Back to Search
Start Over
Using infinite server queues with partial information for occupancy prediction.
- Source :
- Journal of the Operational Research Society; Feb2024, Vol. 75 Issue 2, p262-277, 16p
- Publication Year :
- 2024
-
Abstract
- Motivated by demand prediction for the custodial prison population in England and Wales, this paper describes an approach to the study of service systems using infinite server queues, where the system has non-empty initial state and the elapsed time of individuals initially present is not known. By separating the population into initial content and new arrivals, we can apply several techniques either separately or jointly to those sub-populations, to enable both short-term queue length predictions and longer-term considerations such as managing congestion and analysing the impact of potential interventions. The focus in the paper is the transient behaviour of the M t / G / ∞ queue with a non-homogeneous Poisson arrival process and our analysis considers various possible simplifications, including approximation. We illustrate the approach in that domain using publicly available data in a Bayesian framework to perform model inference. [ABSTRACT FROM AUTHOR]
- Subjects :
- POISSON processes
DECISION support systems
PRISON population
FORECASTING
Subjects
Details
- Language :
- English
- ISSN :
- 01605682
- Volume :
- 75
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of the Operational Research Society
- Publication Type :
- Academic Journal
- Accession number :
- 175497431
- Full Text :
- https://doi.org/10.1080/01605682.2023.2189002