The relationship between randomness and power-law distributed move lengths in random walk algorithms

作者：Sakiyama Tomoko^*; Gunji Yukio Pegio

来源：Physica A: Statistical Mechanics and Its Applications , 2014, 402: 76-83.

DOI：10.1016/j.physa.2014.01.060

• Optimal strategy
• Random walk
• Randomness
• Power-law

Recently, we proposed a new random walk algorithm, termed the REV algorithm, in which the agent alters the directional rule that governs it using the most recent four random numbers. Here, we examined how a non-bounded number, i.e., "randomness" regarding move direction, was important for optimal searching and power-law distributed step lengths in rule change. We proposed two algorithms: the REV and REV-bounded algorithms. In the REV algorithm, one of the four random numbers used to change the rule is non-bounded. In contrast, all four random numbers in the REV-bounded algorithm are bounded. We showed that the REV algorithm exhibited more consistent power-law ;distributed step lengths and flexible searching behavior.

• 出版日期2014-5-15