Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 3 of 3
Full-Text Articles in Engineering
Analytical Results For A Single-Unit System Subject To Markovian Wear And Shocks, Daniel E. Finkelstein
Analytical Results For A Single-Unit System Subject To Markovian Wear And Shocks, Daniel E. Finkelstein
Theses and Dissertations
This thesis develops and analyzers a mathematical model for the reliability measures of a single-unit system subject to continuous wear due to its operating environment and randomly occurring shocks that inflict a random amount of damage to the unit. Assuming a Markovian operating environment and shock arrival mechanism, Laplace-Stieltjes transform expressions are obtained for the failure time distribution and all of its moments. Moreover, an analytical expression is derived for the long-run availability of the single-unit system when it is subject to an inspect-and-replace maintenance policy. The analytical results are illustrated, and their results compared with those of Monte Carlo-simulated …
Phase-Type Approximations For Wear Processes In A Semi-Markov Environment, Christopher J. Solo
Phase-Type Approximations For Wear Processes In A Semi-Markov Environment, Christopher J. Solo
Theses and Dissertations
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 …
Teaching Decision Making With Baseball Examples, J. Eric Bickel
Teaching Decision Making With Baseball Examples, J. Eric Bickel
Eric Bickel
Sports examples can be wonderful vehicles for teaching OR/MS concepts. Baseball is particularly well suited to teaching statistics/probability, Markov decision processes, and decision analysis. This paper details a baseball example I developed to teach fundamental decision making skills. This example has been used successfully to teach decision making to undergraduates and graduates in technical and non-technical disciplines. It has also been used effectively in industry for training new MBAs and seasoned executives.