232
Views
7
CrossRef citations to date
0
Altmetric
A special section of papers relating to finance

Equilibrium joining strategies in the single server queues with negative customers

&
Pages 1169-1191 | Received 18 Dec 2017, Accepted 08 Jun 2018, Published online: 18 Jul 2018

References

  • J.R. Artalejo, G-networks: A versatile approach for work removal in queueing networks, Eur. J. Oper. Res. 126(2) (2000), pp. 233–249. doi: 10.1016/S0377-2217(99)00476-2
  • J.R. Artalejo and A. Gomez-Corral, On a single server queue with negative arrivals and request repeated, J. Appl. Probab. 36(3) (1999), pp. 907–918. doi: 10.1239/jap/1032374643
  • O. Boudali and A. Economou, Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes, Eur. J. Oper. Res. 218(3) (2012), pp. 708–715. doi: 10.1016/j.ejor.2011.11.043
  • O. Boudali and A. Economou, The effect of catastrophes on the strategic customer behavior in queueing systems, Naval. Res. Logist. 60(7) (2013), pp. 571–587. doi: 10.1002/nav.21553
  • A. Burnetas and A. Economou, Equilibrium customer strategies in a single server Markovian queue with setup times, Queueing Syst. 56(3–4) (2007), pp. 213–228. doi: 10.1007/s11134-007-9036-7
  • K.C. Chae, H.M. Park, and W.S. Yang, A GI/Geo/1 queue with negative and positive customers, Appl. Math. Model. 34(6) (2010), pp. 1662–1671. doi: 10.1016/j.apm.2009.09.015
  • X. Chao, A queueing network model with catastrophes and product form solution, Oper. Res. Lett. 18(2) (1995), pp.75–79. doi: 10.1016/0167-6377(95)00029-0
  • X. Chao and M. Pinedo, On generalized networks of queues with positive and negative arrivals, Probab. Engrg. Inform. Sci. 7(3) (1993), pp. 301–334. doi: 10.1017/S0269964800002941
  • X. Chao, M. Pinedo, and M. Miyazawa, Queueing Networks: Customers, Signals, and Product form Solutions, Wiley, New York, 1999.
  • T.V. Do, An initiative for a classified bibliography on G-networks, Perform. Eval. 68(4) (2011), pp. 385–394. doi: 10.1016/j.peva.2010.10.001
  • A. Economou and S. Kanta, Equilibrium balking strategies in the observable single-server queue with breakdowns and repairs, Oper. Res. Lett. 36(6) (2008), pp. 696–699. doi: 10.1016/j.orl.2008.06.006
  • A. Economou and S. Kanta, Equilibrium customer strategies and social-profit maximization in the single-server constant retrial queue, Naval. Res. Logist. 58(2) (2011), pp. 107–122. doi: 10.1002/nav.20444
  • N.M. Edelson and D.K. Hilderbrand, Congestion tolls for poisson queuing processes, Econometrica 43 (1975), pp.81–92. doi: 10.2307/1913415
  • J.M. Fourneau, E. Gelenbe, and R. Suros, G-networks with multiple classes of negative and positive customers, Theoret. Comput. Sci. 155(1) (1996), pp. 141–156. doi: 10.1016/0304-3975(95)00018-6
  • E. Gelenbe, Random neural networks with negative and positive signals and product form solution, Neural Comput. 1(4) (1989), pp. 502–510. doi: 10.1162/neco.1989.1.4.502
  • E. Gelenbe, Product-form queueing networks with negative and positive customers, J. Appl. Probab. 28(3) (1991), pp. 656–663. doi: 10.2307/3214499
  • E. Gelenbe, G-networks: A unifying model for neural and queueing networks, Ann. Oper. Res. 48(5) (1994), pp.433–461. doi: 10.1007/BF02033314
  • E. Gelenbe, P. Glynn, and K. Sigman, Queues with negative arrivals, J. Appl. Probab. 28(1) (1991), pp. 245–250. doi: 10.2307/3214756
  • P. Guo and P. Zipkin, Analysis and comparison of queues with different levels of delay information, Manag. Sci. 53(6) (2007), pp. 962–970. doi: 10.1287/mnsc.1060.0686
  • P.G. Harrison and E. Pitel, The M/G/1 queue with negative customers, Adv. Appl. Probab. 28(2) (1996), pp. 540–566. doi: 10.2307/1428071
  • R. Hassin, Rational Queueing, CRC Press, Boca Raton, 2016.
  • R. Hassin and M. Haviv, To Queue or not to Queue: Equilibrium Behavior in Queueing Systems, Kluwer Academic Publishers, Boston, 2003.
  • W. Henderson, Queueing networks by negative customers and negative queue lengths, J. Appl. Probab. 30(4) (1993), pp. 931–942. doi: 10.2307/3214523
  • D.H. Lee, Optimal pricing strategies and customers equilibrium behavior in an unobservable M/M/1 queueing system with negative customers and repair, Qual. Tech. Quant. Manag. 2017(2017), pp. 1–22.
  • D.H. Lee, Equilibrium balking strategies in Markovian queues with a single working vacation and vacation interruption, Qual. Tech. Quant. Manag. 4(2018), pp. 1–22. doi: 10.1080/16843703.2018.1429805
  • P. Naor, The regulation of queue size by levying tolls, Econometrica 37 (11969), pp. 15–24. doi: 10.2307/1909200
  • W. Sun, S. Li, and E. Cheng-Guo, Equilibrium and optimal balking strategies of customers in Markovian queues with multiple vacations and N-policy, Appl. Math. Model. 40(1) (2016), pp. 284–301. doi: 10.1016/j.apm.2015.04.045
  • K.V. Vijayashree and B. Janani, Stationary and transient analysis of M/M/1/N queue subject to disasters and subsequent repair, Int. J. Oper. Res. 29(4) (2017), pp. 433–459. doi: 10.1504/IJOR.2017.085093
  • J. Wang, B. Liu, and J. Li, Transient analysis of an M/G/1 retrial queue subject to disasters and server failures, Eur. J. Oper. Res. 189(3) (2008), pp. 1118–1132. doi: 10.1016/j.ejor.2007.04.054
  • F. Wang, J. Wang, and F. Zhang, Strategic behavior in the single-server constant retrial queue with individual removal, Qual. Tech. Quant. Manag. 12(3) (2015), pp. 325–342. doi: 10.1080/16843703.2015.11673384
  • J. Wang and P. Zhang, A single-server discrete-time retrial G-queue with server breakdowns and repairs, Acta. Math. Appl. Sin. 25(4) (2009), pp. 675–684. doi: 10.1007/s10255-008-8823-1
  • J. Wang and P. Zhang, A discrete-time retrial queue with negative customers and unreliable server, Comput. Ind. Eng. 56(4) (2009), pp. 1216–1222. doi: 10.1016/j.cie.2008.07.010
  • Y. Zhang, J. Wang, and F. Wang, Equilibrium pricing strategies in retrial queueing systems with complementary services, Appl. Math. Model. 40(11–12) (2016), pp. 5775–5792. doi: 10.1016/j.apm.2016.01.029

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.