Job Sequencing with Deadline Example1 | Greedy Technique | Lec 53 | Design & Analysis of Algorithm

Job Sequencing with Deadline Definition
Given a set of n jobs and associated with each job i is an integer, deadline di greater than or equal to 0 and profit pi greater than 0, it is required to find the set of jobs such that all the chosen job should be completed within their deadlines and the profit earned should be maximum
Job Sequencing with Deadline Constraints
Only one machine is available for processing jobs
Only one job must be processed at any point of time
A Job is to be completed if it is processed on a machine for one unit time
Job Sequencing with Deadline Design Steps
Jobs are arranged in decreasing order of profit
Assume the deadline of job d[I] greater than or equal to 1, deadline cannot be 0
The no. of jobs to be processed must greater than 1
All jobs require exactly one unit of time to complete
Example1
Obtain the optimal solution for the Job Sequencing Problem with deadlines where n=4(no. of jobs) Profit(P1,P2,P3,P$) = (100,10,15,27) and deadlines(d1,d2,d3,d4) = (2,1,2,1)
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