DNA Computation for a Category of Special Integer Planning Problem

DNA computation based on the theory of biochemical reactions has better performance in solving a class of intractable computational problems, especially the NP-complete problems, than traditional computing methods based on the current silicon computers, so it is of great importance to study the DNA computation. The new concepts such as rank of constraint equation group and three kinds of constraint complement links of constraint equation group are proposed, and according to those concepts and on the basis of the method of fluorescence-labeling in the surface-based approach to DNA computation, a novel algorithm based on DNA computation is designed, which solves the problem of optimal solutions to a category of special integer planning. By using the fluorescence-quenching technique to eliminate false solutions from all the possible solutions to the given integer-planning problem, the new algorithm can identify all of the feasible solutons, and then, can obtain all the optimal solutions to the given integer-planning problem by comparing the target-function's value of those feasible solutions. Analyses show that, the new algorithm has some good characteristics such as simple encoding, low cost and short operating time, etc.