Matrix columns allocation problems

Amos Beimel, Boaz Ben-Moshe, Yehuda Ben-Shimol, Paz Carmi, Eldad Chai, Itzik Kitroser, Eran Omri

Research output: Contribution to journalArticlepeer-review


Orthogonal Frequency Division Multiple Access (OFDMA) transmission technique is gaining popularity as a preferred technique in the emerging broadband wireless access standards. Motivated by the OFDMA transmission technique we define the following problem: Let M be a matrix (over R) of size a × b. Given a vector of non-negative integers over(C, →) = 〈 c1, c2, ..., cb 〉 such that ∑ cj = a, we would like to allocate a cells in M such that (i) in each row of M there is a single allocation, and (ii) for each element ci ∈ over(C, →) there is a unique column in M which contains exactly ci allocations. Our goal is to find an allocation with minimal value, that is, the sum of all the a cells of M which were allocated is minimal. The nature of the suggested new problem is investigated in this paper. Efficient algorithms are suggested for some interesting cases. For other cases of the problem, NP-hardness proofs are given followed by inapproximability results.

Original languageEnglish
Pages (from-to)2174-2183
Number of pages10
JournalTheoretical Computer Science
Issue number21-23
StatePublished - 17 May 2009


  • Allocation problems
  • NP-completeness
  • inapproximability

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)


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