O'Reilly logo

Semi-Markov Processes: Applications in System Reliability and Maintenance by Franciszek Grabski

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4

Perturbed Semi-Markov processes

Abstract

The chapter covers the application of the perturbed semi-Markov processes (SMPs) in reliability problems. Many kinds of the perturbed SMPs exist. Some of the simplest types are considered in this chapter. All concepts of the perturbed SMPs are explained in the same simple example. Moreover, an exemplary approximation of the system reliability function with an illustrative numerical example is presented in this chapter. The last section is devoted to the state space aggregation method.

Keywords

Perturbed semi-Markov processes

Approximation

Approximate reliability function

State space aggregation method

4.1 Introduction

It is well-known that in the case of complex semi-Markov models, calculating ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required