Performance Evaluation of Nomadic Lévy Walk on Unit Disk Graphs Using Hierarchical Clustering

Levy walk has attracted attention to its search efficiency. Nomadic Levy Walk is a variant of Homesick Levy Walk, which has homing behavior in addition to the trajectory of Levy Walk. In this walk pattern, each agent relocates its home (sink) position based on some particular strategy with a given probability. In this paper, we propose a novel strategy of relocating the sink using the UPGMA hierarchical clustering method for Nomadic Levy Walk and evaluate it regarding search efficiency by measuring the coverage of a graph.

[1]  Robert R. Sokal,et al.  A statistical method for evaluating systematic relationships , 1958 .

[2]  Xin-She Yang,et al.  Firefly Algorithm, Lévy Flights and Global Optimization , 2010, SGAI Conf..

[3]  Naohiro Hayashibara,et al.  Resource Exploration Using Levy Walk on Unit Disk Graphs , 2018, 2018 IEEE 32nd International Conference on Advanced Information Networking and Applications (AINA).

[4]  Uday B. Desai,et al.  Novel Sampling Algorithm for Human Mobility-Based Mobile Phone Sensing , 2015, IEEE Internet of Things Journal.

[5]  P. A. Prince,et al.  Lévy flight search patterns of wandering albatrosses , 1996, Nature.

[6]  Jennifer L. Welch,et al.  Random Walk for Self-Stabilizing Group Communication in Ad Hoc Networks , 2006, IEEE Trans. Mob. Comput..

[7]  P. Levy.  Théorie de l'addition des variables aléatoires , 1955 .

[8]  Injong Rhee,et al.  DTN routing strategies using optimal search patterns , 2008, CHANTS '08.

[9]  Krishna Gopal Dhal,et al.  A Chaotic Lévy flight Approach in Bat and Firefly Algorithm for Gray level image Enhancement , 2015 .

[10]  Naohiro Hayashibara,et al.  Target exploration by Nomadic Lévy walk on unit disk graphs , 2020 .

[11]  Naohiro Hayashibara,et al.  Message Dissemination Using Nomadic Lévy Walk on Unit Disk Graphs , 2019, CISIS.

[12]  Kang-Won Lee,et al.  Dynamic Graph Properties of Mobile Networks under Levy Walk Mobility , 2011, 2011 IEEE Eighth International Conference on Mobile Ad-Hoc and Sensor Systems.

[13]  Michalis Faloutsos,et al.  Epidemic Spread in Mobile Ad Hoc Networks: Determining the Tipping Point , 2011, Networking.

[14]  Ayalvadi J. Ganesh,et al.  A random walk model for infection on graphs: spread of epidemics & rumours with mobile agents , 2010, Discret. Event Dyn. Syst..

[15]  Cem Ersoy,et al.  Distributed Mobile Sink Routing for Wireless Sensor Networks: A Survey , 2014, IEEE Communications Surveys & Tutorials.

[16]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[17]  A. M. Edwards,et al.  Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer , 2007, Nature.

[18]  Injong Rhee,et al.  On the levy-walk nature of human mobility , 2011, TNET.

[19]  Akihiro Fujihara,et al.  Homesick Lévy Walk and Optimal Forwarding Criterion of Utility-Based Routing under Sequential Encounters , 2013, Internet of Things and Inter-cooperative Computational Technologies for Collective Intelligence.

[20]  Naohiro Hayashibara,et al.  Message Dissemination Using Lévy Flight on Unit Disk Graphs , 2017, 2017 IEEE 31st International Conference on Advanced Information Networking and Applications (AINA).