IEOR4405, Spring 2013: Homework 6

Assigned: Thursday, February 28, 2013
Due: Thursday, March 7, 2013, 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. Give an example for Q|pmtn|Cmax on 3 machines with speeds 5, 4, and 1 for which the optimal schedule needs to run the fastest job on all 3 machines.
  2. Consider an instance of R|pmtn|Cmax for which the assignment of jobs to machines is
    J1 J2 J3 J4
    M1 0 2 4 1
    M2 6 3 0 0
    M3 2 2 2 5
    Show the execution of the algorithm given in class on this instance.
  3. Problem 5.8
  4. Problem 5.11
  5. Problem 5.15
  6. Begin working on your initial project proposal (We will discuss it in class on 3/5 and it is due 3/12)

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cliff@ieor.columbia.edu