MATH 381, Discrete Modeling

Handouts in postscript (ps) and pdf format:

• Factsheet --- ps --- pdf
• Handout #1: Lifeboats and Life Vests --- ps --- pdf
• Handout #2: Fish Tanks, Part I--- ps --- pdf
• Handout #3: Fish Tanks, Part II--- ps --- pdf
  Matlab codes:
  • h3monte.m (Monte Carlo simulation)
  • h3markov.m (Markov Chain eigenvector)
• Handout #4: Planning a trip --- ps --- pdf
• Handout #5: Reading and Homework --- ps --- pdf
• Handout #6: Writing Assignment on Dijkstra's Algorithm --- ps --- pdf
  • Form used in class when reading others --- ps --- pdf
• Handout #7: Pig Farming and Greediness --- ps --- pdf
• Handout #8: Course Projects --- ps --- pdf
• Handout #9: Linear Programming --- ps --- pdf
  • Original Math 407 notes by Prof. Jim Burke (includes discussion of duality and sensitivity)
• 10/16/98: Copies of the paper [Gra98] were distributed.
• Handout #10: Homework on Linear Programming --- ps --- pdf
  • Model 11 is also needed.
• 10/23/98: Handout on "Matrix Models", from the book [ Jef78]
  Matlab codes:
  • birds.m Bird model
  • whales.m Blue whale model
• Handout #11: Midterm Review --- ps --- pdf
• Handout #12: Solutions to Problem 2 on Handout 10 --- ps --- pdf
  Matlab codes:
  • pigs.m Pig farming model ( Model 2)
• Handout #13: Homework on Markov chains --- ps --- pdf
  You might also want to look at the handouts and examples from last year's class taught by Prof. Anne Greenbaum.
• Handout #14: Writing Assignment on Evolutionary Trees --- ps --- pdf
  • Glossary of biological terms (by Charla Lambert) --- ps --- pdf
• Handout #15: Guidelines for the Project Paper --- ps --- pdf
• Handout #16: Forest Management --- ps --- pdf
  LINDO files from Bruce Bare for the models he discussed.
  The order of the files in terms of problem definition is c,b,d,a,e, and f. Model e is to be compared against model b showing that the changed in the decision variable from hectares to proportion of compartment give the same result.
  • ch6c.html
  • ch6b.html
  • ch6d.html
  • ch6a.html
  • ch6e.html
  • ch6f.html
• 11/23/98: Sample LaTeX file and output:
  • sample.tex latex file
  • sample.ps Postscript output
  • sample.pdf pdf output
  • sample2.tex latex file in old Version 2.09 form if your latex doesn't like the sample.tex file
• Handout #17: Fish Tanks Revisited -- Poisson Processes --- ps --- pdf
  Matlab code:
  • poisson.m Computing Poisson distribution by Monte Carlo simulation.
• 11/24/98: Survey form to fill out --- ps --- pdf
  
• Handout #18: A Simple Queuing Model using the Exponential Distribution --- ps --- pdf
  Matlab code:
  • q1.m Matlab code for a=1, b=1.5
  • q2.m Matlab code for a=1, b=1.1
• Handout #19: Final Exam Review and More Comments on Projects --- ps --- pdf
  
• 11/23/98: pages 244--247 from Gaver and Thompson [GT73] .
  Matlab code:
  • cargo.m Matlab code the cargo plane loading example discussed in class, which generates random cargos and plots the profit as a function of strategy (after interpreting the string of 0's and 1's as a binary number).