Electronic Coursepack for Math 419

Prof. Andrew Ross

Misc. stuff

• The Real Modeling Cycle
• As Many Math Models as I could Think Of
• Types of Publication; how trustworthy is each type?

Regression

• Single-variable data examples
• Multivariate data examples
• Sum of Two Sine Waves
• California electric data, 2001
• EMU electric data, 2006
• Weather data, 2004 2005 2006
• monthly-enplanements.jpg

Queues

• How hard is it to solve various type of queues?
  Some sample paths of various types of queues:
• M/M/1
• M/M/50
• M/D/1
• M/D/50
  Real data:
• Israeli bank call center, more data at here.
• EMU computer labs

Discrete-Time Markov Chains

• Generating text with DTMCs [fun! read it!]
• Formulation practice, and Vocabulary
• Matlab diary: basic Matlab and steady-state Markov chains
• Matlab code to find steady-state
• Matlab musings on steady state
• Various academic papers:
  • Blood banks
  • Blood banks--oops
  • Inventory
  • Inventory by Ying Rong
  • Overtime games in the NFL
• Historical perspective on Markov Decision Processes
• Baseball Decision-Making with Markov Chain Models. Thomas W. Polaski (Winthrop University). (must write to him and get a copy)

Misc

The Mathematical Contest in Modeling

My three entries from 1994, 1995, and 1996: mcm/