Abstract
Set covering is a well-known problem in combinatorial optimization. The objective is to cover a set of elements, called the universe, using a minimum number of available covers. The theoretical problem is known to be generally NP-difficult to solve [1], and is often encountered in industrial processes and real-life problem. In particular, the mathematical formulation of the set cover problem is well-suited for radar search pattern optimization of modern radar systems.
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References
Vazirani VV (2001) Approximation algorithms. Springer, New York
Briheche Y, Barbaresco F, Bennis F, Chablat D, Gosselin F (2016) Non-uniform constrained optimization of radar search patterns in direction cosines space using integer programming. In: 2016 17th International Radar Symposium (IRS)
Yelbay B, Birbil Şİ, Bülbül K (2015) The set covering problem revisited: an empirical study of the value of dual information. J Ind Manag Optim 11(2):575–594
Matouek J, Gärtner B (2006) Understanding and using linear programming (universitext). Springer, New York/Secaucus
Nemhauser GL, Wolsey LA (1988) Integer and combinatorial optimization. Wiley-Interscience, New York
Briheche Y, Barbaresco F, Bennis F, Chablat D (2018) Theoretical complexity of grid cover problems used in radar applications. J Optim Theory Appl 179(3):1086–1106 [Online]. https://doi.org/10.1007/s10957-018-1354-x
Conforti M, Cornuejols G, Zambelli G (2014) Integer programming. Springer Publishing Company, Incorporated
Skolnik M (2008) Radar handbook, 3rd edn. McGraw-Hill Education, New York
IBM ILOG CPLEX Optimization Studio, v12.6 (2015) http://www-03.ibm.com/software/products/en/ibmilogcplestud/
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This work is partly supported by a DGA-MRIS scholarship.
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Briheche, Y., Barbaresco, F., Bennis, F., Chablat, D. (2020). Branch-and-Bound Method for Just-in-Time Optimization of Radar Search Patterns. In: Bennis, F., Bhattacharjya, R. (eds) Nature-Inspired Methods for Metaheuristics Optimization. Modeling and Optimization in Science and Technologies, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-26458-1_25
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