and Management Optimization, 2012, 8 (1) : 1-17. doi: 10.3934/jimo.2012.8.1 |
[15] |
Caibin Zeng, Xiaofang Lin, Jianhua Huang, Qigui Yang. Pathwise solution to rough stochastic lattice dynamical system driven by fractional noise. Communications on Pure and Applied Analysis, 2020, 19 (2) : 811-834. doi: 10.3934/cpaa.2020038 |
[16] |
Wai-Ki Ching, Tang Li, Sin-Man Choi, Issic K. C. Leung. A tandem queueing system with applications to pricing strategy. Journal of Industrial and Management Optimization, 2009, 5 (1) : 103-114. doi: 10.3934/jimo.2009.5.103 |
[17] |
Tao Wu, Yu Lei, Jiao Shi, Maoguo Gong. An evolutionary multiobjective method for low-rank and sparse matrix decomposition. Big Data & Information Analytics, 2017, 2 (1) : 23-37. doi: 10.3934/bdia.2017006 |
[18] |
Giuseppe Geymonat, Françoise Krasucki. Hodge decomposition for symmetric matrix fields and the elasticity complex in Lipschitz domains. Communications on Pure and Applied Analysis, 2009, 8 (1) : 295-309. doi: 10.3934/cpaa.2009.8.295 |
[19] |
Huseyin Coskun. Nonlinear decomposition principle and fundamental matrix solutions for dynamic compartmental systems. Discrete and Continuous Dynamical Systems - B, 2019, 24 (12) : 6553-6605. doi: 10.3934/dcdsb.2019155 |
[20] |
Xianchao Xiu, Lingchen Kong. Rank-one and sparse matrix decomposition for dynamic MRI. Numerical Algebra, Control and Optimization, 2015, 5 (2) : 127-134. doi: 10.3934/naco.2015.5.127 |
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