April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Abstract Algorithms 2—Greedy Methods 243
Algorithm 10.3 GJS(D, J, n)
1 [ J is an output vector of selected jobs ]
2 [ job numbers are in non-increasing order of profit, d is deadline vector ]
3 local i;
4 J ← 1; [ best job always selected ]
5 for i ← 2 to n do
6 if all jobs in J ∪ {i} can be completed by their deadlines then
7 J ← J ∪ i;
8 end
9 end
We can keep the jobs in the set J in an array j [ ] sorted by non-decreasing order of deadlines, which will
be easier to perform the feasibility check. On the other hand, we assume that job numbers are given in non-
increasing order of profi t p, thus their deadlines are stored in ...
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