Bogdanowicz, Zbigniew R.; Herc, George H. Advanced optimization framework for air ground persistent surveillance using unmanned vehicles. (English) Zbl 1211.80045 Far East J. Math. Sci. (FJMS) 49, No. 2, 121-145 (2011). Summary: Unmanned Aerial Vehicles (UAVs) and Ground Vehicles (UGVs) are playing an increasingly important role in the surveillance and monitoring of the enemy’s territory in today’s conflicts and military operations. It is projected that in the future such activities will dominate surveillance by eliminating human casualties, and at the same time enhancing the quality of such operations. In this work we consider optimization of the UAV/UGV fleet loitering pattern to maximize the coverage of a given hostile region in a persistent way. This work should also have high relevance to homeland security of a particular country for persistent surveillance of the given area of interest (e.g., border patrol). MSC: 80M50 Optimization problems in thermodynamics and heat transfer 90C27 Combinatorial optimization 90C31 Sensitivity, stability, parametric optimization 76N25 Flow control and optimization for compressible fluids and gas dynamics Keywords:cycle; balanced digraph; simple cycle; enumeration; Eulerian cycle PDFBibTeX XMLCite \textit{Z. R. Bogdanowicz} and \textit{G. H. Herc}, Far East J. Math. Sci. (FJMS) 49, No. 2, 121--145 (2011; Zbl 1211.80045) Full Text: Link