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The Chinese Postman Problem Based on the Probe Machine Model

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Book cover Bio-inspired Computing: Theories and Applications (BIC-TA 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 952))

Abstract

The probe machine model is a new computational model. Its computation depends only on DNA molecules, and it is a parallel computing model from the bottom. Its data placement is nonlinear and combined with the parallelism of biochemical reactions, which greatly improves the effective computing power of the model. The Chinese postman problem is a NP complete problem in combinatorial optimization. In this paper, we will try to solve this problem by using the probe machine model, so as to improve the effectiveness of the problem computation. The postman problem is corresponded to a connected graph G. According to the vertex construct data cell and connection probe, and put it into the computing platform. After the calculation, the solution of the problem is detected by the detector. It is the smallest weight sum of the generalized Euler closure. This model shows the superiority and versatility of the probe machine model compared with other computing models.

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Acknowledgment

This project is supported by National Natural Science Foundation of China (No. 61702008, No. 61672001) and Anhui Provincial Natural Science Foundation (No. 1808085MF193).

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Correspondence to Jing Yang .

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Yang, J., Yin, Z., Cui, J., Zhang, Q., Tang, Z. (2018). The Chinese Postman Problem Based on the Probe Machine Model. In: Qiao, J., et al. Bio-inspired Computing: Theories and Applications. BIC-TA 2018. Communications in Computer and Information Science, vol 952. Springer, Singapore. https://doi.org/10.1007/978-981-13-2829-9_6

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  • DOI: https://doi.org/10.1007/978-981-13-2829-9_6

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2828-2

  • Online ISBN: 978-981-13-2829-9

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