TY - JOUR
T1 - The Service Time Properties of an Unreliable Server Characterize the Exponential Distribution
AU - Khalil, Zainab
AU - Dimitrov, Boyan
N1 - Advances in Applied Probability Consider the total service time of a job on an unreliable server under preemptive-repeat-different and preemptive-resume service disciplines. With identical initial conditions, for both cases, we notice that the distributions of the total service time under these two disciplines coincide, when the original service time (without interruptions due to server failures) is exponential and independent of the server reliability.
PY - 1994/3/1
Y1 - 1994/3/1
N2 - Consider the total service time of a job on an unreliable server under preemptive-repeat-different and preemptive-resume service disciplines. With identical initial conditions, for both cases, we notice that the distributions of the total service time under these two disciplines coincide, when the original service time (without interruptions due to server failures) is exponential and independent of the server reliability. We show that this fact under varying server reliability is a characterization of the exponential distribution. Further we show, under the same initial conditions, that the coincidence of the mean values also leads to the same characterization.
AB - Consider the total service time of a job on an unreliable server under preemptive-repeat-different and preemptive-resume service disciplines. With identical initial conditions, for both cases, we notice that the distributions of the total service time under these two disciplines coincide, when the original service time (without interruptions due to server failures) is exponential and independent of the server reliability. We show that this fact under varying server reliability is a characterization of the exponential distribution. Further we show, under the same initial conditions, that the coincidence of the mean values also leads to the same characterization.
UR - https://www.cambridge.org/core/journals/advances-in-applied-probability/article/the-service-time-properties-of-an-unreliable-server-characterize-the-exponential-distribution/C068287F305D3B2D503E7B758D98AD97
U2 - 10.2307/1427585
DO - 10.2307/1427585
M3 - Article
VL - 26
JO - Advances in Applied Probability
JF - Advances in Applied Probability
ER -