IEOR4405, Spring 2005: Homework 9

Assigned: Thursday, April 7, 2005
Due: Thursday, April 14, 2005, in class

General Instructions

  1. Please review the course information.
  2. You must write down with whom you worked on the assignment. If this changes from problem to problem, then you should write down this information separately with each problem.
  3. Numbered problems are all from the textbook Scheduling: Theory, Algorithms and Systems.

Problems

  1. Problem 8.2
  2. Towards the end of the notes on flight scheduling in the time-shared jet business, an integer programming formulation is discussed, but the constraints are only given in words. Please write equations that model these constraints. (There are 6 of them.) Please use the variables defined in the notes plus any additional variables you need.
  3. Pages 7 and 8 of the notes on scheduling in transportation give an integer program with an objective function and 15 constraints. Please explain in words what the objective function measures and what each of the 15 constraints measures.
  4. Write a one-page report about the progress on your project so far. You must show significant progress from your proposal. (Please turn this in on a separate piece of paper).

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cliff@ieor.columbia.edu