April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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242 Design and Analysis of Algorithms
10.3 JOB SEQUENCING WITH DEADLINES
Given a set of n jobs, each having a “deadline” (an integer) d[i] and a profi t p[i] associated with it. For a job
i the profi t is earned if and only if the job is completed within its deadline. Each job takes one unit of time
on a machine (processor) and only one machine is available. We want to maximize the profi t. The jobs are
arranged in decreasing order of profi t in an array.
A feasible solution to this problem is a subset J of the n jobs, such that each of them can be completed
within its deadline. The value of the feasible solution is Σp[i] for all i ∈ J. An optimal ...
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