Matrix-Analytics Methods in Stochastic Models
Execution Time on an Unreliable Server with Latent Breakdowns
Nicola et al . ( 1992) discussed several reliability characteristics of a system that alternates between up and down states and that reaches a critical condition when the accumulated downtime exceeds a given threshold, say b. They show that the probability distribution of various important measures can be directly derived from the probability distributions of the total execution time, when the job requires given a time units. The approach used is quite general and some early known results have been obtained as particular cases . The probability distributions are derived in terms of multidimensional Laplace transforms. Applications of the matrix-analytic approach with attraction of PH-distributions to the similar models of total execution time can be found in Bobbio and Trivedi ( 1990) and Jereb et al . ( 1995) . Both papers contain review of papers related to this subject . The above review briefly presents the status of this field.
© 1996 Taylor & Francis
Chukova, Stefanka and Dimitrov, Boyan N., "Matrix-Analytics Methods in Stochastic Models" (1996). Mathematics Publications. 71.
Chapter 12, p 225-240.16 pages. Edited by S. Chakravarthy, Attahiru S. Alfa.