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Integrating expected coverage and local reliability for emergency medical services location problems

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  • Sorensen, Paul
  • Church, Richard
Abstract
Daskin's MEXCLP model [Daskin M. A maximum expected covering location model: formulation, properties, and heuristic solution. Transportation Science 1983;17:48-70] was one of the first efforts to capture the stochastic nature of emergency medical services (EMS) location problems within a mixed-integer formulation. With their subsequent introduction of MALP, ReVelle and Hogan [The maximum availability location problem. Transportation Science 1989;23:192-200] offered two key advances, local vehicle busyness estimates and the [alpha]-reliability objective. While these constructs have influenced many subsequent EMS location models, they have been subjected to relatively little empirical analysis. To address this, we introduce the LR-MEXCLP, a hybrid model combining the local busyness estimates of MALP with the maximum coverage objective of MEXCLP. We then solve a series of problems with all three models and employ simulation to estimate aggregate service levels. We find that LR-MEXCLP leads to modest but consistent service gains over both MALP and MEXCLP. These results support the merits of local busyness estimates, but they also suggest that the [alpha]-reliability objective may be inappropriate when seeking to maximize aggregate system response capabilities. More generally, our research underscores the utility of (a) linking modeling assumptions and goals with real-world application contexts, and (b) employing simulation or other techniques to validate theoretical results.

Suggested Citation

  • Sorensen, Paul & Church, Richard, 2010. "Integrating expected coverage and local reliability for emergency medical services location problems," Socio-Economic Planning Sciences, Elsevier, vol. 44(1), pages 8-18, March.
    • Handle: RePEc:eee:soceps:v:44:y:2010:i:1:p:8-18
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    References listed on IDEAS

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    1. Mark S. Daskin, 1983. "A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution," Transportation Science, INFORMS, vol. 17(1), pages 48-70, February.
    2. Marianov, Vladimir & ReVelle, Charles, 1996. "The Queueing Maximal availability location problem: A model for the siting of emergency vehicles," European Journal of Operational Research, Elsevier, vol. 93(1), pages 110-120, August.
    3. Charnes, A. & Storbeck, J., 1980. "A goal programming model for the siting of multilevel EMS systems," Socio-Economic Planning Sciences, Elsevier, vol. 14(4), pages 155-161.
    4. M S Daskin & K Hogan & C ReVelle, 1988. "Integration of Multiple, Excess, Backup, and Expected Covering Models," Environment and Planning B, , vol. 15(1), pages 15-35, March.
    5. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    6. ReVelle, Charles & Marianov, Vladimir, 1991. "A probabilistic FLEET model with individual vehicle reliability requirements," European Journal of Operational Research, Elsevier, vol. 53(1), pages 93-105, July.
    7. Rajan Batta & June M. Dolan & Nirup N. Krishnamurthy, 1989. "The Maximal Expected Covering Location Problem: Revisited," Transportation Science, INFORMS, vol. 23(4), pages 277-287, November.
    8. Goldberg, Jeffrey & Dietrich, Robert & Chen, Jen Ming & Mitwasi, Mousa & Valenzuela, Terry & Criss, Elizabeth, 1990. "A simulation model for evaluating a set of emergency vehicle base locations: Development, validation, and usage," Socio-Economic Planning Sciences, Elsevier, vol. 24(2), pages 125-141.
    9. Warren Walker, 1974. "Using the Set-Covering Problem to Assign Fire Companies to Fire Houses," Operations Research, INFORMS, vol. 22(2), pages 275-277, April.
    10. Marsh, Michael T. & Schilling, David A., 1994. "Equity measurement in facility location analysis: A review and framework," European Journal of Operational Research, Elsevier, vol. 74(1), pages 1-17, April.
    11. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    12. Gunawardane, Gamini, 1982. "Dynamic versions of set covering type public facility location problems," European Journal of Operational Research, Elsevier, vol. 10(2), pages 190-195, June.
    13. Fujiwara, Okitsugu & Makjamroen, Thanet & Gupta, Kapil Kumar, 1987. "Ambulance deployment analysis: A case study of Bangkok," European Journal of Operational Research, Elsevier, vol. 31(1), pages 9-18, July.
    14. J R Current & J E Storbeck, 1988. "Capacitated Covering Models," Environment and Planning B, , vol. 15(2), pages 153-163, June.
    15. Ralph W. Swain, 1974. "A Parametric Decomposition Approach for the Solution of Uncapacitated Location Problems," Management Science, INFORMS, vol. 21(2), pages 189-198, October.
    16. Storbeck, James E., 1982. "Slack, natural slack, and location covering," Socio-Economic Planning Sciences, Elsevier, vol. 16(3), pages 99-105.
    17. Richard C. Larson, 1975. "Approximating the Performance of Urban Emergency Service Systems," Operations Research, INFORMS, vol. 23(5), pages 845-868, October.
    18. Brotcorne, Luce & Laporte, Gilbert & Semet, Frederic, 2003. "Ambulance location and relocation models," European Journal of Operational Research, Elsevier, vol. 147(3), pages 451-463, June.
    19. Schilling, David A. & Revelle, Charles & Cohon, Jared & Elzinga, D. Jack, 1980. "Some models for fire protection locational decisions," European Journal of Operational Research, Elsevier, vol. 5(1), pages 1-7, July.
    20. Jeffrey Goldberg & Luis Paz, 1991. "Locating Emergency Vehicle Bases When Service Time Depends on Call Location," Transportation Science, INFORMS, vol. 25(4), pages 264-280, November.
    21. Donald R. Plane & Thomas E. Hendrick, 1977. "Mathematical Programming and the Location of Fire Companies for the Denver Fire Department," Operations Research, INFORMS, vol. 25(4), pages 563-578, August.
    22. Kathleen Hogan & Charles ReVelle, 1986. "Concepts and Applications of Backup Coverage," Management Science, INFORMS, vol. 32(11), pages 1434-1444, November.
    23. Fernando Borrás & Jesús Pastor, 2002. "The Ex-Post Evaluation of the Minimum Local Reliability Level: An Enhanced Probabilistic Location Set Covering Model," Annals of Operations Research, Springer, vol. 111(1), pages 51-74, March.
    24. Marianov, Vladimir & Revelle, Charles, 1994. "The queuing probabilistic location set covering problem and some extensions," Socio-Economic Planning Sciences, Elsevier, vol. 28(3), pages 167-178.
    25. Rajan Batta & Narasimha R. Mannur, 1990. "Covering-Location Models for Emergency Situations That Require Multiple Response Units," Management Science, INFORMS, vol. 36(1), pages 16-23, January.
    26. Richard L. Church & Kenneth L. Roberts, 1983. "Generalized Coverage Models And Public Facility Location," Papers in Regional Science, Wiley Blackwell, vol. 53(1), pages 117-135, January.
    27. Davis, Samuel G, 1981. "Analysis of the deployment of emergency medical services," Omega, Elsevier, vol. 9(6), pages 655-657.
    28. Fitzsimmons, James A. & Sullivan, Robert S., 1979. "Establishing the level of service for public emergency ambulance systems," Socio-Economic Planning Sciences, Elsevier, vol. 13(5), pages 235-239.
    29. Goldberg, Jeffrey & Dietrich, Robert & Ming Chen, Jen & Mitwasi, M. George & Valenzuela, Terry & Criss, Elizabeth, 1990. "Validating and applying a model for locating emergency medical vehicles in Tuczon, AZ," European Journal of Operational Research, Elsevier, vol. 49(3), pages 308-324, December.
    30. Repede, John F. & Bernardo, John J., 1994. "Developing and validating a decision support system for locating emergency medical vehicles in Louisville, Kentucky," European Journal of Operational Research, Elsevier, vol. 75(3), pages 567-581, June.
    31. J. P. Jarvis, 1985. "Approximating the Equilibrium Behavior of Multi-Server Loss Systems," Management Science, INFORMS, vol. 31(2), pages 235-239, February.
    32. David Schilling & D. Jack Elzinga & Jared Cohon & Richard Church & Charles ReVelle, 1979. "The Team/Fleet Models for Simultaneous Facility and Equipment Siting," Transportation Science, INFORMS, vol. 13(2), pages 163-175, May.
    33. Charles ReVelle & Kathleen Hogan, 1989. "The Maximum Availability Location Problem," Transportation Science, INFORMS, vol. 23(3), pages 192-200, August.
    34. C ReVelle & K Hogan, 1988. "A Reliability-Constrained Siting Model with Local Estimates of Busy Fractions," Environment and Planning B, , vol. 15(2), pages 143-152, June.
    35. Saydam, Cem & Aytug, Haldun, 2003. "Accurate estimation of expected coverage: revisited," Socio-Economic Planning Sciences, Elsevier, vol. 37(1), pages 69-80, March.
    36. Linda V. Green & Peter J. Kolesar, 2004. "ANNIVERSARY ARTICLE: Improving Emergency Responsiveness with Management Science," Management Science, INFORMS, vol. 50(8), pages 1001-1014, August.
    37. Michael O. Ball & Feng L. Lin, 1993. "A Reliability Model Applied to Emergency Service Vehicle Location," Operations Research, INFORMS, vol. 41(1), pages 18-36, February.
    38. Bennett, Vivienne L. & Eaton, David J. & Church, Richard L., 1982. "Selecting sites for rural health workers," Social Science & Medicine, Elsevier, vol. 16(1), pages 63-72, January.
    39. James A. Fitzsimmons, 1973. "A Methodology for Emergency Ambulance Deployment," Management Science, INFORMS, vol. 19(6), pages 627-636, February.
    40. Bianchi, Geoffrey & Church, Richard L., 1988. "A hybrid fleet model for emergency medical service system design," Social Science & Medicine, Elsevier, vol. 26(1), pages 163-171, January.
    41. Jeffrey Goldberg & Ferenc Szidarovszky, 1991. "Methods for Solving Nonlinear Equations Used in Evaluating Emergency Vehicle Busy Probabilities," Operations Research, INFORMS, vol. 39(6), pages 903-916, December.
    42. ReVelle, Charles, 1989. "Review, extension and prediction in emergency service siting models," European Journal of Operational Research, Elsevier, vol. 40(1), pages 58-69, May.
    43. Vladimir Marianov & Daniel Serra, 2002. "Location–Allocation of Multiple-Server Service Centers with Constrained Queues or Waiting Times," Annals of Operations Research, Springer, vol. 111(1), pages 35-50, March.
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    3. Soo-Haeng Cho & Hoon Jang & Taesik Lee & John Turner, 2014. "Simultaneous Location of Trauma Centers and Helicopters for Emergency Medical Service Planning," Operations Research, INFORMS, vol. 62(4), pages 751-771, August.
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