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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.19248113 |
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Table of Contents:
- <p>Abstract:<br>This paper examines an investigation an M/M/1 Queueing System with Balking and Impatient<br>Customers under Differentiated Working Vacations. The Poisson Process is used to determine the<br>arrival, and the services are distributed exponentially. FCFS was used to serve the customer. There are<br>two different kinds of vacations: the first kind begins after a busy duration, and the second kind starts<br>when there are no customers waiting for the server to get back from vacation. The two vacations are<br>exponentially distributed and independent. During the first kind and the second kind of vacations,<br>services are exponentially distributed. Additionally, the impatience of the waiting consumer during the<br>vacation period is taken into consideration. Balking customer is one who decides not to enter the queue<br>after observing its length. Considering the Stochastic Processes {( ( ), ( )): ≥ 0}. This was solved<br>using the matrix geometric method. Some parameters are used in the calculation of performance<br>metrics. Additionally, certain graphical and numerical tables are produced.</p>