MATH 381, Discrete Modeling

Handouts in postscript (ps) and pdf format:

• Factsheet --- ps --- pdf
• Handout #1: Network Flow Models--- ps --- pdf
• Handout #2: Network Flow Models --- More Homework problems ps --- pdf
• Handout #3: Reading from Ross and Homework problem ps --- pdf
• Handout #4: Class Projects ps --- pdf
• Handout #5: Homework on Monte Carlo Methods ps --- pdf
• Matlab codes for Monte Carlo Simulation:
  • fishtankmc1.m From page 13 of notes
  • fishtankmc2.m From Section 3.5 of notes
  • queue.m Queuing theory code from Figure 3.6 of notes
  • pharmacy.m Pharmacy model for homework on Handout 5.
  • Kinetic Monte Carlo simulation for atom deposition and surface diffusion:
    • atoms.m (Main routine which uses the others)
    • moveatom.m
    • plotatom.m
    • plotallatoms.m
    • One sample simulation (animated gif)
• Handout #6: Writing Assignments ps --- pdf
• Matlab codes for Markov Chain examples:
  • mcQ.m Monte Carlo simulation of queue for comparison
  • markovQ.m Markov chain transition matrix for queue example
  • machine.m Markov chain transition matrix for machine reliability example
  • worksched.m Markov chain transition matrix for work schedule example
• Handout #7: Homework on Markov chains ps --- pdf
• Handout #8: Linear Programming homework ps --- pdf
  • Model 20 is also needed.
  • Other models from Prof. Burke's Math 407 page.
• Handout #9: Midterm Review ps --- pdf
  • Handout #9a: Midterm Review - Sample problems ps --- pdf
• Sample LaTeX file and output:
  • sample.tex latex file
  • samplebib.bib bibtex database
  • fig.eps Postscript file containing a figure
  • sample.ps Postscript output
  • sample.pdf pdf output