[a] Prove that the "Bin Packing Problem" (BPP) is NP-Complete. Like the rest of the exam, you may use online resources but should cite your source and summarize the proof in your own words.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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[a] Prove that the "Bin Packing Problem" (BPP) is NP-Complete. Like the rest of the exam, you may use online resources but
should cite your source and summarize the proof in your own words.
[b] Write an approximation algorithm for the online version of BPP that randomly considers up to three partially filled bins, and
if none have room, then create a new bin and use that.
[c] What modification to your solution in [b] would you recommend to solve the offline version of BPP.
[d] In light of your prior knowledge of and experience with approximation algorithms for BPP, provide a reasonable estimate
of the error bound
Transcribed Image Text:[a] Prove that the "Bin Packing Problem" (BPP) is NP-Complete. Like the rest of the exam, you may use online resources but should cite your source and summarize the proof in your own words. [b] Write an approximation algorithm for the online version of BPP that randomly considers up to three partially filled bins, and if none have room, then create a new bin and use that. [c] What modification to your solution in [b] would you recommend to solve the offline version of BPP. [d] In light of your prior knowledge of and experience with approximation algorithms for BPP, provide a reasonable estimate of the error bound
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