-
Previous Article
M/M/c multiple synchronous vacation model with gated discipline
- JIMO Home
- This Issue
-
Next Article
G/M/1 type structure of a risk model with general claim sizes in a Markovian environment
Stochastic decomposition in discrete-time queues with generalized vacations and applications
1. | SMACS Research Group, Ghent University, St.-Pietersnieuwstraat 41, 9000 Gent |
References:
[1] |
S. C. Borst and O. J. Boxma, Polling models with and without switchover times, Operations Research, 45 (1997), 536-543.
doi: 10.1287/opre.45.4.536. |
[2] |
O. J. Boxma and W. P. Groenendijk, Pseudo-conservation laws in cyclic-service systems, Journal of Applied Probability, 24 (1987), 949-964.
doi: 10.2307/3214218. |
[3] |
H. Bruneel, Performance of discrete-time queueing systems, Computers Operations Research, 20 (1993), 303-320.
doi: 10.1016/0305-0548(93)90006-5. |
[4] |
R. B. Cooper, "Introduction to Queueing Theory,'' North-Holland (Elsevier), New York, 1981. |
[5] |
S. De Clercq, B. Steyaert and H. Bruneel, Analysis of a multi-class discrete-time queueing system under the slot-bound priority rule, Proceedings of the 6th St. Petersburg Workshop on Simulation, (2009), 827-832. |
[6] |
S. W. Fuhrmann and R. B. Cooper, Stochastic decompositions in the M/G/1 queue with generalized vacations, Operations Research, 33 (1985), 1117-1129.
doi: 10.1287/opre.33.5.1117. |
[7] |
S. Halfin, Batch delays versus customer delays, The Bell System Technical Journal, 62 (1983), 2011-2015. |
[8] |
L. Kleinrock, "Queueing Systems, Volume I: Theory,'' Wiley, New York, 1975. |
[9] |
K. Laevens and H. Bruneel, Analysis of a single-wavelength optical buffer, Proceedings of the 22nd Annual Joint Conference of the IEEE Computer and Communications Societies, (2003), 1-6. |
[10] |
L. Lakatos, Cyclic-waiting systems, Cybernetics and Systems Analysis, 46 (2010), 477-484.
doi: 10.1007/s10559-010-9222-1. |
[11] |
Z. Liang and S. Xiao, Performance evaluation of single-wavelength fiber delay line buffer with finite waiting places, Journal of Lightwave Technology, 26 (2008), 520-527.
doi: 10.1109/JLT.2007.915200. |
[12] |
J. Loris-Teghem, On a decomposition result for a class of vacation queueing systems, Journal of Applied Probability, 27 (1990), 227-231.
doi: 10.2307/3214611. |
[13] |
W. Rogiest, J. Lambert, D. Fiems, B. Van Houdt, H. Bruneel and C. Blondia, A unified model for synchronous and asynchronous FDL buffers allowing closed-form solution, Performance Evaluation, 66 (2009), 343-355.
doi: 10.1016/j.peva.2009.01.002. |
[14] |
W. Rogiest, K. Laevens, J. Walraevens and H. Bruneel, Analyzing a degenerate buffer with general inter-arrival and service times in discrete-time, Queueing Systems, 56 (2007), 203-212.
doi: 10.1007/s11134-007-9032-y. |
[15] |
H. Takagi, "Queueing Analysis, Volume 3: Discrete-Time Systems,'' North-Holland (Elsevier), Amsterdam, 1991. |
[16] |
H. Takagi, "Analysis of Polling Systems,'' The MIT Press, Cambridge, Massachusetts, 1986. |
[17] |
J. Walraevens, B. Steyaert and H. Bruneel, Performance analysis of the system contents in a discrete-time non-preemptive priority queue with general service times, Belgian Journal of Operations Research (JORBEL), 40 (2001), 91-103. |
show all references
References:
[1] |
S. C. Borst and O. J. Boxma, Polling models with and without switchover times, Operations Research, 45 (1997), 536-543.
doi: 10.1287/opre.45.4.536. |
[2] |
O. J. Boxma and W. P. Groenendijk, Pseudo-conservation laws in cyclic-service systems, Journal of Applied Probability, 24 (1987), 949-964.
doi: 10.2307/3214218. |
[3] |
H. Bruneel, Performance of discrete-time queueing systems, Computers Operations Research, 20 (1993), 303-320.
doi: 10.1016/0305-0548(93)90006-5. |
[4] |
R. B. Cooper, "Introduction to Queueing Theory,'' North-Holland (Elsevier), New York, 1981. |
[5] |
S. De Clercq, B. Steyaert and H. Bruneel, Analysis of a multi-class discrete-time queueing system under the slot-bound priority rule, Proceedings of the 6th St. Petersburg Workshop on Simulation, (2009), 827-832. |
[6] |
S. W. Fuhrmann and R. B. Cooper, Stochastic decompositions in the M/G/1 queue with generalized vacations, Operations Research, 33 (1985), 1117-1129.
doi: 10.1287/opre.33.5.1117. |
[7] |
S. Halfin, Batch delays versus customer delays, The Bell System Technical Journal, 62 (1983), 2011-2015. |
[8] |
L. Kleinrock, "Queueing Systems, Volume I: Theory,'' Wiley, New York, 1975. |
[9] |
K. Laevens and H. Bruneel, Analysis of a single-wavelength optical buffer, Proceedings of the 22nd Annual Joint Conference of the IEEE Computer and Communications Societies, (2003), 1-6. |
[10] |
L. Lakatos, Cyclic-waiting systems, Cybernetics and Systems Analysis, 46 (2010), 477-484.
doi: 10.1007/s10559-010-9222-1. |
[11] |
Z. Liang and S. Xiao, Performance evaluation of single-wavelength fiber delay line buffer with finite waiting places, Journal of Lightwave Technology, 26 (2008), 520-527.
doi: 10.1109/JLT.2007.915200. |
[12] |
J. Loris-Teghem, On a decomposition result for a class of vacation queueing systems, Journal of Applied Probability, 27 (1990), 227-231.
doi: 10.2307/3214611. |
[13] |
W. Rogiest, J. Lambert, D. Fiems, B. Van Houdt, H. Bruneel and C. Blondia, A unified model for synchronous and asynchronous FDL buffers allowing closed-form solution, Performance Evaluation, 66 (2009), 343-355.
doi: 10.1016/j.peva.2009.01.002. |
[14] |
W. Rogiest, K. Laevens, J. Walraevens and H. Bruneel, Analyzing a degenerate buffer with general inter-arrival and service times in discrete-time, Queueing Systems, 56 (2007), 203-212.
doi: 10.1007/s11134-007-9032-y. |
[15] |
H. Takagi, "Queueing Analysis, Volume 3: Discrete-Time Systems,'' North-Holland (Elsevier), Amsterdam, 1991. |
[16] |
H. Takagi, "Analysis of Polling Systems,'' The MIT Press, Cambridge, Massachusetts, 1986. |
[17] |
J. Walraevens, B. Steyaert and H. Bruneel, Performance analysis of the system contents in a discrete-time non-preemptive priority queue with general service times, Belgian Journal of Operations Research (JORBEL), 40 (2001), 91-103. |
[1] |
Sofian De Clercq, Koen De Turck, Bart Steyaert, Herwig Bruneel. Frame-bound priority scheduling in discrete-time queueing systems. Journal of Industrial and Management Optimization, 2011, 7 (3) : 767-788. doi: 10.3934/jimo.2011.7.767 |
[2] |
Thomas Demoor, Dieter Fiems, Joris Walraevens, Herwig Bruneel. Partially shared buffers with full or mixed priority. Journal of Industrial and Management Optimization, 2011, 7 (3) : 735-751. doi: 10.3934/jimo.2011.7.735 |
[3] |
Yoshiaki Kawase, Shoji Kasahara. Priority queueing analysis of transaction-confirmation time for Bitcoin. Journal of Industrial and Management Optimization, 2020, 16 (3) : 1077-1098. doi: 10.3934/jimo.2018193 |
[4] |
Simone Göttlich, Patrick Schindler. Optimal inflow control of production systems with finite buffers. Discrete and Continuous Dynamical Systems - B, 2015, 20 (1) : 107-127. doi: 10.3934/dcdsb.2015.20.107 |
[5] |
Zsolt Saffer, Miklós Telek, Gábor Horváth. Analysis of Markov-modulated fluid polling systems with gated discipline. Journal of Industrial and Management Optimization, 2021, 17 (2) : 575-599. doi: 10.3934/jimo.2019124 |
[6] |
P. Adda, J. L. Dimi, A. Iggidir, J. C. Kamgang, G. Sallet, J. J. Tewa. General models of host-parasite systems. Global analysis. Discrete and Continuous Dynamical Systems - B, 2007, 8 (1) : 1-17. doi: 10.3934/dcdsb.2007.8.1 |
[7] |
Gang Chen, Zaiming Liu, Jingchuan Zhang. Analysis of strategic customer behavior in fuzzy queueing systems. Journal of Industrial and Management Optimization, 2020, 16 (1) : 371-386. doi: 10.3934/jimo.2018157 |
[8] |
A. Zeblah, Y. Massim, S. Hadjeri, A. Benaissa, H. Hamdaoui. Optimization for series-parallel continuous power systems with buffers under reliability constraints using ant colony. Journal of Industrial and Management Optimization, 2006, 2 (4) : 467-479. doi: 10.3934/jimo.2006.2.467 |
[9] |
Matteo Petrera, Yuri B. Suris. Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. Ⅱ. Systems with a linear Poisson tensor. Journal of Computational Dynamics, 2019, 6 (2) : 401-408. doi: 10.3934/jcd.2019020 |
[10] |
Raina Raj, Vidyottama Jain. Optimization of traffic control in $ MMAP\mathit{[2]}/PH\mathit{[2]}/S$ priority queueing model with $ PH $ retrial times and the preemptive repeat policy. Journal of Industrial and Management Optimization, 2022 doi: 10.3934/jimo.2022044 |
[11] |
Jacques Demongeot, Dan Istrate, Hajer Khlaifi, Lucile Mégret, Carla Taramasco, René Thomas. From conservative to dissipative non-linear differential systems. An application to the cardio-respiratory regulation. Discrete and Continuous Dynamical Systems - S, 2020, 13 (8) : 2121-2134. doi: 10.3934/dcdss.2020181 |
[12] |
Denis de Carvalho Braga, Luis Fernando Mello, Carmen Rocşoreanu, Mihaela Sterpu. Lyapunov coefficients for non-symmetrically coupled identical dynamical systems. Application to coupled advertising models. Discrete and Continuous Dynamical Systems - B, 2009, 11 (3) : 785-803. doi: 10.3934/dcdsb.2009.11.785 |
[13] |
Susanna Terracini, Juncheng Wei. DCDS-A Special Volume Qualitative properties of solutions of nonlinear elliptic equations and systems. Preface. Discrete and Continuous Dynamical Systems, 2014, 34 (6) : i-ii. doi: 10.3934/dcds.2014.34.6i |
[14] |
Anna Kostianko, Sergey Zelik. Inertial manifolds for 1D reaction-diffusion-advection systems. Part Ⅰ: Dirichlet and Neumann boundary conditions. Communications on Pure and Applied Analysis, 2017, 16 (6) : 2357-2376. doi: 10.3934/cpaa.2017116 |
[15] |
Anna Kostianko, Sergey Zelik. Inertial manifolds for 1D reaction-diffusion-advection systems. Part Ⅱ: periodic boundary conditions. Communications on Pure and Applied Analysis, 2018, 17 (1) : 285-317. doi: 10.3934/cpaa.2018017 |
[16] |
Jian Zhang, Tony T. Lee, Tong Ye, Liang Huang. An approximate mean queue length formula for queueing systems with varying service rate. Journal of Industrial and Management Optimization, 2021, 17 (1) : 185-204. doi: 10.3934/jimo.2019106 |
[17] |
Fumioki Asakura, Andrea Corli. The path decomposition technique for systems of hyperbolic conservation laws. Discrete and Continuous Dynamical Systems - S, 2016, 9 (1) : 15-32. doi: 10.3934/dcdss.2016.9.15 |
[18] |
Galina Kurina, Sahlar Meherrem. Decomposition of discrete linear-quadratic optimal control problems for switching systems. Conference Publications, 2015, 2015 (special) : 764-774. doi: 10.3934/proc.2015.0764 |
[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] |
Alexandre Caboussat, Allison Leonard. Numerical solution and fast-slow decomposition of a population of weakly coupled systems. Conference Publications, 2009, 2009 (Special) : 123-132. doi: 10.3934/proc.2009.2009.123 |
2020 Impact Factor: 1.801
Tools
Metrics
Other articles
by authors
[Back to Top]