135. Performance analysis of a bulk arrival single server queue with server breakdown under Bernoulli and randomized vacation policies.
Invited abstract in session WC-7: OR with Technical Constraints, stream Technical Operations Research.
Wednesday, 13:30-15:00Room: U2-205
Authors (first author is the speaker)
| 1. | Anjana Begum
|
| Statistics, Nowgong Girls' College |
Abstract
This research study examines an unreliable non-Markovian single server queue subject to delayed repair, rendering two heterogeneous services with an optional re-service facility. The server considered here undergoes both exhaustive vacations following the Bernoulli trial during a busy period and non-exhaustive vacations following a randomized policy after a busy period. Using the supplementary variable technique, a thorough study of the proposed model is conducted. The probability generating function of the queue size distribution at random and service completion epoch along with the mean queue size are determined. Besides, the busy period distribution and waiting time distribution are accomplished in the study. A suitable linear cost structure of the underlying model is developed to obtain an optimal randomized policy at a lower cost. Finally, some numerical investigation is carried out to demonstrate the model’s applicability.
Keywords
- Queuing Systems
- Stochastic Models
- Optimal Control
Status: accepted
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