OPTIMAL RANDOM SEARCH, FRACTIONAL DYNAMICS AND FRACTIONAL CALCULUS

被引：0
作者：
Zeng, Caibin [1 ]
Chen, YangQuan [2 ]
机构：
[1] S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China
[2] Univ Calif, Sch Engn, Mechatron Embedded Syst & Automat MESA Lab, Merced, CA 95343 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2013, VOL 4 | 2014年
关键词：
ANOMALOUS DIFFUSION; RANDOM-WALKS; LEVY WALK; PATTERNS; MONKEYS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the Levy flight is the best option to characterize this optimal problem, however; which ignores the understanding and learning abilities of the searcher agents. In the paper we propose the Continuous Time Random Walk (CTRW) optimal search framework and find the optimum for both of search length's and waiting time's distributions. Based on fractional calculus technique, we further derive its master equation to show the mechanism of such complex fractional dynamics. Numerous simulations are provided to illustrate the non-destructive and destructive cases.
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页数：7
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