Abstract
The queuing model with autocorrelated service times is studied with respect to workload, i.e., the time needed to serve all the customers in the queue. Specifically, new formulas for the probability density of workload, its tail, the average value, and entropy are derived and illustrated using numerical examples. Both time-dependent and steady-state cases are covered. It is also demonstrated that the average workload may reach surprisingly large values, exceeding several times the product of the average queue size and the average service time.
| Original language | English |
|---|---|
| Article number | 272 |
| Journal | Entropy |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2025 |
Keywords
- autocorrelated service times
- average workload
- performance evaluation
- queueing systems
- steady-state characteristic
- time-dependent characteristic
- workload distribution
- workload entropy
ASJC Scopus subject areas
- Information Systems
- Mathematical Physics
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Electrical and Electronic Engineering
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