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    Markov Modeling of A Maintenance Facility

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    2006_ZhuY_THS_000733.pdf (3.602Mb)
    Author
    Zhu, Ying
    Advisor
    Mark Parker; Richard Lambert; Holly Zullo
    Date of Issue
    2006-04-01
    Metadata
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    URI
    https://scholars.carroll.edu/handle/20.500.12647/3442
    Title
    Markov Modeling of A Maintenance Facility
    Type
    thesis
    Abstract
    Real-life decisions often need to take into account uncertainties about many future events. There are various models for processes that evolve over time in a probabilistic manner. Such processes are called stochastic processes. In this paper, we use both discrete and continuous time Markov chains to model an aircraft maintenance facility and explore the relationships of these models with standard queuing theory approaches. Our first step applies discrete time Markov chains based on Binomial and Poisson distributions to our model. Next, we extend the models to continuous time Markov chains associated with exponential distributions, and also relate the new model to queuing theory. Finally, we compare our discrete models to the continuous ones and generalize cases for which a discrete Markov chain can be effectively implemented into the standard queuing approach to help analyze the transient probability states. In the end, we analyze strengths and weaknesses of our methods as well as propose future work that could be accomplished. Several ideas are explored using Mathematica.
    Degree Awarded
    Bachelor's
    Semester
    Spring
    Department
    Mathematics, Engineering & Computer Science
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