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Ant colony optimization for optimum service times in a Bernoulli schedule vacation interruption queue with balking and reneging
1. | Department of Applied Mathematics, Andhra University, Visakhapatnam - 530 003, India, India, India |
References:
[1] |
M. O. Abou-El-Ata and A. I. Shawky, The single-server Markovian overflow queue with balking, reneging and an additional server for longer queues,, Microelectronics and Reliability, 32 (1992), 1389.
doi: 10.1016/0026-2714(92)90008-9. |
[2] |
R. O. Al-Seedy, A. A. El-Sherbiny, S. A. El-Shehawy and S. I. Ammar, Transient solution of the M/M/c queue with balking and reneging,, Computer and Mathematics with Applications, 57 (2009), 1280.
doi: 10.1016/j.camwa.2009.01.017. |
[3] |
S. I. Ammar, A. A. El-Sherbiny, S. A. El-Shehawy and R. O. Al-Seedy, A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging,, International Journal of Computer Mathematics, 89 (2012), 482.
doi: 10.1080/00207160.2011.637553. |
[4] |
C. J. Ancker Jr. and A. V. Gafarian, Some queueing problems with balking and reneging: I,, Operations Research, 11 (1963), 88.
doi: 10.1287/opre.11.1.88. |
[5] |
C. J. Ancker Jr. and A. V. Gafarian, Some queueing problems with balking and reneging: II,, Operations Research, 11 (1963), 928.
doi: 10.1287/opre.11.6.928. |
[6] |
A. D. Banik, U. C. Gupta and S. S. Pathak, On the GI/M/1/N queue with multiple working vacations-analytical analysis and computation,, Applied Mathematical Modelling, 31 (2007), 1701. Google Scholar |
[7] |
A. Colorni, M. Dorigo and V. Maniezzo, Distributed optimization by ant colonies,, in Proceedings of ECAL'91 European Conference on Artificial Life, (1991), 134. Google Scholar |
[8] |
M. Dorigo, V. Maniezzo and A. Colorni, The ant system: Optimization by a colony of cooperating agents,, IEEE Transactions on Systems, 26 (1996), 29.
doi: 10.1109/3477.484436. |
[9] |
V. Goswami, Study of customers' impatience in a GI/M/1/N queue with working vacations,, International Journal of Management Science and Engineering Management, (2015). Google Scholar |
[10] |
F. A. Haight, Queueing with balking,, Biometrika, 44 (1957), 360.
doi: 10.1093/biomet/44.3-4.360. |
[11] |
F. A. Haight, Queueing with reneging,, Metrika, 2 (1959), 186.
doi: 10.1007/BF02613734. |
[12] |
J. Li and N. Tian, The M/M/1 queue with working vacations and vacation interruption,, Journal of Systems Science and Systems Engineering, 16 (2007), 121.
doi: 10.1007/s11518-006-5030-6. |
[13] |
J. Li, N. Tian and Z. Ma, Performance analysis of GI/M/1 queue with working vacations and vacation interruption,, Applied Mathematical Modelling, 32 (2008), 2715.
doi: 10.1016/j.apm.2007.09.017. |
[14] |
J. Li, Z. Wang and Z. Liu, The GI/M/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption,, Applied Mathematical Modelling, 37 (2013), 3724.
doi: 10.1016/j.apm.2012.07.045. |
[15] |
L. D. Servi and S. G. Finn, M/M/1 queues with working vacations (M/M/1/WV),, Performance Evaluation, 50 (2002), 41.
doi: 10.1016/S0166-5316(02)00057-3. |
[16] |
P. Vijaya Laxmi, V. Goswami and K. Jyothsna, Optimization of balking and reneging queue with vacation interruption under $N$-Policy,, Journal of Optimization, 2013 (2013).
doi: 10.1155/2013/683708. |
[17] |
P. Vijaya Laxmi and K. Jyothsna, Impatient customer queue with Bernoulli schedule vacation interruption,, Computers & Operations Research, 56 (2015), 1.
doi: 10.1016/j.cor.2014.08.018. |
[18] |
D. Yue, W. Yue and G. Xu, Analysis of customers' impatience in an M/M/1 queue with working vacations,, Journal of Industrial and Management Optimization, 8 (2012), 895.
doi: 10.3934/jimo.2012.8.895. |
[19] |
H. Zhang and D. Shi, The M/M/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption,, International Journal of Information and Management Sciences, 20 (2009), 579.
|
show all references
References:
[1] |
M. O. Abou-El-Ata and A. I. Shawky, The single-server Markovian overflow queue with balking, reneging and an additional server for longer queues,, Microelectronics and Reliability, 32 (1992), 1389.
doi: 10.1016/0026-2714(92)90008-9. |
[2] |
R. O. Al-Seedy, A. A. El-Sherbiny, S. A. El-Shehawy and S. I. Ammar, Transient solution of the M/M/c queue with balking and reneging,, Computer and Mathematics with Applications, 57 (2009), 1280.
doi: 10.1016/j.camwa.2009.01.017. |
[3] |
S. I. Ammar, A. A. El-Sherbiny, S. A. El-Shehawy and R. O. Al-Seedy, A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging,, International Journal of Computer Mathematics, 89 (2012), 482.
doi: 10.1080/00207160.2011.637553. |
[4] |
C. J. Ancker Jr. and A. V. Gafarian, Some queueing problems with balking and reneging: I,, Operations Research, 11 (1963), 88.
doi: 10.1287/opre.11.1.88. |
[5] |
C. J. Ancker Jr. and A. V. Gafarian, Some queueing problems with balking and reneging: II,, Operations Research, 11 (1963), 928.
doi: 10.1287/opre.11.6.928. |
[6] |
A. D. Banik, U. C. Gupta and S. S. Pathak, On the GI/M/1/N queue with multiple working vacations-analytical analysis and computation,, Applied Mathematical Modelling, 31 (2007), 1701. Google Scholar |
[7] |
A. Colorni, M. Dorigo and V. Maniezzo, Distributed optimization by ant colonies,, in Proceedings of ECAL'91 European Conference on Artificial Life, (1991), 134. Google Scholar |
[8] |
M. Dorigo, V. Maniezzo and A. Colorni, The ant system: Optimization by a colony of cooperating agents,, IEEE Transactions on Systems, 26 (1996), 29.
doi: 10.1109/3477.484436. |
[9] |
V. Goswami, Study of customers' impatience in a GI/M/1/N queue with working vacations,, International Journal of Management Science and Engineering Management, (2015). Google Scholar |
[10] |
F. A. Haight, Queueing with balking,, Biometrika, 44 (1957), 360.
doi: 10.1093/biomet/44.3-4.360. |
[11] |
F. A. Haight, Queueing with reneging,, Metrika, 2 (1959), 186.
doi: 10.1007/BF02613734. |
[12] |
J. Li and N. Tian, The M/M/1 queue with working vacations and vacation interruption,, Journal of Systems Science and Systems Engineering, 16 (2007), 121.
doi: 10.1007/s11518-006-5030-6. |
[13] |
J. Li, N. Tian and Z. Ma, Performance analysis of GI/M/1 queue with working vacations and vacation interruption,, Applied Mathematical Modelling, 32 (2008), 2715.
doi: 10.1016/j.apm.2007.09.017. |
[14] |
J. Li, Z. Wang and Z. Liu, The GI/M/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption,, Applied Mathematical Modelling, 37 (2013), 3724.
doi: 10.1016/j.apm.2012.07.045. |
[15] |
L. D. Servi and S. G. Finn, M/M/1 queues with working vacations (M/M/1/WV),, Performance Evaluation, 50 (2002), 41.
doi: 10.1016/S0166-5316(02)00057-3. |
[16] |
P. Vijaya Laxmi, V. Goswami and K. Jyothsna, Optimization of balking and reneging queue with vacation interruption under $N$-Policy,, Journal of Optimization, 2013 (2013).
doi: 10.1155/2013/683708. |
[17] |
P. Vijaya Laxmi and K. Jyothsna, Impatient customer queue with Bernoulli schedule vacation interruption,, Computers & Operations Research, 56 (2015), 1.
doi: 10.1016/j.cor.2014.08.018. |
[18] |
D. Yue, W. Yue and G. Xu, Analysis of customers' impatience in an M/M/1 queue with working vacations,, Journal of Industrial and Management Optimization, 8 (2012), 895.
doi: 10.3934/jimo.2012.8.895. |
[19] |
H. Zhang and D. Shi, The M/M/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption,, International Journal of Information and Management Sciences, 20 (2009), 579.
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