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

Department of Computer Networks and Systems (RAU/RAU9)

Silesian University of Technology

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	637-641
Number of pages	5
Journal	Proceedings - International Symposium on Computers and Communications
Publication status	Published - 2005
Event	10th IEEE Symposium on Computers and Communications, ISCC 2005 - Murcia, Spain Duration: 27 Jun 2005 → 30 Jun 2005

ASJC Scopus subject areas

Software
Signal Processing
General Mathematics
Computer Science Applications
Computer Networks and Communications

Cite this

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title = "Distribution of the first buffer overflow time in a deterministic service time queue",

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",

year = "2005",

language = "English",

pages = "637--641",

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

issn = "1530-1346",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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

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T1 - Distribution of the first buffer overflow time in a deterministic service time queue

AU - Chydzinski, Andrzej

AU - Winiarczyk, Ryszard

PY - 2005

Y1 - 2005

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

Abstract

ASJC Scopus subject areas

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