Results 41 to 50 of about 243,465 (164)

Reformulating mixed-integer quadratically constrained quadratic programs [PDF]

open access: yes, 2011
It is well known that semidefinite programming (SDP) can be used to derive useful relaxations for a variety of optimisation problems. Moreover, in the particular case of mixed-integer quadratic programs, SDP has been used to reformulate problems, rather ...
Galli, L, Letchford, A. N.
core  

A primal (all-integer) integer programming algorithm

open access: yes, 1965
The algorithm is most closely related to three existing procedures: the simplex method of G. B. Dantzig for linear programming problems, the Gomory all-integer integer programming algorithm, and the direct algorithm for integer programming of Ben-Israel ...
Young, Richard D.
core   +1 more source

A decomposition approach for integrated locomotive scheduling and driver assignment in rail freight transport

open access: yesEURO Journal on Transportation and Logistics
In this work, we consider the integrated problem of locomotive scheduling and driver assignment in rail freight companies. Our aim is to compute an optimal simultaneous assignment of locomotives and drivers to the trains listed in a given order-book ...
Andreas Bärmann   +2 more
doaj   +1 more source

Comparative Study of Integer and Non-Integer Order Models of Synchronous Generator

open access: yesEnergies, 2020
This article presents a comparison between integer and non-integer order modelling of a synchronous generator, in the frequency domain as well as in the time domain. The classical integer order model was compared to one containing half-order systems. The
Szymon Racewicz   +3 more
doaj   +1 more source

Verifying Sierpiński and Riesel Numbers in ACL2 [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2011
A Sierpinski number is an odd positive integer, k, such that no positive integer of the form k * 2^n + 1 is prime. Similar to a Sierpinski number, a Riesel number is an odd positive integer, k, such that no positive integer of the form k * 2^n + 1 is ...
John R. Cowles, Ruben Gamboa
doaj   +1 more source

Two row mixed integer cuts via lifting [PDF]

open access: yes
Recently, Andersen et al. [1], Borozan and Cornuéjols [6] and Cornuéjols and Margot [9] characterized extreme inequalities of a system of two rows with two free integer variables and nonnegative continuous variables.
WOLSEY, Laurence A., SANTANU, Dey
core  

Cutting plane methods for general integer programming

open access: yes, 1993
Integer programming (IP) problems are difficult to solve due to the integer restrictions imposed on them. A technique for solving these problems is the cutting plane method.
Mitra, G   +5 more
core  

Binary positive semidefinite matrices and associated integer polytopes [PDF]

open access: yes, 2010
We consider the positive semidefinite (psd) matrices with binary entries, along with the corresponding integer polytopes.We begin by establishing some basic properties of these matrices and polytopes.
Sorensen, M M   +3 more
core  

An elementary proof of Fermat’s last theorem for all even exponents

open access: yesJournal of Mathematical Cryptology, 2020
An elementary proof that the equation x2n + y2n = z2n can not have any non-zero positive integer solutions when n is an integer ≥ 2 is presented. To prove that the equation has no integer solutions it is first hypothesized that the equation has integer ...
Karmakar Sudhangshu B.
doaj   +1 more source

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