@article { author = {Khorsand, Babak and Savadi, Abdorreza and Naghibzadeh, Mahmoud}, title = {Parallelizing Assignment Problem with DNA Strands}, journal = {Iranian Journal of Biotechnology}, volume = {18}, number = {1}, pages = {73-78}, year = {2020}, publisher = {National Institute of Genetic Engineering and Biotechnology of Iran}, issn = {1728-3043}, eissn = {2322-2921}, doi = {10.30498/ijb.2020.195413.2547}, abstract = {Background:Many problems of combinatorial optimization, which are solvable only in exponential time, are known to be Non-Deterministic Polynomial hard (NP-hard). With the advent of parallel machines, new opportunities have been emerged to develop the effective solutions for NP-hard problems. However, solving these problems in polynomial time needs massive parallel machines and is not applicable up to now. Objectives: DNA (Deoxyribonucleic acid) computing provides a fantastic method to solve NP-hard problems in polynomial time. Accordingly, one of the famous NP-hard problems is assignment problem, which is designed to find the best assignment of n jobs to n persons in a way that it could maximize the profit or minimize the cost. Material and Methods: Applying bio molecular operations of Adelman Lipton model, a novel parallel DNA algorithm have been proposed for solving the assignment problem. Results: The proposed algorithm can solve the problem in  time complexity, and just O(n) initial DNA strand in comparison with  initial sequence, which is used by the other methods. Conclusions: In this article, using DNA computing, we proposed a parallel DNA algorithm to solve the assignment problem in linear time.}, keywords = {Adelman Lipton model,assignment,DNA algorithm,DNA computing,Molecular computation}, url = {https://www.ijbiotech.com/article_108035.html}, eprint = {https://www.ijbiotech.com/article_108035_237f4606fc34bd8ff1877431d4a32cd7.pdf} }