Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues

M. S. Bratiychuk; W. Kempa

doi:10.1023/A:1024042823461

Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues

M. S. Bratiychuk
, W. Kempa

Department of Mathematical Methods in Technology and Computer Science (RMS/RMS3)

Silesian University of Technology

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

18 Citations (Scopus)

Abstract

The G^θ/G/1-type batch arrival system is considered. We deal with non-steady-state characteristics of the system like the first busy period and the first idle time, the number of customers served on the first busy period. The study is based on a generalization of Korolyuk's method which he developed for semi-Markov random walks.

Original language	English
Pages (from-to)	51-67
Number of pages	17
Journal	Queueing Systems
Volume	44
Issue number	1
DOIs	https://doi.org/10.1023/A:1024042823461
Publication status	Published - May 2003

Keywords

Busy period
Canonical factorization
Idle time

ASJC Scopus subject areas

Statistics and Probability
Computer Science Applications
Management Science and Operations Research
Computational Theory and Mathematics

Access to Document

10.1023/A:1024042823461

Cite this

@article{920985cb449d40278c4cc5e68ee40770,

title = "Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues",

abstract = "The Gθ/G/1-type batch arrival system is considered. We deal with non-steady-state characteristics of the system like the first busy period and the first idle time, the number of customers served on the first busy period. The study is based on a generalization of Korolyuk's method which he developed for semi-Markov random walks.",

keywords = "Busy period, Canonical factorization, Idle time",

author = "Bratiychuk, \{M. S.\} and W. Kempa",

year = "2003",

month = may,

doi = "10.1023/A:1024042823461",

language = "English",

volume = "44",

pages = "51--67",

journal = "Queueing Systems",

issn = "0257-0130",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues

AU - Bratiychuk, M. S.

AU - Kempa, W.

PY - 2003/5

Y1 - 2003/5

N2 - The Gθ/G/1-type batch arrival system is considered. We deal with non-steady-state characteristics of the system like the first busy period and the first idle time, the number of customers served on the first busy period. The study is based on a generalization of Korolyuk's method which he developed for semi-Markov random walks.

AB - The Gθ/G/1-type batch arrival system is considered. We deal with non-steady-state characteristics of the system like the first busy period and the first idle time, the number of customers served on the first busy period. The study is based on a generalization of Korolyuk's method which he developed for semi-Markov random walks.

KW - Busy period

KW - Canonical factorization

KW - Idle time

UR - https://www.scopus.com/pages/publications/0037527888

U2 - 10.1023/A:1024042823461

DO - 10.1023/A:1024042823461

M3 - Article

AN - SCOPUS:0037527888

SN - 0257-0130

VL - 44

SP - 51

EP - 67

JO - Queueing Systems

JF - Queueing Systems

IS - 1

ER -

Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this