Minimal cost service rate in priority queuing models for emergency cases in hospitals

  • Authors

    • Nse S. Udoh University of Uyo, Nigeria
    • Idorenyin A. Etukudo Akwa Ibom State University
    2018-08-10
    https://doi.org/10.14419/ijasp.v6i2.12332
  • Priority Queuing Models, Preemptive Model, No Preemptive Model. Waiting Time Cost, Optimum Cost Service Rate, Emergency Case.

  • Performance measures and waiting time cost for higher priority patients with severe cases over lower priority patients with stable cases using preemptive priority queuing model were obtained. Also, a total expected waiting time cost per unit time for service and the expected service cost per unit time for priority queuing models: M/M/2: ∞/NPP and M/M/2: ∞/PP were respectively formulated and optimized to obtain optimum cost service rate that minimizes the total cost. The results were applied to obtain optimum service rate that minimizes the total cost of providing and waiting for service at the emergency consulting unit of hospital.

     

     

     

     

  • References

    1. [1] Bedford, A and Zeephongsekul, P. On a Dual Queuing System with Preemptive Priority Service Discipline. European Journal of Operational Research, 2003.

      [2] Blake, J. T. and Carter, M. W. An Analysis of Emergency Room Waiting Time Issues via Computer simulation. Information System and Operational Research (INFORM) 34(4):263-273, 1996. https://doi.org/10.1080/03155986.1996.11732308.

      [3] Hagen, M. S., Jopling, J. K., Buchmen, T. G and Lee, E. K. Priority Queuing Models for Hospital Intensive Care Units and Impact to Severe Case Patients. AMIA Annual Symposium Proceedings; 841-850, 2013.

      [4] Hillier, S., Frederick and Lieberman, J. Gerald. Introduction to Operations Research. Sixth edition McGraw-Hill, Inc. Singapore, 1995.

      [5] Ke, P., Li, Y. X. and Ni, F. Multiple Services Scheduling with Priority-Queuing Model. IJCIT.org or ijcit.uap-bd.edu (Online) 3(1), 2012.

      [6] Li et al. A Priority-Queuing Model for Heterogeneous Traffic Scheduling in Inter-Vehicular Communication. Information Technology Journal 12: 419-423, 2013. https://doi.org/10.3923/itj.2013.419.423.

      [7] Udoh, N. S. Priority Queuing Models for Emergency Cases in the Hospitals. Journal of National Association of Mathematical Physics, 16(2): 191-196, 2010.

      [8] Siddarthan, K., Jones, W. J. and Johnson, J. A. A priority Queuing Model to Reduce Waiting Times in Emergency Care. International Journal of Healthcare Quality Assurance, 9(5): 10-16, 2006. https://doi.org/10.1108/09526869610124993.

      [9] Taha, H. A. Operations Research: An Introduction, 7th edition. Pearson Education Inc., India, 2007.

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