A cost analysis of single-server discouraged arrivals with differentiated vacation queueing model
| Autor: | Srinivasan Keerthana, Jaisingh Ebenesar Anna Bagyam, Ramachandran Remya |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Croatian Operational Research Review, Vol 15, Iss 2, Pp 145-158 (2024) |
| Druh dokumentu: | article |
| ISSN: | 1848-0225 1848-9931 |
| DOI: | 10.17535/crorr.2024.0012 |
| Popis: | This paper investigates an M/M/1 queueing system with differentiated vacations and discouraged arrivals, focusing on two types of vacations. The server switches to type I vacation with rate γ1 when the system is empty during an active state. If no customers are waiting when it returns from a type I vacation, it then switches to a type II vacation with a rate of γ2. Both vacation times and service duration follow exponential distributions. The study utilises the Probability Generating Function (PGF) technique to derive steady-state solutions for both vacation policies. Furthermore, the research explores relevant performance metrics and provides numerical examples to illustrate the system's behaviour under various conditions. The cost analysis of the M/M/1 differentiated vacation system with discouraged arrival queueing and various aspects of the system's behaviour under different arrival rates (λ, λ1, λ2) are discussed. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|