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A spatially distributed queuing model considering dispatching policies with server reservation

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  • Iannoni, Ana Paula
  • Chiyoshi, Fernando
  • Morabito, Reinaldo

Abstract

In this paper we propose a cutoff hypercube queuing model to analyze server-to-customer emergency services operating with server reservation. We are motivated by certain SAMU’s (Système d’Aide Médicale Urgente) that give assistance to different classes of emergency requests, including specialized transfer of patients, and use the reservation strategy to improve the probability that ambulances will be available to high priority calls. The aim is to show how this cutoff priority service discipline can be handled by the cutoff hypercube queuing model to evaluate relevant system performance measures, and the main impacts of this policy to the different classes of users.

Suggested Citation

  • Iannoni, Ana Paula & Chiyoshi, Fernando & Morabito, Reinaldo, 2015. "A spatially distributed queuing model considering dispatching policies with server reservation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 49-66.
  • Handle: RePEc:eee:transe:v:75:y:2015:i:c:p:49-66
    DOI: 10.1016/j.tre.2014.12.012
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    References listed on IDEAS

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    1. Christian Schaack & Richard C. Larson, 1989. "An N Server Cutoff Priority Queue Where Arriving Customers Request a Random Number of Servers," Management Science, INFORMS, vol. 35(5), pages 614-634, May.
    2. I. D. S. Taylor & J. G. C. Templeton, 1980. "Waiting Time In a Multi-Server Cutoff-Priority Queue, and Its Application to an Urban Ambulance Service," Operations Research, INFORMS, vol. 28(5), pages 1168-1188, October.
    3. Richard C. Larson, 1975. "Approximating the Performance of Urban Emergency Service Systems," Operations Research, INFORMS, vol. 23(5), pages 845-868, October.
    4. 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.
    5. Susan Budge & Armann Ingolfsson & Erhan Erkut, 2009. "Technical Note---Approximating Vehicle Dispatch Probabilities for Emergency Service Systems with Location-Specific Service Times and Multiple Units per Location," Operations Research, INFORMS, vol. 57(1), pages 251-255, February.
    6. Geroliminis, Nikolas & Kepaptsoglou, Konstantinos & Karlaftis, Matthew G., 2011. "A hybrid hypercube - Genetic algorithm approach for deploying many emergency response mobile units in an urban network," European Journal of Operational Research, Elsevier, vol. 210(2), pages 287-300, April.
    7. William Shonick & James R. Jackson, 1973. "An Improved Stochastic Model for Occupancy-Related Random Variables in General-Acute Hospitals," Operations Research, INFORMS, vol. 21(4), pages 952-965, August.
    8. Kenneth R. Chelst & Ziv Barlach, 1981. "Multiple Unit Dispatches in Emergency Services: Models to Estimate System Performance," Management Science, INFORMS, vol. 27(12), pages 1390-1409, December.
    9. Iannoni, Ana Paula & Morabito, Reinaldo, 2007. "A multiple dispatch and partial backup hypercube queuing model to analyze emergency medical systems on highways," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 755-771, November.
    10. Richard C. Larson & Mark A. Mcknew, 1982. "Police Patrol-Initiated Activities Within a Systems Queueing Model," Management Science, INFORMS, vol. 28(7), pages 759-774, July.
    11. Noah Gans & Yong-Pin Zhou, 2003. "A Call-Routing Problem with Service-Level Constraints," Operations Research, INFORMS, vol. 51(2), pages 255-271, April.
    12. Koutras, V.P. & Platis, A.N. & Gravvanis, G.A., 2009. "Optimal server resource reservation policies for priority classes of users under cyclic non-homogeneous markov modeling," European Journal of Operational Research, Elsevier, vol. 198(2), pages 545-556, October.
    13. J. P. Jarvis, 1985. "Approximating the Equilibrium Behavior of Multi-Server Loss Systems," Management Science, INFORMS, vol. 31(2), pages 235-239, February.
    14. Iannoni, Ana Paula & Morabito, Reinaldo, 2006. "A discrete simulation analysis of a logistics supply system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(3), pages 191-210, May.
    15. F C Mendonça & R Morabito, 2001. "Analysing emergency medical service ambulance deployment on a Brazilian highway using the hypercube model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 261-270, March.
    16. Itay Gurvich & Mor Armony & Avishai Mandelbaum, 2008. "Service-Level Differentiation in Call Centers with Fully Flexible Servers," Management Science, INFORMS, vol. 54(2), pages 279-294, February.
    17. Xueping Li & Zhaoxia Zhao & Xiaoyan Zhu & Tami Wyatt, 2011. "Covering models and optimization techniques for emergency response facility location and planning: a review," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 281-310, December.
    18. Geroliminis, Nikolas & Karlaftis, Matthew G. & Skabardonis, Alexander, 2009. "A spatial queuing model for the emergency vehicle districting and location problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 798-811, August.
    19. Ana Iannoni & Reinaldo Morabito & Cem Saydam, 2008. "A hypercube queueing model embedded into a genetic algorithm for ambulance deployment on highways," Annals of Operations Research, Springer, vol. 157(1), pages 207-224, January.
    20. Linda V. Green & Sergei Savin & Ben Wang, 2006. "Managing Patient Service in a Diagnostic Medical Facility," Operations Research, INFORMS, vol. 54(1), pages 11-25, February.
    21. Diwakar Gupta & Lei Wang, 2008. "Revenue Management for a Primary-Care Clinic in the Presence of Patient Choice," Operations Research, INFORMS, vol. 56(3), pages 576-592, June.
    22. de Souza, Regiane Máximo & Morabito, Reinaldo & Chiyoshi, Fernando Y. & Iannoni, Ana Paula, 2015. "Incorporating priorities for waiting customers in the hypercube queuing model with application to an emergency medical service system in Brazil," European Journal of Operational Research, Elsevier, vol. 242(1), pages 274-285.
    23. N C Simpson & P G Hancock, 2009. "Fifty years of operational research and emergency response," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 126-139, May.
    24. Augustine O. Esogbue & Amar J. Singh, 1976. "A Stochastic Model for an Optimal Priority Bed Distribution Problem in a Hospital Ward," Operations Research, INFORMS, vol. 24(5), pages 884-898, October.
    25. Iannoni, Ana Paula & Morabito, Reinaldo & Saydam, Cem, 2009. "An optimization approach for ambulance location and the districting of the response segments on highways," European Journal of Operational Research, Elsevier, vol. 195(2), pages 528-542, June.
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    Cited by:

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    2. Liu, Han & Hua, Cheng & Lei, Chao, 2021. "Planning for time-varying volunteer firefighter systems under probabilistic service disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    3. Zhang, Sizhe & Cardin, Michel-Alexandre, 2017. "Flexibility and real options analysis in emergency medical services systems using decision rules and multi-stage stochastic programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 120-140.
    4. Iannoni, Ana P. & Morabito, Reinaldo, 2023. "A review on hypercube queuing model's extensions for practical applications," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    5. Akbar Karimi & Michel Gendreau & Vedat Verter, 2018. "Performance Approximation of Emergency Service Systems with Priorities and Partial Backups," Transportation Science, INFORMS, vol. 52(5), pages 1235-1252, October.
    6. Yoon, Soovin & Albert, Laura A., 2021. "Dynamic dispatch policies for emergency response with multiple types of vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    7. Caio Vitor Beojone & Regiane Máximo de Souza & Ana Paula Iannoni, 2021. "An Efficient Exact Hypercube Model with Fully Dedicated Servers," Transportation Science, INFORMS, vol. 55(1), pages 222-237, 1-2.

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