The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals
Abstract
We empirically explore the accuracy of an easily computed approximation for long run, average performance measures such as expected delay and probability of delay in multiserver queueing systems with exponential service times and periodic (sinusoidal) Poisson arrival processes. The pointwise stationary approximation is computed by integrating over time (that is taking the expectation of) the formula for the stationary performance measure with the arrival rate that applies at each point in time. This approximation, which has been empirically confirmed as a tight upper bound of the true value, is shown to be very accurate for a range of parameter values corresponding to a reasonably broad spectrum of real systems.
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Citations
Cites
Observing Stochastic Processes, and Approximate Transform Inversion
Gaver, D. P. (1966) · Operations Research · doi:10.1287/opre.14.3.444 · Cited by 428
Applications of Queueing Theory
Hannan, E. L., & Newell, G. F. (1985) · Technometrics · doi:10.1080/00401706.1985.10488064 · Cited by 329
Air-Terminal Queues under Time-Dependent Conditions
Koopman, B. O. (1972) · Operations Research · doi:10.1287/opre.20.6.1089 · Cited by 154
Cited by
Improving Fire Department Productivity: Merging Fire and Emergency Medical Units in New Haven
Swersey, A. J., Goldring, L., & Geyer, E. D. (1993) · Interfaces · doi:10.1287/inte.23.1.109 · Cited by 15
Metadata
- Authors
- Green, L., & Kolesar, P.
- Venue
- Management Science
- Published
- 1991-01
- Volume
- 37
- Issue
- 1
- Pages
- 84-97
- ISSN
- 0025-1909 (ISSN-L)
- 1526-5501
- OpenAlex
- W2169852575
- Cited by
- 257
- References
- 3
- FWCI
- 5.65
- Type
- journal article
- Language
- en
- Open access
- closed
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- Green, L., & Kolesar, P. (1991). The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals. Management Science. https://doi.org/10.1287/mnsc.37.1.84
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