Queueing model with dependence between service and interarrival times

O. J. Boxma; D. Perry

doi:10.1016/S0377-2217(99)00396-3

Queueing model with dependence between service and interarrival times

O. J. Boxma
, D. Perry

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a storage model that can be either interpreted as a certain queueing model with dependence between a service request and the subsequent interarrival time, or as a fluid production/inventory model with a two-state random environment. We establish a direct link between the workload distributions of the queueing model and the production/inventory model, and we present a detailed analysis of the workload and waiting time process of the queueing system.

Original language	English
Pages (from-to)	611-624
Number of pages	14
Journal	European Journal of Operational Research
Volume	128
Issue number	3
DOIs	https://doi.org/10.1016/S0377-2217(99)00396-3
State	Published - 1 Feb 2001

ASJC Scopus subject areas

General Computer Science
Modeling and Simulation
Management Science and Operations Research
Information Systems and Management

Access to Document

10.1016/S0377-2217(99)00396-3

Cite this

@article{035866c3b48d428099848f9bae481560,

title = "Queueing model with dependence between service and interarrival times",

abstract = "We consider a storage model that can be either interpreted as a certain queueing model with dependence between a service request and the subsequent interarrival time, or as a fluid production/inventory model with a two-state random environment. We establish a direct link between the workload distributions of the queueing model and the production/inventory model, and we present a detailed analysis of the workload and waiting time process of the queueing system.",

author = "Boxma, \{O. J.\} and D. Perry",

year = "2001",

month = feb,

day = "1",

doi = "10.1016/S0377-2217(99)00396-3",

language = "English",

volume = "128",

pages = "611--624",

journal = "European Journal of Operational Research",

issn = "0377-2217",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Queueing model with dependence between service and interarrival times

AU - Boxma, O. J.

AU - Perry, D.

PY - 2001/2/1

Y1 - 2001/2/1

N2 - We consider a storage model that can be either interpreted as a certain queueing model with dependence between a service request and the subsequent interarrival time, or as a fluid production/inventory model with a two-state random environment. We establish a direct link between the workload distributions of the queueing model and the production/inventory model, and we present a detailed analysis of the workload and waiting time process of the queueing system.

AB - We consider a storage model that can be either interpreted as a certain queueing model with dependence between a service request and the subsequent interarrival time, or as a fluid production/inventory model with a two-state random environment. We establish a direct link between the workload distributions of the queueing model and the production/inventory model, and we present a detailed analysis of the workload and waiting time process of the queueing system.

UR - https://www.scopus.com/pages/publications/0035254850

U2 - 10.1016/S0377-2217(99)00396-3

DO - 10.1016/S0377-2217(99)00396-3

M3 - Article

AN - SCOPUS:0035254850

SN - 0377-2217

VL - 128

SP - 611

EP - 624

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 3

ER -

Queueing model with dependence between service and interarrival times

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this