A factory has five workers, Anne, Bob, Carol, Dave and Ethan. It also has 5 tasks which
Question:
A factory has five workers, Anne, Bob, Carol, Dave and Ethan. It also has 5 tasks which must be done. Each worker does the tasks with a different efficiency. Apply the branch and bound strategy to allocate the tasks with minimum overall cost, when each task must be completed by a different worker.
The cost for each worker to do the tasks is given in the following table:
a) Describe a suitable method to calculate the lower bound value for all similar problems, where the total number of workers and the total number of tasks are equal?
b) Describe a method to calculate a suitable upper bound for similar problems?
c) Use the branch and bound strategy to find the most cost-efficient allocation of tasks to workers. Show the details of the expansion and pruning (branch and bound) of the decision tree along with reasons.
Probability and Statistics for Engineers and Scientists
ISBN: 978-0495107576
3rd edition
Authors: Anthony Hayter