Distribution of the first buffer overflow time in a deterministic service time queue

Andrzej Chydzinski; Ryszard Winiarczyk

Distribution of the first buffer overflow time in a deterministic service time queue

Andrzej Chydzinski
, Ryszard Winiarczyk

Katedra Sieci i Systemów Komputerowych (RAU/RAU9)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł z konferencji › recenzja

2 Cytowania z bazy Scopus

Abstrakt

It has been argued recently that steady-state parameters (like cell loss probability) have important drawbacks when used as quality of service criteria of telecommunication networks. Therefore the first buffer overflow time has been proposed as an alternative, transient characteristic. In this paper the first buffer overflow time in a constant service rate queue is studied. In particular, the formulas for Laplace transform and expected value of its distribution for any initial queue size are proven. Moreover, numerical illustrations of analytical results are presented.

Język oryginału	angielski
Strony (od–do)	637-641
Liczba stron	5
Czasopismo	Proceedings - International Symposium on Computers and Communications
Status publikacji	Opublikowano - 2005
Wydarzenie	10th IEEE Symposium on Computers and Communications, ISCC 2005 - Murcia, Hiszpania Czas trwania: 27 cze 2005 → 30 cze 2005

Obszary tematyczne ASJC Scopus

Oprogramowanie
Przetwarzanie sygnałów
Matematyka ogólna
Zastosowania informatyki
Sieci komputerowe i komunikacja

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Cytowanie

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abstract = "It has been argued recently that steady-state parameters (like cell loss probability) have important drawbacks when used as quality of service criteria of telecommunication networks. Therefore the first buffer overflow time has been proposed as an alternative, transient characteristic. In this paper the first buffer overflow time in a constant service rate queue is studied. In particular, the formulas for Laplace transform and expected value of its distribution for any initial queue size are proven. Moreover, numerical illustrations of analytical results are presented.",

author = "Andrzej Chydzinski and Ryszard Winiarczyk",

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language = "English",

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journal = "Proceedings - International Symposium on Computers and Communications",

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note = "10th IEEE Symposium on Computers and Communications, ISCC 2005 ; Conference date: 27-06-2005 Through 30-06-2005",

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AU - Chydzinski, Andrzej

AU - Winiarczyk, Ryszard

PY - 2005

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N2 - It has been argued recently that steady-state parameters (like cell loss probability) have important drawbacks when used as quality of service criteria of telecommunication networks. Therefore the first buffer overflow time has been proposed as an alternative, transient characteristic. In this paper the first buffer overflow time in a constant service rate queue is studied. In particular, the formulas for Laplace transform and expected value of its distribution for any initial queue size are proven. Moreover, numerical illustrations of analytical results are presented.

AB - It has been argued recently that steady-state parameters (like cell loss probability) have important drawbacks when used as quality of service criteria of telecommunication networks. Therefore the first buffer overflow time has been proposed as an alternative, transient characteristic. In this paper the first buffer overflow time in a constant service rate queue is studied. In particular, the formulas for Laplace transform and expected value of its distribution for any initial queue size are proven. Moreover, numerical illustrations of analytical results are presented.

UR - https://www.scopus.com/pages/publications/27544456731

M3 - Conference article

AN - SCOPUS:27544456731

SN - 1530-1346

SP - 637

EP - 641

JO - Proceedings - International Symposium on Computers and Communications

JF - Proceedings - International Symposium on Computers and Communications

T2 - 10th IEEE Symposium on Computers and Communications, ISCC 2005

Y2 - 27 June 2005 through 30 June 2005

ER -

Distribution of the first buffer overflow time in a deterministic service time queue

Abstrakt

Obszary tematyczne ASJC Scopus

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