AbstractAn iterative method for zero-one minimization of integer polynomials, linear in each variable, is outlined. It is based on Camion's method of binary developments with computations using multiplication and sum mod 2. The method is straightforward, does not require any branching or solving of intequalities, but, as with any Boolean method, may involve storage and retrieval problems. A general formula is derived which may serve as a basis for a more direct approach
AbstractIt is proved that any pseudo-Boolean function f can be represented as f(x)≡z+φ(x,x̄), where ...
abstract (preface): mathematical programming deals with the optimization of a given function under c...
The object of research is the method of figurative transformations for Boolean functions minimizatio...
AbstractAn iterative method for zero-one minimization of integer polynomials, linear in each variabl...
AbstractIt is proved that any pseudo-Boolean function f can be represented as f(x)≡z+φ(x,x̄), where ...
AbstractThe basic algorithm of pseudo-Boolean programming due to Hammer and Rudeanu allows to minimi...
Polynomial unconstrained optimization problems in binary variables (PUBO) are notoriously hard to so...
A pseudo-Boolean function is a real-valued function f(x)=f(x_1,x_2,...,x_n) of n binary variables; t...
International audienceWe investigate various solution approaches for the uncon-strained minimization...
We develop a polynomial-time algorithm to minimize pseudo-Boolean functions. The computational compl...
AbstractThis survey examines the state of the art of a variety of problems related to pseudo-Boolean...
A pseudo-Boolean function is a real-valued function f(x) = f(x1; x2; : : : ; xn) of n binary variabl...
We consider the problem of minimizing an arbitrary pseudo-Boolean function f(x), that is, a real-val...
We consider the problem of minimizing an arbitrary pseudo-Boolean function f(x), that is, a real-val...
A pseudo-Boolean function is a real-valued function f(x) = f(x1; x2; : : : ; xn) of n binary variabl...
AbstractIt is proved that any pseudo-Boolean function f can be represented as f(x)≡z+φ(x,x̄), where ...
abstract (preface): mathematical programming deals with the optimization of a given function under c...
The object of research is the method of figurative transformations for Boolean functions minimizatio...
AbstractAn iterative method for zero-one minimization of integer polynomials, linear in each variabl...
AbstractIt is proved that any pseudo-Boolean function f can be represented as f(x)≡z+φ(x,x̄), where ...
AbstractThe basic algorithm of pseudo-Boolean programming due to Hammer and Rudeanu allows to minimi...
Polynomial unconstrained optimization problems in binary variables (PUBO) are notoriously hard to so...
A pseudo-Boolean function is a real-valued function f(x)=f(x_1,x_2,...,x_n) of n binary variables; t...
International audienceWe investigate various solution approaches for the uncon-strained minimization...
We develop a polynomial-time algorithm to minimize pseudo-Boolean functions. The computational compl...
AbstractThis survey examines the state of the art of a variety of problems related to pseudo-Boolean...
A pseudo-Boolean function is a real-valued function f(x) = f(x1; x2; : : : ; xn) of n binary variabl...
We consider the problem of minimizing an arbitrary pseudo-Boolean function f(x), that is, a real-val...
We consider the problem of minimizing an arbitrary pseudo-Boolean function f(x), that is, a real-val...
A pseudo-Boolean function is a real-valued function f(x) = f(x1; x2; : : : ; xn) of n binary variabl...
AbstractIt is proved that any pseudo-Boolean function f can be represented as f(x)≡z+φ(x,x̄), where ...
abstract (preface): mathematical programming deals with the optimization of a given function under c...
The object of research is the method of figurative transformations for Boolean functions minimizatio...