Chapter 13

Markov chain models and applications

Kishor S. Trivedi1, Kalyanaraman Vaidyanathan2 and Dharmaraja Selvamuthu3,    1Duke University, Durham, NC, USA,    2Oracle Corporation, San Diego, CA, USA,    3Indian Institute of Technology Delhi, New Delhi, India

Modeling is a fundamental aspect of the design process of a complex system, as it allows the designer to compare different architectural choices as well as predict the behavior of the system under varying input traffic, service, fault and prevention parameters. For instance, in operational software systems, the phenomenon of software aging in which the state of the software gradually degrades with time and, if untreated, eventually leads to a crash/hang failure has been well recognized. ...

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