2015
DOI: 10.3390/ijms161025338
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A Parallel Biological Optimization Algorithm to Solve the Unbalanced Assignment Problem Based on DNA Molecular Computing

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 st… Show more

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Cited by 12 publications
(4 citation statements)
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References 30 publications
(42 reference statements)
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“…rough different operation and control technologies for DNA molecules, new algorithms can be formed to provide strong technical support for many problems without effective solutions [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. For the Chinese postman problem, with the increase of data volume and scale, the traditional algorithm will be more difficult to solve it.…”
Section: Biocomputing and Modelingmentioning
confidence: 99%
“…rough different operation and control technologies for DNA molecules, new algorithms can be formed to provide strong technical support for many problems without effective solutions [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. For the Chinese postman problem, with the increase of data volume and scale, the traditional algorithm will be more difficult to solve it.…”
Section: Biocomputing and Modelingmentioning
confidence: 99%
“…e bases of the genetic algorithm for solving the optimal maintenance strategy of PV plants are as follows: First, the genetic algorithm solves various TSP problems with many results [22][23][24] and is mature and reliable. Second, the genetic algorithm satisfies the solution of different problems; for instances, the problem of multipoint departure and multiperson operation and maintenance can be assigned by adjusting the chromosome coding method, and the operation and maintenance strategy with uncertain time constraints and cost calculation methods can be made by adjusting the fitness function.…”
Section: Optimization Algorithm Of Maintainers Dispatchingmentioning
confidence: 99%
“…Jia et al [36] presented several heuristics for P r j , s j , p − batch, K i C max (the problem where jobs have different release times) and evaluated the validity of the heuristics by computational experiments. Other methods have also been proposed in the literature [42][43][44][45][46][47][48][49][50][51][52][53].…”
Section: Literature Reviewmentioning
confidence: 99%