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Algorithm Unit 2 part 2
Job sequencing with deadline
• We are given n jobs where each job is associated with a deadline
And profit. If the job is finished before the death .
• We have single CPU with non-pre-emptive scheduling.
• With each job, we assume arrival time is 0 burst time of each job
requirement is 1.
• Select a subset of N jobs, such that the job in a subset can be
completed within the deadline and generate maximum profit.
• Q. if we have four task. having deadline
And profit. Find the maximum profit
possible.
Design analysis and algorithm topic Job sequencing with deadline.pdf
Design analysis and algorithm topic Job sequencing with deadline.pdf
• Conclusion
• Follow the given steps to solve the problem:
• Sort all jobs in decreasing order of profits.
• A trait on jobs in decreasing order of profit for each job, do the
following:
• Find the time slot i such that slot is empty and i< deadline, and i is
greatest. Put the job in this slot and mark this slot filled.
• If no such I exist, then ignore the job.
Dijkstra’s algorithm
Design analysis and algorithm topic Job sequencing with deadline.pdf
Time complexity
Design analysis and algorithm topic Job sequencing with deadline.pdf
Optimal merge pattern
Huffman trees
• Hoffman invented a greedy algorithm that constructs an optimal
prefix code called a Hoffman code.
• The algorithm builds the tree.T corresponding to the optimal code
in a bottom up manner. It begin with a set of |c| leaves, and
performs a sequence of|c|-1 merging operations to create the final
tree.
• Q. Find an optimal Hoffman code for the following set of
frequency.
Design analysis and algorithm topic Job sequencing with deadline.pdf

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Design analysis and algorithm topic Job sequencing with deadline.pdf

  • 2. Job sequencing with deadline • We are given n jobs where each job is associated with a deadline And profit. If the job is finished before the death . • We have single CPU with non-pre-emptive scheduling. • With each job, we assume arrival time is 0 burst time of each job requirement is 1. • Select a subset of N jobs, such that the job in a subset can be completed within the deadline and generate maximum profit.
  • 3. • Q. if we have four task. having deadline And profit. Find the maximum profit possible.
  • 6. • Conclusion • Follow the given steps to solve the problem: • Sort all jobs in decreasing order of profits. • A trait on jobs in decreasing order of profit for each job, do the following: • Find the time slot i such that slot is empty and i< deadline, and i is greatest. Put the job in this slot and mark this slot filled. • If no such I exist, then ignore the job.
  • 12. Huffman trees • Hoffman invented a greedy algorithm that constructs an optimal prefix code called a Hoffman code. • The algorithm builds the tree.T corresponding to the optimal code in a bottom up manner. It begin with a set of |c| leaves, and performs a sequence of|c|-1 merging operations to create the final tree.
  • 13. • Q. Find an optimal Hoffman code for the following set of frequency.