Microfluidic biochips have been recently proposed to integrate all the necessary functions for biochemical analysis. There are several types of microfluidic biochips; among them there has been a great interest in flow-based microfluidic biochips, in which the flow of liquid is manipulated using integrated microvalves. By combining several microvalves, more complex resource units such as micropumps, switches and mixers can be built. For efficient execution, the flow of liquid routes in microfluidic biochips needs to be scheduled under some resource constraints or routing constraints. The execution time of the biochemical operations depends on the binding and scheduling results. The most previously developed binding and scheduling algorithms are based on heuristics, and there has been no method to obtain optimal results. Considering the above, this paper proposes an optimal method by casting the problem to a clique problem.
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