IEOR4405, Spring 2017: Homework 6

Assigned: Friday, March 10, 2017
Due: Friday, March 24, 2017

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 4 machines with speeds 8, 5, 4, and 1 for which the optimal schedule needs to run the longest job on exactly 3 of the 4 machines.
  2. Consider an instance of R|pmtn|Cmax for which the amount of processing time for each job on each machine is :
    J1 J2 J3 J4
    M1 5 3 0 0
    M2 0 5 4 1
    M3 3 2 2 5
    Show the execution of the algorithm given in class on this instance.
  3. Problem 5.8
  4. Problem 5.15

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