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Stochastic Decompositions in the M / G /1 Queue with Generalized Vacations

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Cited by:

  1. Chakravarthy, Srinivas R. & Shruti, & Kulshrestha, Rakhee, 2020. "A queueing model with server breakdowns, repairs, vacations, and backup server," Operations Research Perspectives, Elsevier, vol. 7(C).
  2. D. Arivudainambi & P. Godhandaraman, 2015. "Retrial queueing system with balking, optional service and vacation," Annals of Operations Research, Springer, vol. 229(1), pages 67-84, June.
  3. Zsolt Saffer & Sergey Andreev & Yevgeni Koucheryavy, 2016. "$$M/D^{[y]}/1$$ M / D [ y ] / 1 Periodically gated vacation model and its application to IEEE 802.16 network," Annals of Operations Research, Springer, vol. 239(2), pages 497-520, April.
  4. Tsuyoshi Katayama & Kaori Kobayashi, 2007. "Sojourn time analysis of a queueing system with two‐phase service and server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 59-65, February.
  5. Dimitris Bertsimas & José Niño-Mora, 1996. "Optimization of multiclass queueing networks with changeover times via the achievable region method: Part II, the multi-station case," Economics Working Papers 314, Department of Economics and Business, Universitat Pompeu Fabra, revised Aug 1998.
  6. Tava Lennon Olsen, 1999. "A Practical Scheduling Method for Multiclass Production Systems with Setups," Management Science, INFORMS, vol. 45(1), pages 116-130, January.
  7. Tsuyoshi Katayama, 2001. "Waiting time analysis for a queueing system with time‐limited service and exponential timer," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 638-651, October.
  8. Asmussen, Søren & Klüppelberg, Claudia & Sigman, Karl, 1999. "Sampling at subexponential times, with queueing applications," Stochastic Processes and their Applications, Elsevier, vol. 79(2), pages 265-286, February.
  9. Izak Duenyas & Diwakar Gupta & Tava Lennon Olsen, 1998. "Control of a Single-Server Tandem Queueing System with Setups," Operations Research, INFORMS, vol. 46(2), pages 218-230, April.
  10. Tian, Naishuo & Zhang, Zhe George, 2006. "A two threshold vacation policy in multiserver queueing systems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 153-163, January.
  11. Gupta, Diwakar & Gunalay, Yavuz & Srinivasan, Mandyam M., 2001. "The relationship between preventive maintenance and manufacturing system performance," European Journal of Operational Research, Elsevier, vol. 132(1), pages 146-162, July.
  12. Shweta Upadhyaya, 2020. "Investigating a general service retrial queue with damaging and licensed units: an application in local area networks," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 716-745, September.
  13. Robert B. Cooper & Shun-Chen Niu & Mandyam M. Srinivasan, 1998. "When Does Forced Idle Time Improve Performance in Polling Models?," Management Science, INFORMS, vol. 44(8), pages 1079-1086, August.
  14. I. Atencia & P. Moreno, 2006. "A Discrete-Time Geo/ G/1 retrial queue with the server subject to starting failures," Annals of Operations Research, Springer, vol. 141(1), pages 85-107, January.
  15. P. H. Brill & C. M. Harris, 1992. "Waiting times for M/G/1 queues with service‐time or delay‐dependent server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 775-787, October.
  16. B. Krishna Kumar & S. Pavai Madheswari & S. Anantha Lakshmi, 2011. "Queuing system with state-dependent controlled batch arrivals and server under maintenance," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(2), pages 351-379, December.
  17. Sem Borst & Onno Boxma, 2018. "Polling: past, present, and perspective," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(3), pages 335-369, October.
  18. Dimitris Bertsimas & José Niño-Mora, 1999. "Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Approach: Part I, The Single-Station Case," Mathematics of Operations Research, INFORMS, vol. 24(2), pages 306-330, May.
  19. Awi Federgruen & Ziv Katalan, 1998. "Determining Production Schedules Under Base-Stock Policies in Single Facility Multi-Item Production Systems," Operations Research, INFORMS, vol. 46(6), pages 883-898, December.
  20. Priyanka Kalita & Gautam Choudhury & Dharmaraja Selvamuthu, 2020. "Analysis of Single Server Queue with Modified Vacation Policy," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 511-553, June.
  21. George C. Mytalas & Michael A. Zazanis, 2022. "Service with a queue and a random capacity cart: random processing batches and E-limited policies," Annals of Operations Research, Springer, vol. 317(1), pages 147-178, October.
  22. M. Boon, 2012. "A polling model with reneging at polling instants," Annals of Operations Research, Springer, vol. 198(1), pages 5-23, September.
  23. Onno Boxma & Michel Mandjes, 2021. "Shot-noise queueing models," Queueing Systems: Theory and Applications, Springer, vol. 99(1), pages 121-159, October.
  24. Jau-Chuan Ke, 2006. "An M/G/1 queue under hysteretic vacation policy with an early startup and un-reliable server," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(2), pages 357-369, May.
  25. Mauricio Varas & Franco Basso & Armin Lüer-Villagra & Alejandro Mac Cawley & Sergio Maturana, 2019. "Managing premium wines using an $$(s - 1,s)$$ ( s - 1 , s ) inventory policy: a heuristic solution approach," Annals of Operations Research, Springer, vol. 280(1), pages 351-376, September.
  26. Dimitris Bertsimas & José Niño-Mora, 1999. "Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Approach: Part II, The Multi-Station Case," Mathematics of Operations Research, INFORMS, vol. 24(2), pages 331-361, May.
  27. Atencia, I., 2017. "A Geo/G/1 retrial queueing system with priority services," European Journal of Operational Research, Elsevier, vol. 256(1), pages 178-186.
  28. B. Kumar & D. Arivudainambi & A. Krishnamoorthy, 2006. "Some results on a generalized M/G/1 feedback queue with negative customers," Annals of Operations Research, Springer, vol. 143(1), pages 277-296, March.
  29. Madhu Jain & Sandeep Kaur & Parminder Singh, 2021. "Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)," Operational Research, Springer, vol. 21(4), pages 2203-2246, December.
  30. L Tadj, 2003. "On an M/G/1 quorum queueing system under T-policy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 466-471, May.
  31. Offer Kella, 1989. "The threshold policy in the M/G/1 queue with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 111-123, February.
  32. Ivan Atencia & José Luis Galán-García, 2021. "Sojourn Times in a Queueing System with Breakdowns and General Retrial Times," Mathematics, MDPI, vol. 9(22), pages 1-25, November.
  33. Offer Kella & Uri Yechiali, 1988. "Priorities in M/G/1 queue with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 23-34, February.
  34. Hideaki Takagi & Tetsuya Takine & Onno J. Boxma, 1992. "Distribution of the workload in multiclass queueing systems with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 41-52, February.
  35. Zhang, Zhe G. & Tian, Naishuo, 2004. "An analysis of queueing systems with multi-task servers," European Journal of Operational Research, Elsevier, vol. 156(2), pages 375-389, July.
  36. Onno Boxma & Dieter Claeys & Lennart Gulikers & Offer Kella, 2015. "A queueing system with vacations after N services," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(8), pages 646-658, December.
  37. J. George Shanthikumar, 1989. "Level crossing analysis of priority queues and a conservation identity for vacation models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 797-806, December.
  38. Park, Hyun-Min & Kim, Tae-Sung & Chae, Kyung C., 2010. "Analysis of a two-phase queueing system with a fixed-size batch policy," European Journal of Operational Research, Elsevier, vol. 206(1), pages 118-122, October.
  39. B. Krishna Kumar & R. Rukmani & A. Thanikachalam & V. Kanakasabapathi, 2018. "Performance analysis of retrial queue with server subject to two types of breakdowns and repairs," Operational Research, Springer, vol. 18(2), pages 521-559, July.
  40. Tuan Phung-Duc, 2017. "Exact solutions for M/M/c/Setup queues," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 64(2), pages 309-324, February.
  41. Ioannis Dimitriou, 2016. "Queueing analysis of the DRX power saving mechanism in fault-tolerant 3GPP LTE wireless networks," Annals of Operations Research, Springer, vol. 239(2), pages 521-552, April.
  42. Yi Peng & Jinbiao Wu, 2020. "A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations," Mathematics, MDPI, vol. 8(8), pages 1-12, July.
  43. A. Gómez‐Corral, 1999. "Stochastic analysis of a single server retrial queue with general retrial times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 561-581, August.
  44. Seok Ho Chang & Dae Won Choi, 2006. "Modeling and Performance Analysis of a Finite-Buffer Queue with Batch Arrivals, Batch Services, and Setup Times: The M X /G Y /1/K + B Queue with Setup Times," INFORMS Journal on Computing, INFORMS, vol. 18(2), pages 218-228, May.
  45. Rhonda Righter & J. George Shanthikumar, 1998. "Multiclass Production Systems with Setup Times," Operations Research, INFORMS, vol. 46(3-supplem), pages 146-153, June.
  46. Dimitris Bertsimas & José Niño-Mora, 1996. "Optimization of multiclass queueing networks with changeover times via the achievable region approach: Part I, the single-station case," Economics Working Papers 302, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 1998.
  47. Sox, Charles R. & Jackson, Peter L. & Bowman, Alan & Muckstadt, John A., 1999. "A review of the stochastic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 62(3), pages 181-200, September.
  48. Wei-Min Lan & Tava Lennon Olsen, 2006. "Multiproduct Systems with Both Setup Times and Costs: Fluid Bounds and Schedules," Operations Research, INFORMS, vol. 54(3), pages 505-522, June.
  49. Wang, Pu Patrick, 1996. "Queueing models with delayed state-dependent service times," European Journal of Operational Research, Elsevier, vol. 88(3), pages 614-621, February.
  50. Jianjun Li & Liwei Liu & Tao Jiang, 2018. "Analysis of an M/G/1 queue with vacations and multiple phases of operation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(1), pages 51-72, February.
  51. Wu-Lin Chen, 2019. "Computing the Moments of Polling Models with Batch Poisson Arrivals by Transform Inversion," INFORMS Journal on Computing, INFORMS, vol. 31(3), pages 515-526, July.
  52. Kim, Tae-Sung & Park, Hyun-Min, 2003. "Cycle analysis of a two-phase queueing model with threshold," European Journal of Operational Research, Elsevier, vol. 144(1), pages 157-165, January.
  53. Renbin Liu & Attahiru Sule Alfa & Miaomiao Yu, 2019. "Analysis of an ND-policy Geo/G/1 queue and its application to wireless sensor networks," Operational Research, Springer, vol. 19(2), pages 449-477, June.
  54. Ioannis Dimitriou, 2013. "A preemptive resume priority retrial queue with state dependent arrivals, unreliable server and negative customers," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 542-571, October.
  55. Wartenhorst, Pieter, 1995. "N parallel queueing systems with server breakdown and repair," European Journal of Operational Research, Elsevier, vol. 82(2), pages 302-322, April.
  56. I. Atencia & G. Bouza & P. Moreno, 2008. "An M [X] /G/1 retrial queue with server breakdowns and constant rate of repeated attempts," Annals of Operations Research, Springer, vol. 157(1), pages 225-243, January.
  57. P. Rajadurai & V. M. Chandrasekaran & M. C. Saravanarajan, 2016. "Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule," OPSEARCH, Springer;Operational Research Society of India, vol. 53(1), pages 197-223, March.
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