A Simple Unreliable Service Model Characterizes Exponential Distribution

Boyan Dimitrov; Stefanka Chukova; Srinivas R. Chakravarthy

A Simple Unreliable Service Model Characterizes Exponential Distribution

Boyan Dimitrov, Stefanka Chukova, Srinivas R. Chakravarthy

Kettering University

Kettering University

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

Abstract

A new characterization of the exponential distribution via invariant property of probability distributions of the execution time in queuing models with an unreliable server, and no more than two interruptions of service are discussed. The original conditions of known similar characterizations have been weakened.

Original language	American English
Journal	Kuwait Journal of Science and Engineering
Volume	28
State	Published - Jan 1 2001

Keywords

Characterization theorem
lack of memory property
NBU and NWU families
occupation time
reliability
unreliable server.

Disciplines

Industrial Engineering

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Cite this

@article{94f2abc6f65b417f8b13c52a9db3d5ca,

title = "A Simple Unreliable Service Model Characterizes Exponential Distribution",

abstract = " A new characterization of the exponential distribution via invariant property of probability distributions of the execution time in queuing models with an unreliable server, and no more than two interruptions of service are discussed. The original conditions of known similar characterizations have been weakened.",

keywords = "Characterization theorem, lack of memory property, NBU and NWU families, occupation time, reliability, unreliable server.",

author = "Boyan Dimitrov and Stefanka Chukova and Chakravarthy, \{Srinivas R.\}",

year = "2001",

month = jan,

day = "1",

language = "American English",

volume = "28",

journal = "Kuwait Journal of Science and Engineering",

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TY - JOUR

T1 - A Simple Unreliable Service Model Characterizes Exponential Distribution

AU - Dimitrov, Boyan

AU - Chukova, Stefanka

AU - Chakravarthy, Srinivas R.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - A new characterization of the exponential distribution via invariant property of probability distributions of the execution time in queuing models with an unreliable server, and no more than two interruptions of service are discussed. The original conditions of known similar characterizations have been weakened.

AB - A new characterization of the exponential distribution via invariant property of probability distributions of the execution time in queuing models with an unreliable server, and no more than two interruptions of service are discussed. The original conditions of known similar characterizations have been weakened.

KW - Characterization theorem

KW - lack of memory property

KW - NBU and NWU families

KW - occupation time

KW - reliability

KW - unreliable server.

UR - https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/17

UR - http://pubcouncil.kuniv.edu.kw/kjs/home.aspx?id=8Root=yesauthid=639

M3 - Article

VL - 28

JO - Kuwait Journal of Science and Engineering

JF - Kuwait Journal of Science and Engineering

ER -

A Simple Unreliable Service Model Characterizes Exponential Distribution

Abstract

Keywords

Disciplines

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