Access the full text.
Sign up today, get DeepDyve free for 14 days.
W. Whitt, D. Stoyan, D. Daley (1986)
Comparison methods for queues and other stochastic modelsJournal of the American Statistical Association, 81
B. Klefsjö (1983)
A useful ageing property based on the Laplace transformJournal of Applied Probability, 20
A. Alzaid, Jee Kim, F. Proschan (1991)
Laplace ordering and its applicationsJournal of Applied Probability, 28
Sheldon Ross (1982)
Stochastic Processes
G.D. Lin (1993)
Characterizations of the Exponential Distribution via the Blocking Time in a Queueing SystemStatistic Sinica, 3
Z. Khalil, B. Dimitrov (1994)
The Service Time Properties of an Unreliable Server Characterize the Exponential DistributionAdvances in Applied Probability, 26
G. Chaudhuri (1993)
Coefficient of Variation for the $$\mathcal{L}$$ of Life DistributionsCommun. Stasist.-Theory and Methods, 22
G. Chaudhuri (1993)
Coefficient of variation for the L-class of life distributionsCommunications in Statistics-theory and Methods, 22
D. Shi (1991)
On Some Distributions of Repairable Queuing Systems
B. Dimitrov, Z. Khalil (1990)
On a new characterization of the exponential distribution related to a queueing system with an unreliable serverJournal of Applied Probability, 27
In this paper, we consider the completion time of a job processed on an unreliable machine. Assume that the lifetime and the repair time of the machine and the service time of the job have general distributions. We obtain the Laplace-Stieltjes transforms and the expectations of the distributions of the completion time, the interruption time and the actual service time. Under some special cases, we derive sufficient and necessary (or sufficient) conditions such that the completion time is larger and smaller than the service time in the sense of the Laplace transform order (or the expectation), respectively.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 3, 2007
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.