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A time-free uniform solution to subset sum problem by tissue P systems with cell division

Published online by Cambridge University Press:  27 February 2015

BOSHENG SONG ,
TAO SONG  and
LINQIANG PAN Open the ORCID record for LINQIANG PAN [Opens in a new window]
BOSHENG SONG
Affiliation:
Key Laboratory of Image Information Processing and Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China Email: lqpan@mail.hust.edu.cn Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain
TAO SONG
Affiliation:
Key Laboratory of Image Information Processing and Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China Email: lqpan@mail.hust.edu.cn
LINQIANG PAN
Affiliation:
Key Laboratory of Image Information Processing and Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China Email: lqpan@mail.hust.edu.cn
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Abstract

Tissue P systems are a class of bio-inspired computing models motivated by biochemical interactions between cells in a tissue-like arrangement. Tissue P systems with cell division offer a theoretical device to generate an exponentially growing structure in order to solve computationally hard problems efficiently with the assumption that there exists a global clock to mark the time for the system, the execution of each rule is completed in exactly one time unit. Actually, the execution time of different biochemical reactions in cells depends on many uncertain factors. In this work, with this biological inspiration, we remove the restriction on the execution time of each rule, and the computational efficiency of tissue P systems with cell division is investigated. Specifically, we solve subset sum problem by tissue P systems with cell division in a time-free manner in the sense that the correctness of the solution to the problem does not depend on the execution time of the involved rules.

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Paper
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Mathematical Structures in Computer Science , Volume 27 , Issue 1 , January 2017 , pp. 17 - 32
Copyright
Copyright © Cambridge University Press 2015 

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