A Method for Binary Quadratic Programming with circulant matrix
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2024-01-26 09:19
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ISTRATI, Daniela, MORARU, Vasile, ZAPOROJAN, Sergiu. A Method for Binary Quadratic Programming with circulant matrix. In: Electronics, Communications and Computing, Ed. 12, 20-21 octombrie 2022, Chişinău. Chișinău: Tehnica-UTM, 2023, Editia 12, pp. 154-157. DOI: https://doi.org/10.52326/ic-ecco.2022/CS.01
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Electronics, Communications and Computing
Editia 12, 2023
Conferința "Electronics, Communications and Computing"
12, Chişinău, Moldova, 20-21 octombrie 2022

A Method for Binary Quadratic Programming with circulant matrix

DOI:https://doi.org/10.52326/ic-ecco.2022/CS.01

Pag. 154-157

Istrati Daniela, Moraru Vasile, Zaporojan Sergiu
 
Technical University of Moldova
 
 
Disponibil în IBN: 3 aprilie 2023


Rezumat

Binary quadratic programming is a classical combinatorial optimization problem that has many real-world applications. This paper presents a method for solving the quadratic programming problem with circulant matrix by reformulating and relaxing it into a separable optimization problem. The proposed method determines local suboptimal solutions. To solve the relaxing problem, the DCA algorithm it is proposed to calculate the solutions, in the general case, only local suboptimal.

Cuvinte-cheie
Binary nonconvex quadratic problems, circulant matrix, Fourier matrix, separable programming, relaxed problem, DC algorithm