How Long to Read Phase-Type Approximations for Wear Processes in A Semi-Markov Environment

How Long Does it Take to Read Phase-Type Approximations for Wear Processes in A Semi-Markov Environment?

It takes the average reader 2 hours and 22 minutes to read Phase-Type Approximations for Wear Processes in A Semi-Markov Environment by Christopher J. Solo

Assuming a reading speed of 250 words per minute. Learn more

Description

The reliability of a single-unit system experiencing degradation (wear) due to the influence of a general, observable environment process is considered. In particular, the failure time distribution is evaluated using only observations of the unit's current operating environment which is characterized as a finite semi-Markov process (SMP). In order to impose the Markov property, generally distributed environment state sojourn times are approximated as phase- type (PH) random variables using observations of state holding times and transition rates. The use of PH distributions facilitates the use of existing analytical results for reliability evaluation of units subject to an environment process that evolves as a continuous-time Markov chain. The procedure is illustrated through three numerical examples, and results are compared with those obtained via Monte Carlo simulation. The maximum absolute deviation in probability for failure time distributions was on the order of 0.004. The results of this thesis provide a novel approach to the reliability analysis of units operating in randomly evolving environments for which degradation or failure time observations are difficult or impossible to obtain.

How long is Phase-Type Approximations for Wear Processes in A Semi-Markov Environment?

Phase-Type Approximations for Wear Processes in A Semi-Markov Environment by Christopher J. Solo is 138 pages long, and a total of 35,604 words.

This makes it 47% the length of the average book. It also has 44% more words than the average book.

How Long Does it Take to Read Phase-Type Approximations for Wear Processes in A Semi-Markov Environment Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 14 minutes to read Phase-Type Approximations for Wear Processes in A Semi-Markov Environment aloud.

What Reading Level is Phase-Type Approximations for Wear Processes in A Semi-Markov Environment?

Phase-Type Approximations for Wear Processes in A Semi-Markov Environment is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Phase-Type Approximations for Wear Processes in A Semi-Markov Environment?

Phase-Type Approximations for Wear Processes in A Semi-Markov Environment by Christopher J. Solo is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Phase-Type Approximations for Wear Processes in A Semi-Markov Environment by Christopher J. Solo on Amazon click the button below.