A faster algorithm for the resource allocation problem with convex cost functions

Cong Shi, Huanan Zhang, Chao Qin

Research output: Contribution to journalArticle

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We revisit the classical resource allocation problem with general convex objective functions, subject to an integer knapsack constraint. This class of problems is fundamental in discrete optimization and arises in a wide variety of applications. In this paper, we propose a novel polynomial-time divide-and-conquer algorithm (called the multi-phase algorithm) and prove that it has a computational complexity of O(nlog nlog N), which outperforms the best known polynomial-time algorithm with O(n(log N)2).

Original languageEnglish (US)
Pages (from-to)137-146
Number of pages10
JournalJournal of Discrete Algorithms
Publication statusPublished - Sep 1 2015


All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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