Volume 8 Number 12 ( Dec. 2013)
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JSW 2013 Vol.8(12): 3088-3095 ISSN: 1796-217X
doi: 10.4304/jsw.8.12.3088-3095

Formalization of Distributed and Dynamic Resources Allocation Using Category Theory

Zhen Youa1, 2, Jinyun Xuea1, 2, Ying Shi2, Dongming Jiang2, Qimin Hu1

1Provincial Key Laboratory for High-Performance Computing Technology, Jiangxi Normal University, Nanchang, 330022, China
2State Key Laboratory of Software Engineering, Wuhan University, Wuhan, 430072, China

Abstract—Distribution and dynamics are the main characteristics of resource allocation problem. Despite the variety of approaches and models proposed for the problem, a systematic formalization and a general solution strategy are missing. This paper takes a step towards this goal by proposing a categorical formalization of resource allocation, which not only represents both distributed and dynamic features, but also formally prove the properties of symmetry, safety(non-deadlock), liveness(non-starvation) and concurrency. The application to the wireless sensor networks demonstrates the practicability of our formal model and emphasizes the strengths of category theory – its simple theory, abstract mechanism, diagrammatical representation and its expressive power in representing and reasoning many concepts of computer science.

Index Terms—Resource Allocation, Category Theory, Formal Model, Wireless Sensor Networks.

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Cite: Zhen Youa, Jinyun Xuea, Ying Shi, Dongming Jiang, Qimin Hu, "Formalization of Distributed and Dynamic Resources Allocation Using Category Theory," Journal of Software vol. 8, no. 12, pp. 3088-3095, 2013.

General Information

ISSN: 1796-217X (Online)
Frequency:  Quarterly
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, CNKIGoogle Scholar, ProQuest, INSPEC(IET), ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
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