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

Katedra Metod Matematycznych w Technice i Informatyce (RMS/RMS3)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

18 Cytowania z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	51-67
Liczba stron	17
Czasopismo	Queueing Systems
Tom	44
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.1023/A:1024042823461
Status publikacji	Opublikowano - maj 2003

Obszary tematyczne ASJC Scopus

Statystyka i prawdopodobieństwo
Zastosowania informatyki
Nauka o zarządzaniu i badania operacyjne
Teoria i matematyka obliczeń

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10.1023/A:1024042823461

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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.",

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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

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

Abstrakt

Obszary tematyczne ASJC Scopus

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