QUEUING SYSTEM WITH INVERSE GAUSSIAN AND MUKHERJEE-ISLAM SERVICE TIME DISTRIBUTIONS

  • S. A. Siddiqui Mathematics and Sciences Unit, Dhofar University, Salalah, Sultanate of Oman
  • Khaliquzzaman Khan Department of Management, Dhofar University, Salalah, Sultanate of Oman
  • Irfan Siddiqui Department of Management Studies, Sinhagad College of Engineering, Pune, India
  • Sanjay Jain Department of Statistics, St. John's College, Agra, U.P., India
Keywords: Queuing model, service time distribution, arrival rate, system

Abstract

A single server waiting line system with Poisson arrivals and Inverse Gaussian service times has been analyzed. The same model has been analyzed by using Mukherjee-Islam (1983) model as the service time model. Inverse Gaussian model has been used in queuing theory but the Mukherjee-Islam model which is basically a failure model has been tested first time as the service time model.

 

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Published
2010-09-03
Section
Articles