Probabilistic Properties of Near-Optimal Trajectories of an Agent Moving Over a Lattice

Alexander Kuznetsov (), Elina Shishkina () and Sergey Sitnik ()
Additional contact information
Alexander Kuznetsov: Voronezh State University
Elina Shishkina: Voronezh State University
Sergey Sitnik: Belgorod National Research University

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 2, No 14, 768-784

Abstract: Abstract The paper considers probabilistic properties of the trajectory of a moving agent. The agent finds a route close to the optimal one on a lattice consisting of cells with different impassabilities. We study the distribution of the agent’s exit time to the end point for random landscapes of different types using a special sort of simulation. After that, we compare the obtained empirical probability density function with the probability density function derived from theoretical considerations. We also obtain the probability density function for the ratio of Rician and uniform random variables. Finally, the probability distribution of the agent’s residence in a given cell at a given moment of time for random landscapes of different types is analyzed.

Keywords: Agents; Lattice; Pathfinding; Brownian bridge; Rician distribution; Extreme values distribution; 49J55; 49M30; 37B15 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-018-1374-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:182:y:2019:i:2:d:10.1007_s10957-018-1374-6

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-018-1374-6

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().