This notebook briefly defines a Markov chain (a tool in probability to model a system which can move between various states) and uses the example of a coin-flipping game to illustrate the basic ideas and how to set up a Markov chain in Mathematica. This notebook uses Mathematica’s QueueProcess command to look at the following question: If on average 8 people come in for help per hour, from the point of view of wait and service times is it better to have 1 representative who can help an average of 10 people per hour or 2 representatives who can help 5 people per hour? It also takes an example (based one in the Mathematica documentation) that looks at a network of queues (where people come to campus and look around, then get their parking permit, then get their course schedule).ĭownload this or any of my other Applications notebooks from Google Drive Modeling a Tennis Game as a Markov Chain Both types of hard drive arrays are discussed and Mathematica’s ReliabilityDistribution command is used to examine which type of array tends to last longer over time (given certain assumptions about the underlying hard drives).ĭownload this or any of my other Applications notebooks from Google Drive Queue Times This notebook looks at some basic reliability analysis (in this case for RAID 10 and RAID 5 arrays).
This notebook shows an example of downloading weather information using Mathematica’s WeatherData command (in this case over a decade’s worth of daily average temperatures from the Durant area) and how to fit curves to it (both sinusoidal and triangular waves).ĭownload this or any of my other Applications notebooks from Google Drive Reliability of Raid Arrays Get a (non interactive) PDF of this notebookĭownload this or any of my other Applications notebooks from Google Drive Modeling the Weather The problem is also generalized to include part-time workers with variable relative salaries and efficiencies. This notebook looks at a particular type of workforce scheduling where you know how many people are needed each day of the week and workers must work 5 days on followed by 2 days off.
I will likely repost and update the links for earlier posts this summer. Important Note: Prior to 2016 our homepages would not allow me to post Mathematica notebooks directly on our site, so the majority of the notebook links will open a new window or tab with a Google Drive page. Mathematica Notebooks for Miscellaneous Applications Financial Aid & Costs Toggle Toggle Close.
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