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COST ANALYSIS OF DISASTER QUEUE SYSTEM WITH SYSTEM BALANCE POLICY
Keywords:
Markovian arrival process, optional vacation, disaster, repair, cost analysisDOI:
https://doi.org/10.17654/0972361724024Abstract
We investigate a queueing model with catastrophes and repair. Consider a single server queueing model with the server having the option of taking either vacation 1 or vacation 2. In the event that the server finds an empty system after returning from vacation 1, the server goes to vacation 2. Furthermore, the system could fail at busy and vacation times. The notion of disaster means that the server at each state fails, and all customers present are removed from the system. In the event of a disaster, the system will resume operation after repair. Assume that all underlying random variables are exponentially distributed and that customers come via a Markovian process to a single server system. Steady state solution of the model is found by using probability generating function (PGF) technique. The economic model based on service expense, disaster expense and vacation expense is discussed.
Received: January 8, 2024
Accepted: February 10, 2024
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