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Endogenous arrivals in batch queues with constant or variable capacity

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  • Rapoport, Amnon
  • Stein, William E.
  • Mak, Vincent
  • Zwick, Rami
  • Seale, Darryl A.

Abstract

We study batch queueing systems with continuous time, finite commuter populations, single server, and endogenously determined arrival times. Symmetric equilibrium solutions in mixed strategies are constructed and subsequently tested in two experiments that examine two different batch queueing models, one with a fixed server capacity, and the other with a variable server capacity. With experience in playing the stage queueing game repeatedly, experimental results from groups of 20 subjects support equilibrium play on the aggregate level when the server capacity is fixed and commonly known. When it is known to be variable, randomly changing from round to round, subjects diverge from equilibrium play and increase their individual payoffs substantially by significantly shortening their waiting time.

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Bibliographic Info

Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 44 (2010)
Issue (Month): 10 (December)
Pages: 1166-1185

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Handle: RePEc:eee:transb:v:44:y:2010:i:10:p:1166-1185

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Related research

Keywords: Batch queueing Game theory Constant and variable capacity Experiments;

References

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  1. A. de Palma & R. Lindsey, 2000. "Optimal Timetables for Public Transportation," THEMA Working Papers 2000-09, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  2. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
  3. William E. Stein & Amnon Rapoport & Darryl A. Seale & Hongtao Zhang & Rami Zwick, 2004. "Batch Queues with Choice of Arrivals: Equilibrium Analysis and Experimental Study," Experimental 0411001, EconWPA.
  4. Darryl Seale & James Parco & William Stein & Amnon Rapoport, 2005. "Joining a Queue or Staying Out: Effects of Information Structure and Service Time on Arrival and Staying Out Decisions," Experimental Economics, Springer, vol. 8(2), pages 117-144, June.
  5. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  6. Kene Boun My & Laurent Denant-Boèmont & Frédéric Koessler & Marc Willinger & Anthony Ziegelmeyer, 2006. "Road Traffic Congestion and Public Information: An Experimental Investigation," Papers on Strategic Interaction 2006-20, Max Planck Institute of Economics, Strategic Interaction Group.
  7. Holt, Charles A, Jr & Sherman, Roger, 1982. "Waiting-Line Auctions," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 280-94, April.
  8. Marvin Kraus, 2002. "A New Look at the Two-Mode Problem," Boston College Working Papers in Economics 551, Boston College Department of Economics.
  9. Rapoport, Amnon & Stein, William E. & Parco, James E. & Seale, Darryl A., 2004. "Equilibrium play in single-server queues with endogenously determined arrival times," Journal of Economic Behavior & Organization, Elsevier, vol. 55(1), pages 67-91, September.
  10. Terry E. Daniel & Eyran J. Gisches & Amnon Rapoport, 2009. "Departure Times in Y-Shaped Traffic Networks with Multiple Bottlenecks," American Economic Review, American Economic Association, vol. 99(5), pages 2149-76, December.
  11. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-79, March.
  12. Tian, Qiong & Huang, Hai-Jun & Yang, Hai, 2007. "Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 616-631, July.
  13. Kraus, Marvin & Yoshida, Yuichiro, 2002. "The Commuter's Time-of-Use Decision and Optimal Pricing and Service in Urban Mass Transit," Journal of Urban Economics, Elsevier, vol. 51(1), pages 170-195, January.
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