Concept explainers
William Beebe owns a small shoe store. He has 10 pairs of shoes that require
resoling and polishing. He has a machine that can resole one pair of shoes at a
time, and the time required for the operation varies with the type and condition of the
shoe and the type of sole that is used. Shoes are polished on a machine dedi-cated to
this purpose as well, and polishing is always done after resoling. His assistant generally does the polishing while Mr. Beebe does the resoling. The resoling and polishing
times (in minutes) are Shoes Resoling Time Polishing Time
1 14 3
2 28 1
3 12 2
4 6 5
5 10 10
6 14 6
7 4 12
8 25 8
9 15 5
10 10 5
In what order should the shoes be repaired in order to minimize the total makespan
for these 10 jobs?
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