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Performance analysis of renewal input $(a,c,b)$ policy queue with multiple working vacations and change over times
1. | Department of Applied Mathematics, Andhra University, Visakhapatnam - 530 003, India, India |
References:
[1] |
Y. Baba, Analysis of a GI/M/1 queue with multiple working vacations,, Operations Research Letters, 33 (2005), 201.
doi: 10.1016/j.orl.2004.05.006. |
[2] |
C. Baburaj, A discrete time $(a, c, d)$ policy bulk service queue,, International Journal of Information and Management Sciences, 21 (2010), 469.
|
[3] |
C. Baburaj and T. M. Surendranath, An M/M/1 bulk service queue under the policy $(a, c, d)$,, International Journal of Agricultural and Statistical Sciences, 1 (2005), 27. Google Scholar |
[4] |
A. Banik, U. C. Gupta and S. Pathak, On the GI/M/1/N queue with multiple working vacations - Analytic analysis and computation,, Applied Mathematical Modelling, 31 (2007), 1701.
doi: 10.1016/j.apm.2006.05.010. |
[5] |
G. D. Fatta, F. Hoffmann, G. L. Re and A. Urso, A genetic algorithm for the design of a fuzzy controller for active queue management,, IEEE Transactions on Systems, 33 (2003), 313. Google Scholar |
[6] |
B. T. Doshi, Queueing systems with vacations: A survey,, Queueing Systems Theory Appl., 1 (1986), 29.
doi: 10.1007/BF01149327. |
[7] |
V. Goswami and G. B. Mund, Analysis of discrete-time batch service renewal input queue with multiple working vacations,, Computers $&$ Industrial Engineering, 61 (2011), 629.
doi: 10.1016/j.cie.2011.04.018. |
[8] |
R. L. Haupt and S. E. Haupt, Practical Genetic Algorithms,, 2nd edition, (2004).
|
[9] |
J. H. Holland, Adaptation in Natural and Artificial Systems. An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence,, The University of Michigan Press, (1975).
|
[10] |
H.-I. Huang, P.-C. Hsu and J.-C. Ke, Controlling arrival and service of a two-removable-server system using genetic algorithm,, Expert Systems with Applications, 38 (2011), 10054.
doi: 10.1016/j.eswa.2011.02.011. |
[11] |
M. Jain and P. Singh, State dependent bulk service queue with delayed vacations,, JKAU Engineering Sciences, 16 (2005), 3.
doi: 10.4197/Eng.16-1.1. |
[12] |
J.-C. Ke, C.-H. Wu and Z. G. Zhang, Recent developments in vacation queueing Models: A short survey,, International Journal of Operations Research, 7 (2010), 3. Google Scholar |
[13] |
P. V. Laxmi, V. Goswami and D. Seleshi, Renewal input (a,c,b) policy queue with multiple vacations and change over times,, International Journal of Mathematics in Operational Research, 5 (2013), 466. Google Scholar |
[14] |
H. W. Lee, D. I. Jung and S. S. Lee, Decompositions of Batch Service Queue with Server Vacations: Markovian Case,, Research Report, (1994). Google Scholar |
[15] |
J.-H. Li, N.-S. Tian and W.-Y. Liu, Discrete time GI/Geo/1 queue with multiple working vacations,, Queueing Systems, 56 (2007), 53.
doi: 10.1007/s11134-007-9030-0. |
[16] |
C.-H. Lin and J.-C. Ke, Genetic algorithm for optimal thresholds of an infinite capacity multi-server system with triadic policy,, Expert Systems with Applications, 37 (2010), 4276. Google Scholar |
[17] |
C.-H. Lin and J.-C. Ke, Optimization analysis for an infinite capacity queueing system with multiple queue-dependent servers: Genetic algorithm,, International Journal of Computer Mathematics, 88 (2011), 1430.
doi: 10.1080/00207160.2010.509791. |
[18] |
S. S. Rao, Engineering Optimization: Theory and Practice,, 4th edition, (2009). Google Scholar |
[19] |
L. D. Servi and S. G. Finn, M/M/1 queues with working vacations (M/M/1/WV),, Performance Evaluation, 50 (2002), 41. Google Scholar |
[20] |
L. Tadj and C. Abid, Optimal management policy for a single and bulk service queue,, International Journal of Advanced Operations Management, 3 (2011), 175. Google Scholar |
[21] |
L. Tadj and G. Choudhury, Optimal design and control of queues,, Top, 13 (2005), 359.
doi: 10.1007/BF02579061. |
[22] |
L. Tadj, G. Choudhury and C. Tadj, A bulk quorum queueing system with a random setup time under $N$- policy and with Bernoulli vacation schedule,, Stochastics: An International Journal of Probability and Stochastic Processes, 78 (2006), 1.
doi: 10.1080/17442500500397574. |
[23] |
H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation. Vol. 1. Vacation and Priority Systems. Part 1,, North Holland, (1991).
|
[24] |
N. Tian and Z. G. Zhang, Vacation Queueing Models: Theory and Applications,, International Series in Operations Research & Management Science, (2006).
|
show all references
References:
[1] |
Y. Baba, Analysis of a GI/M/1 queue with multiple working vacations,, Operations Research Letters, 33 (2005), 201.
doi: 10.1016/j.orl.2004.05.006. |
[2] |
C. Baburaj, A discrete time $(a, c, d)$ policy bulk service queue,, International Journal of Information and Management Sciences, 21 (2010), 469.
|
[3] |
C. Baburaj and T. M. Surendranath, An M/M/1 bulk service queue under the policy $(a, c, d)$,, International Journal of Agricultural and Statistical Sciences, 1 (2005), 27. Google Scholar |
[4] |
A. Banik, U. C. Gupta and S. Pathak, On the GI/M/1/N queue with multiple working vacations - Analytic analysis and computation,, Applied Mathematical Modelling, 31 (2007), 1701.
doi: 10.1016/j.apm.2006.05.010. |
[5] |
G. D. Fatta, F. Hoffmann, G. L. Re and A. Urso, A genetic algorithm for the design of a fuzzy controller for active queue management,, IEEE Transactions on Systems, 33 (2003), 313. Google Scholar |
[6] |
B. T. Doshi, Queueing systems with vacations: A survey,, Queueing Systems Theory Appl., 1 (1986), 29.
doi: 10.1007/BF01149327. |
[7] |
V. Goswami and G. B. Mund, Analysis of discrete-time batch service renewal input queue with multiple working vacations,, Computers $&$ Industrial Engineering, 61 (2011), 629.
doi: 10.1016/j.cie.2011.04.018. |
[8] |
R. L. Haupt and S. E. Haupt, Practical Genetic Algorithms,, 2nd edition, (2004).
|
[9] |
J. H. Holland, Adaptation in Natural and Artificial Systems. An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence,, The University of Michigan Press, (1975).
|
[10] |
H.-I. Huang, P.-C. Hsu and J.-C. Ke, Controlling arrival and service of a two-removable-server system using genetic algorithm,, Expert Systems with Applications, 38 (2011), 10054.
doi: 10.1016/j.eswa.2011.02.011. |
[11] |
M. Jain and P. Singh, State dependent bulk service queue with delayed vacations,, JKAU Engineering Sciences, 16 (2005), 3.
doi: 10.4197/Eng.16-1.1. |
[12] |
J.-C. Ke, C.-H. Wu and Z. G. Zhang, Recent developments in vacation queueing Models: A short survey,, International Journal of Operations Research, 7 (2010), 3. Google Scholar |
[13] |
P. V. Laxmi, V. Goswami and D. Seleshi, Renewal input (a,c,b) policy queue with multiple vacations and change over times,, International Journal of Mathematics in Operational Research, 5 (2013), 466. Google Scholar |
[14] |
H. W. Lee, D. I. Jung and S. S. Lee, Decompositions of Batch Service Queue with Server Vacations: Markovian Case,, Research Report, (1994). Google Scholar |
[15] |
J.-H. Li, N.-S. Tian and W.-Y. Liu, Discrete time GI/Geo/1 queue with multiple working vacations,, Queueing Systems, 56 (2007), 53.
doi: 10.1007/s11134-007-9030-0. |
[16] |
C.-H. Lin and J.-C. Ke, Genetic algorithm for optimal thresholds of an infinite capacity multi-server system with triadic policy,, Expert Systems with Applications, 37 (2010), 4276. Google Scholar |
[17] |
C.-H. Lin and J.-C. Ke, Optimization analysis for an infinite capacity queueing system with multiple queue-dependent servers: Genetic algorithm,, International Journal of Computer Mathematics, 88 (2011), 1430.
doi: 10.1080/00207160.2010.509791. |
[18] |
S. S. Rao, Engineering Optimization: Theory and Practice,, 4th edition, (2009). Google Scholar |
[19] |
L. D. Servi and S. G. Finn, M/M/1 queues with working vacations (M/M/1/WV),, Performance Evaluation, 50 (2002), 41. Google Scholar |
[20] |
L. Tadj and C. Abid, Optimal management policy for a single and bulk service queue,, International Journal of Advanced Operations Management, 3 (2011), 175. Google Scholar |
[21] |
L. Tadj and G. Choudhury, Optimal design and control of queues,, Top, 13 (2005), 359.
doi: 10.1007/BF02579061. |
[22] |
L. Tadj, G. Choudhury and C. Tadj, A bulk quorum queueing system with a random setup time under $N$- policy and with Bernoulli vacation schedule,, Stochastics: An International Journal of Probability and Stochastic Processes, 78 (2006), 1.
doi: 10.1080/17442500500397574. |
[23] |
H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation. Vol. 1. Vacation and Priority Systems. Part 1,, North Holland, (1991).
|
[24] |
N. Tian and Z. G. Zhang, Vacation Queueing Models: Theory and Applications,, International Series in Operations Research & Management Science, (2006).
|
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