A polynomial algorithm for packing unit squares in a hypograph of a piecewise linear function

Author:

Arslanov Marat1,Amirgalieva Zhazira1,Kenshimov Chingiz1

Affiliation:

1. Institute of information and computation technologies, Almaty, 050010, Pushkin str.125, Kazakhstan

Abstract

AbstractWe consider the problem of packing the maximal number of unit squares in a hypograph of a function. A polynomial time algorithm is described to solve this problem for a piecewise linear function.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Mechanical Engineering,Aerospace Engineering,General Materials Science,Civil and Structural Engineering,Environmental Engineering

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