Performance analysis of Markovian queue with impatience and vacation times
Assia Boumahdaf
TL;DR
This paper analyzes an M/M/1 queue with impatient customers and server vacations, deriving probability generating functions and performance measures to understand system behavior under these conditions.
Contribution
It introduces a comprehensive analysis of an M/M/1 queue with customer impatience and multiple or single server vacations, providing new performance metrics.
Findings
Derived probability generating functions for the system
Obtained key performance measures such as queue length and waiting times
Analyzed the impact of impatience and vacations on system performance
Abstract
We consider an queueing system with impatient customers with multiple and single vacations. It is assumed that customers are impatient whenever the state of the server. We derive the probability generating functions of the number of customers in the system and we obtain some performance measures.
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Taxonomy
TopicsAdvanced Queuing Theory Analysis · Probability and Risk Models · Healthcare Operations and Scheduling Optimization