Centralized vs. decentralized ambulance diversion: A network perspective

Management Science

Volumn 57, Issue 7, 2011, Pages 1300-1319

  Deo, Sarang ^a   Gurvich, Itai ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Ambulance diversion; Emergency department; Game theory; Queueing networks

Indexed keywords

ARRIVAL RATES; EMERGENCY DEPARTMENTS; EMERGENCY MEDICAL SERVICES; LENGTH OF STAY; OPERATIONAL CHALLENGES; POTENTIAL BENEFITS; PROBLEM PARAMETERS; RESOURCE POOLING; SOCIAL OPTIMUMS; SOCIAL PLANNERS; WAITING-TIME;

EMERGENCY ROOMS; GAME THEORY; QUEUEING NETWORKS;

AMBULANCES;

EID: 79960409808     PISSN: 00251909     EISSN: 15265501     Source Type: Journal    
DOI: 10.1287/mnsc.1110.1342     Document Type: Article

References (62)

1. Adan, I., G. J. van Houtum, J. van der Wal. 1994. Upper and lower bounds for the waiting time in the symmetric shortest queue system. Ann. Oper. Res. 48(2) 197-217.
2. Akşin, O. Z., F. Karaesmen, E. L. Ormeci. 2007. A review of workforce cross-training in call centers from an operations management perspective. D. A. Nembhard, ed. Workforce Cross Training Handbook. CRC Press, Boca Raton, FL, 211-240.
3. Allon, G., A. Federgruen. 2007. Competition in service industries. Oper. Res. 55(1) 37-55. (Pubitemid 46663473)
4. Allon, G., S. Deo, W. Lin. 2009. The impact of size and occupancy of hospital on the extent of ambulance diversion: Theory and evidence. Working paper, Kellogg School of Management, Northwestern University, Evanston, IL.
5. Asamoah, O. K., S. J. Weiss, A. A. Ernst, M. Richards, D. P. Sklar. 2008. A novel diversion protocol dramatically reduces diversion hours. Amer. J. Emergency Medicine 26(6) 670-675. (Pubitemid 351910720)
6. Asmussen, S. 2003. Applied Probability and Queues. Springer Verlag, New York.
7. Atar, R. 2005. Scheduling control for queueing systems with many servers: Asymptotic optimality in heavy traffic. Ann. Appl. Probab. 15(4) 2606-2650. (Pubitemid 43106166)
8. Bagust, A., M. Place, J. W. Posnett. 1999. Dynamics of bed use in accommodating emergency admissions: Stochastic simulation model. British Medical J. 319(7203) 155-158. (Pubitemid 29326897)
9. Baron, D., E. Kalai. 1993. The simplest equilibrium of a majorityrule division game. J. Econom. Theory 61(2) 290-301.
10. Benjaafar, S. 1995. Performance bounds for the effectiveness of pooling in multi-processing systems. Eur. J. Oper. Res. 87(2) 375-388.
11. Bernstein, S. L., V. Verghese, W. Leung, A. T. Lunney, I. Perez. 2003. Development and validation of a new index to measure emergency department crowding. Emergency Medicine 10(9) 938-942. (Pubitemid 37093195)
12. Billittier, IV., A. J., R. Moscati, D. Janicke, E. B. Lerner, J. Seymour, D. Olsson. 1996. A multisite survey of factors contributing to medically unnecessary ambulance transports. Acad. Emergency Medicine 3(11) 1046-1050.
13. Cachon, G. P., P. T. Harker. 2002. Competition and outsourcing with scale economies. Management Sci. 48(10) 1314-1333. (Pubitemid 35427816)
14. Cachon, G. P., F. Zhang. 2007. Obtaining fast service in a queueing system via performance-based allocation of demand. Management Sci. 53(3) 408-420. (Pubitemid 46652841)
15. Chen, Y., C. Maglaras, G. Vulcano. 2008. Design of an aggregated marketplace under congestion effects: Asymptotic analysis and equilibrium characterization. Working paper, Stern School of Business, New York University, New York.
16. Chidester, C., W. Koenig, R. Tadeo. 2009. Personal communication with LA County EMS Agency.
17. Cochran, J. K., K. T. Roche. 2009. A multi-class queuing network analysis methodology for improving hospital emergency department performance. Comput. Oper. Res. 36(5) 1497-1512.
18. Deo, S., I. Gurvich. 2011. Proofs of auxiliary lemmas for the manuscript titled: "Centralized vs. decentralized ambulance diversion: A network perspective." Technical report, Kellogg School of Management, Northwestern University, Evanston, IL.
19. Enders, P., A. Scheller-Wolf, S. H. Cho, M. Shunko. 2010. Hospital capacity effects on inbound ambulance traffic. Working paper, Tepper School of Business, Carnegie Mellon University, Pittsburgh.
20. Epstein, S. K., L. Tian. 2006. Development of an emergency department work score to predict ambulance diversion. Acad. Emergency Medicine 13(4) 421-426.
21. Falvo, T., L. Grove, R. Stachura, W. Zirkin. 2007. The financial impact of ambulance diversions and patient elopements. Acad. Emergency Medicine 14(1) 58-62. (Pubitemid 46001750)
22. Fatovich, D. M., Y. Nagree, P. Sprivulis. 2005. Access block causes emergency department overcrowding and ambulance diversion in Perth, Western Australia. British Medical J. 22(5) 351.
23. Franaszek, J. B., B. R. Asplin, B. Brunner. 2002. Responding to emergency department crowding: A guidebook for chapters. Technical report, American College of Emergency Physicians, Irving, TX.
24. Gamarnik, D., D. A. Goldberg. 2010. On the rate of convergence to stationarity of the M/M/N queue in the Halfin-Whitt regime. Working paper, Massachusetts Institute of Technology, Cambridge.
25. Gans, N., N. Liu, A. Mandelbaum, H. Shen, H. Ye. 2010. Service times in call centers: Agent heterogeneity and learning with some operational consequences. Festschrift for Lawrence D. Brown. Vol. 6. IMS Collections, Beachwood, OH, 99-123.
26. GAO (U.S. Government Accountability Office). 2003. Hospital emergency departments: Crowded conditions vary among hospitals and communities. Report to the Ranking Minority Member Committee, on Finance, U.S. Senate, GAO, Washington, DC.
27. Green, L. V. 2002. How many hospital beds? Inquiry 39(4) 400-412. (Pubitemid 36262760)
28. Gurvich, I., W. Whitt. 2009. Scheduling flexible servers with convex delay costs in many-server service systems. Manufacturing Service Oper. Management 11(2) 237-253.
29. Hagtvedt, R., M. Ferguson, P. Griffin, G. T. Jones, P. Keskinocak. 2009. Cooperative strategies to reduce ambulance diversion. M. D. Rossetti, R. R. Hill, B. Johansson, A. Dunkin, R. G. Ingalls, eds. Proc. 2009 Winter Simulation Conf. (WSC), Austin, TX, 1861-1874.
30. Hoot, N. R., D. Aronsky. 2008. Systematic review of emergency department crowding: Causes, effects, and solutions. Ann. Emergency Medicine 52(2) 126-136.
31. Hoot, N. R., C. Zhou, I. Jones, D. Aronsky. 2007. Measuring and forecasting emergency department crowding in real time. Ann. Emergency Medicine 49(6) 747-755. (Pubitemid 46755440)
32. Kalai, E., M. I. Kamien, M. Rubinovitch. 1992. Optimal service speeds in a competitive environment. Management Sci. 38(8) 1154-1163.
33. Kowalczyk, L. 2008. State orders ERs to halt "diversions": Bid to ease overcrowding seen to sometimes delay care. Boston Globe (September 13), http://www.boston.com/news/local/articles/ 2008/09/13/state-orders-hospital-ers- to-halt-diversions.
34. Levhari, D., I. Luski. 1978. Duopoly pricing and waiting lines. Eur. Econom. Rev. 11(1) 17-35.
35. Lin, K. L. 2003. Decentralized admission control of a queueing system: A game-theoretic model. Naval Res. Logist. 50(7) 702-718.
36. Maman, S. 2009. Uncertainty in the demand for service: The case of call centers and emergency departments. MSc. thesis, Technion-Israel Institute of Technology, Technion City, Haifa.
37. MARCER (Mid-America Regional Council Emergency Rescue). 2007. Community plan for ambulance diversion for the greater Kansas City metropolitan area. Diversion Work Group of the Health Alliance of MidAmerica and MARCER Committee, Kansas City, MO.
38. McCarthy, M. L., D. Aronsky, I. D. Jones, J. R. Miner, R. A. Band, J. M. Baren, J. S. Desmond, K. M. Baumlin, R. Ding, R. Shesser. 2008. The emergency department occupancy rate: A simple measure of emergency department crowding? Ann. Emergency Medicine 51(1) 15-24.
39. Meyn, S. P., R. L. Tweedie. 1993. Stability of Markovian processes III: Foster-Lyapunov criteria for continuous-time processes. Ann. Appl. Prob. 25(3) 518-548.
40. Mihal, N., R. Moilanen. 2005. When emergency rooms close: Ambulance diversion in the West San Fernando Valley. Technical report, The Ralph and Goldy Lewis Center for Regional Policy Studies, University of California, Los Angeles. Accessed May 9, 2011, http://www.escholarship.org/uc/item/4g80h84v.
41. Moskop, J. C., D. P. Sklar, J. M. Geiderman, R. M. Schears, K. J. Bookman. 2009. Emergency department crowding, Part 1- Concept, causes, and moral consequences. Ann. Emergency Medicine 53(5) 605-611.
42. Naor, P. 1969. The regulation of queue size by levying tolls. Econometrica 37(1) 15-24.
43. NYBEMS (New York State Department of Health, Bureau of Emergency Medical Services). 2006. Emergency patient destinations and hospital diversion. NYBEMS, Albany, NY.
44. PEHSC (Pennsylvania Emergency Health Services Council). 2004. Joint position statement: Guidelines for hospital ambulancediversion policies. Medical advisory committee, PEHSC, Mechanicsburg, PA.
45. Pham, J. C., J. L. Story, R. W. Hicks, A. D. Shore, L. L. Morlock, D. S. Cheung, G. D. Kelen, P. J. Pronovost. 2008. National study on the frequency, types, causes, and consequences of voluntarily reported emergency department medication errors. J. Emergency Medicine, ePub ahead of print September 26, doi:10.1016/j.jemermed.2008.02.059.
46. Ramirez, A., J.W. Fowler, T.Wu. 2009. Analysis of ambulance diversion policies for a large-size hospital. M. D. Rossetti, R. R. Hill, B. Johansson, A. Dunkin, R. G. Ingalls, eds. Proc. 2009 Winter Simulation Conf. (WSC), Austin, TX, 1875-1886.
47. Reeder, T. J., H. G. Garrison. 2001. When the safety net is unsafe: Real-time assessment of the overcrowded emergency department. Acad. Emergency Medicine 8(11) 1070-1074. (Pubitemid 33032296)
48. Richards, J. R., S. J. Ferrall. 1999. Inappropriate use of emergency medical services transport: Comparison of provider and patient perspectives. Acad. Emergency Medicine 6(1) 14-20. (Pubitemid 29031665)
49. Schelling, T. C. 1958. The strategy of conflict: Prospectus for a reorientation of game theory. J. Conflict Resolution 2(3) 203-264.
50. Schull, M. J., P. M. Slaughter, D. A. Redelmeier. 2002. Urban emergency department overcrowding: Defining the problem and eliminating misconceptions. Canadian J. Emergency Medicine 4(2) 76-83.
51. Schull, M. J., L. J. Morrison, M. Vermeulen, D. A. Redelmeier. 2003. Emergency department gridlock and out-of-hospital delays for cardiac patients. Acad. Emergency Medicine 10(7) 709-716. (Pubitemid 36835066)
52. Schull, M. J., M. Vermuelen, G. Slaughter, L. Morrison, P. Daly. 2004. Emergency department crowding and thrombolysis delays in acute myocardial infarction. Ann. Emergency Medicine 44(6) 577-585. (Pubitemid 39573174)
53. Stolyar, A. L. 2005. Optimal routing in output-queued flexible server systems. Probab. Engrg. Inform. Sci. 19(2) 141-189. (Pubitemid 40560661)
54. Sun, B. C., S. A. Mohanty, R. Weiss, R. Tadeo, M. Hasbrouck, W. Koenig, C. Meyer, S. Asch. 2006. Effects of hospital closures and hospital characteristics on emergency department ambulance diversion, Los Angeles County, 1998 to 2004. Ann. Emergency Medicine 47(4) 309-316.
55. Tezcan, T. 2008. Optimal control of distributed parallel server systems under the Halfin and Whitt regime. Math. Oper. Res. 33(1) 51-90.
56. Vassilocopoulos, G. 1985. A simulation model for bed allocation to hospital inpatient departments. Simulation 45(5) 233-241.
57. Vilkes, G. M., E. M. Castillo, M. A. Metz, L. U. Ray, P. A. Murrin, R. Lev, T. C. Chan. 2004. Community trial to decrease ambulance diversion hours: The San Diego County patient destination trial. Ann. Emergency Medicine 44(4) 295-303. (Pubitemid 39237624)
58. Vives, X. 2001. Oligopoly Pricing: Old Ideas and New Tools. MIT Press, Cambridge, MA.
59. Weiss, S. J., R. Derlet, J. Arndahl, A. A. Ernst, J. Richards, M. Fernandez-Frankelton, R. Schwab, T. O. Stair, P. Vicellio, D. Levy, et al. 2004. Estimating the degree of emergency department overcrowding in academic medical centers: Results of the National ED Overcrowding Study (NEDOCS). Acad. Emergency Medicine 11(1) 38-50. (Pubitemid 38055785)
60. Whitt, W. 1986. Deciding which queue to join: Some counterexamples. Oper. Res. 34(1) 55-62. (Pubitemid 16571956)
61. Whitt, W. 1991. A review of L = λW and extensions. Queueing Systems 9 235-268.
62. Yom-Tov, G. 2009. Queues in hospitals: Queueing networks with Reentering customers in the QED regime. Ph.D. thesis, Technion-Israel Institute of Technology, Technion City, Haifa.