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Integer and mixed-integer programming models: General properties

Journal of Optimization Theory and Applications, 1975
It is well known that mixed-integer formulations can be used tomodel important classes of nonconvex functions, such as fixed-charge functions and linear economy-of-scale cost functions. The purpose of this paper is to formulate a rigorous definition of a mixed-integer model of a given function and to study the properties of the functions that can be so
openaire   +1 more source

Generating guitar solos by integer programming

Journal of the Operational Research Society, 2017
In this paper, we present a framework for computer-aided composition (CAC) that uses exact combinatorial optimisation methods to generate guitar solos from a newly proposed data-set of licks over a...
Nailson dos Santos Cunha   +2 more
openaire   +2 more sources

Integer loop code generation for VLIW

1996
Code generation for complex integer loops within the context of a VLIW architecture, has to date, been handled by several disparate methodologies. We provide an empirical study to characterize what a typical complex integer loop is and propose a general solution that optimally modifies the key control dependencies in common integer loops.
James Radigan   +2 more
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A general character to integer conversion method

Software: Practice and Experience, 1985
AbstractMost programs which involve character to integer conversion fail to detect integer overflow correctly. This paper describes some of the pitfalls of not recognizing overflow, and presents a correct method for doing so in an arbitrary base for any precision.
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Consecutive generalized r-free integers in Beatty sequences

Boletin De La Sociedad Matematica Mexicana, 2023
Teerapat Srichan
exaly  

On r-Regular Integers (mod nr)

Symmetry, 2022
Zhefeng Xu, Zhengjin Bu
exaly  

Generalized Universal Coding of Integers

IEEE Transactions on Communications
Wei Yan 0014, Yunghsiang S. Han
openaire   +2 more sources

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