A machine is running continuously except when it is broken. Suppose that while the machine is running, breakages happen according to a Poisson process of rate a. As soon as the machine breaks an engineer is called. The time it takes for the engineer to arrive follows an Exp(ß) distribution. When the engineer has arrived they spend a time with Exp(y) distribution working on the machine. At the end of this time it is either mended and running (this happens with probability p) or permanently broken (this happens with probability 1 − p).

A machine is running continuously except when it is broken. Suppose that while the machine is running, breakages happen according to a Poisson process of rate a. As soon as the machine breaks an engineer is called. The time it takes for the engineer to arrive follows an Exp(ß) distribution. When the engineer has arrived they spend a time with Exp(y) distribution working on the machine. At the end of this time it is either mended and running (this happens with probability p) or permanently broken (this happens with probability 1 − p).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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