Abstract：
:The unbalanced assignment problem (UAP) is to optimally resolve the problem of assigning n jobs to m individuals (m < n), such that minimum cost or maximum profit obtained. It is a vitally important Non-deterministic Polynomial (NP) complete problem in operation management and applied mathematics, having numerous real life applications. In this paper, we present a new parallel DNA algorithm for solving the unbalanced assignment problem using DNA molecular operations. We reasonably design flexible-length DNA strands representing different jobs and individuals, take appropriate steps, and get the solutions of the UAP in the proper length range and O(mn) time. We extend the application of DNA molecular operations and simultaneity to simplify the complexity of the computation.
journal_name
Int J Mol Scijournal_title
International journal of molecular sciencesauthors
Wang Z,Pu J,Cao L,Tan Jdoi
10.3390/ijms161025338subject
Has Abstractpub_date
2015-10-23 00:00:00pages
25338-52issue
10issn
1422-0067pii
ijms161025338journal_volume
16pub_type
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