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Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment

Author

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  • G. Arul Freeda Vinodhini
  • V. Vidhya

Abstract

A dynamically changing road traffic model which occasionally suffers a disaster (traffic collision, wrecked vehicles, conflicting weather conditions, spilled cargo, and hazardous matter) resulting in loss of all the vehicles (diverted to other routes) has been discussed. Once the system gets repaired, it undergoes trial phases and finally reaches its full capacity phase n . We have obtained the explicit steady state probabilities of the system via Matrix Geometric Method. Probability Generating Function is used to evaluate the time spent by the system in each phase. Various performance measures like mean traffic, average waiting time of vehicles, and fraction of vehicles lost are calculated. Some special cases have also been discussed.

Suggested Citation

  • G. Arul Freeda Vinodhini & V. Vidhya, 2016. "Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:2917917
    DOI: 10.1155/2016/2917917
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    Cited by:

    1. Vijay Rajan Lumb & Indra Rani, 2022. "Analytically simple solution to discrete-time queue with catastrophes, balking and state-dependent service," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 783-817, April.
    2. Agassi Melikov & Laman Poladova & Sandhya Edayapurath & Janos Sztrik, 2023. "Single-Server Queuing-Inventory Systems with Negative Customers and Catastrophes in the Warehouse," Mathematics, MDPI, vol. 11(10), pages 1-16, May.

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