Help
Cart
Skip main navigation

Available Issues

April 16, 2013 - May 25, 2026

Available Issues

April 16, 2013 - May 25, 2026

A Model of Rational Retrials in Queues

Published Online:29 Oct 2019https://doi.org/10.1287/opre.2018.1833

References

  • Abate J, Whitt W (1988) The correlation functions of RBM and M/M/1. Stochastic Models 4(2):315–359.Crossref, Google Scholar
  • Afèche P, Mendelson H (2004) Pricing and priority auctions in queueing systems with a generalized delay cost structure. Management Sci. 50(7):869–882.Link, Google Scholar
  • Afèche P, Sarhangian V (2015) Rational abandonment from priority queues: Equilibrium strategy and pricing implications. Working paper, University of Toronto, Toronto.Google Scholar
  • Aguir S, Akşin Z, Karaesmen F, Dallery Y (2008) On the interaction between retrials and sizing of call centers. Eur. J. Oper. Res. 191(2):398–408.Crossref, Google Scholar
  • Aguir S, Karaesmen F, Akşin Z, Chauvet F (2004) The impact of retrials on call center performance. OR Spectrum 26(3):353–376.Crossref, Google Scholar
  • Aissani A (1994) A retrial queue with redundancy and unreliable server. Queueing Systems 17(3–4):431–449.Crossref, Google Scholar
  • Akşin Z, Armony M, Mehrotra V (2007) The modern call center: A multi-disciplinary perspective on operations management research. Production Oper. Management 16(6):665–688.Crossref, Google Scholar
  • Akşin Z, Ata B, Emadi S, Su C-L (2013) Structural estimation of callers’ delay sensitivity in call centers. Management Sci. 59(12):2727–2746.Link, Google Scholar
  • Armony M, Maglaras C (2004a) Contact centers with a call-back option and real-time delay information. Oper. Res. 52(4):527–545.Link, Google Scholar
  • Armony M, Maglaras C (2004b) On customer contact centers with a call-back option: Customer decisions, routing rules, and system design. Oper. Res. 52(2):271–292.Link, Google Scholar
  • Artalejo J (1995) A queueing system with returning customers and waiting line. Oper. Res. Lett. 17(4):191–199.Crossref, Google Scholar
  • Artalejo J (1997) Analysis of an M/G/1 queue with constant repeated attempts and server vacations. Computers Oper. Res. 24(6):493–504.Crossref, Google Scholar
  • Artalejo J (1999) Accessible bibliography on retrial queues. Math. Comput. Model. 30(3):1–6.Crossref, Google Scholar
  • Artalejo J (2010) Accessible bibliography on retrial queues: Progress in 2000–2009. Math. Comput. Model. 51(9):1071–1081.Crossref, Google Scholar
  • Artalejo J, Lopez-Herrero MJ (2000) On the single server retrial queue with balking. Inform. Systems Oper. Res. 38(1):33–50.Crossref, Google Scholar
  • Ata B, Shneorson S (2006) Dynamic control of an M/M/1 service system with adjustable arrival and service rates. Management Sci. 52(11):1778–1791.Link, Google Scholar
  • Cachon G, Feldman P (2011) Pricing services subject to congestion: Charge per-use fees or sell subscriptions? Manufacturing Service Oper. Management 13(2):244–260.Link, Google Scholar
  • de Véricourt F, Zhou YP (2005) Managing response time in a call-routing problem with service failure. Oper. Res. 53(6):968–981.Link, Google Scholar
  • Elcan A (1994) Optimal customer return rate for an M/M/1 queueing system with retrials. Probab. Engrg. Inform. Sci. 8(4):521–539.Crossref, Google Scholar
  • Falin G (1990) A survey of retrial queues. Queueing Systems 7(2):127–167.Crossref, Google Scholar
  • Falin G, Templeton J (1997) Retrial Queues, vol. 75 (Chapman & Hall, London).Crossref, Google Scholar
  • Gans N, Koole G, Mandelbaum A (2003) Telephone call centers: Tutorial, review, and research prospects. Manufacturing Service Oper. Management 5(2):79–141.Link, Google Scholar
  • Hassin R (2016) Rational Queueing (Chapman and Hall/CRC, Boca Raton, FL).Crossref, Google Scholar
  • Hassin R, Haviv M (1996) On optimal and equilibrium retrial rates in a queueing system. Probab. Engrg. Inform. Sci. 10(2):223–227.Crossref, Google Scholar
  • Hassin R, Haviv M (2003) To Queue or Not to Queue: Equilibrium Behaviour in Queueing Systems, vol. 59 (Kluwer Academic, Dordrecht, Netherlands).Crossref, Google Scholar
  • Hoffman K, Harris C (1986) Estimation of a caller retrial rate for a telephone information system. Eur. J. Oper. Res. 27(2):207–214.Crossref, Google Scholar
  • Kostami V, Ward A (2009) Managing service systems with an offline waiting option and customer abandonment. Manufacturing Service Oper. Management 11(4):644–656.Link, Google Scholar
  • Kulkarni V (1983a) A game theoretic model for two types of customers competing for service. Oper. Res. Lett. 2(3):119–122.Crossref, Google Scholar
  • Kulkarni V (1983b) On queueing systems with retrials. J. Appl. Probab. 20(2):380–389.Crossref, Google Scholar
  • Kulkarni V, Choi BD (1990) Retrial queues with server subject to breakdowns and repairs. Queueing Systems 7(2):191–208.Crossref, Google Scholar
  • Larsen C (1998) Investigating sensitivity and the impact of information on pricing decisions in an M/M/1 queueing model. Internat. J. Production Econom. 56(September):365–377.Crossref, Google Scholar
  • Mandelbaum A, Yechiali U (1983) Optimal entering rules for a customer with wait option at an M/G/1 queue. Management Sci. 29(2):174–187.Link, Google Scholar
  • Mandelbaum A, Massey W, Reiman M, Alexander S, Rider B (2002) Queue lengths and waiting times for multiserver queues with abandonment and retrials. Telecomm. Systems 21(2–4):149–171.Crossref, Google Scholar
  • Maskin E, Tirole J (2001) Markov perfect equilibrium: I. Observable actions. J. Econom. Theory 100(2):191–219.Crossref, Google Scholar
  • Mendelson H, Whang S (1990). Optimal incentive-compatible priority pricing for the M/M/1 queue. Oper. Res. 38(5):870–883.Link, Google Scholar
  • Miller B, Buckman AG (1987) Cost allocation and opportunity costs. Management Sci. 33(5):626–639.Link, Google Scholar
  • Morse PM (1955) Stochastic properties of waiting lines. Oper. Res. 3(3):255–261.Link, Google Scholar
  • Naor P (1969) The regulation of queue size by levying tolls. Econometrica 37(1):15–24.Crossref, Google Scholar
  • Odoni AR, Roth E (1983) An empirical investigation of the transient behavior of stationary queueing systems. Oper. Res. 31(3):432–455.Link, Google Scholar
  • Parlaktürk A, Kumar S (2004) Self-interested routing in queueing networks. Management Sci. 50(7):949–966.Link, Google Scholar
  • Plambeck E, Wang Q (2013) Implications of hyperbolic discounting for optimal pricing and scheduling of unpleasant services that generate future benefits. Management Sci. 59(8):1927–1946.Link, Google Scholar
  • Reed J, Yechiali U (2013) Queues in tandem with customer deadlines and retrials. Queueing Systems 73(1):1–34.Crossref, Google Scholar
  • Shin YW, Choo TS (2009) M/M/s queue with impatient customers and retrials. Appl. Math. Model. 33(6):2596–2606.Crossref, Google Scholar
  • Stidham S (1985) Optimal control of admission to a queueing system. IEEE Trans. Automatic Control 30(8):705–713.Crossref, Google Scholar
  • Wolff RW (1982) Poisson arrivals see time averages. Oper. Res. 30(2):223–231.Link, Google Scholar
  • Yang L, Debo LG, Gupta V (2019) Search among queues under quality differentiation. Management Sci. 65(8):3605–3623.Link, Google Scholar
  • Yang T, Templeton J (1987) A survey on retrial queues. Queueing Systems 2(3):201–233.Crossref, Google Scholar
  • Yechiali U (1971) On optimal balking rules and toll charges in the GI/M/1 queuing process. Oper. Res. 19(2):349–370.Link, Google Scholar
  • Yechiali U (1972) Customers’ optimal joining rules for the GI/M/s queue. Management Sci. 18(7):434–443.Link, Google Scholar
Previous
Back to Top
Next
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.
Agree