On existence of weak solutions to a Cauchy problem for one class of conservation laws

<p>We discuss the existence of weak solutions to the Cauchy problem for one class<br />of hyperbolic conservation laws that models a highly re-entrant production system.<br />The output of the factory is described as a function of the work in progress and the<br />position of...

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Bibliographic Details
Main Authors: P. I. Kogut, R. Manzo
Format: Article
Language:English
Published: DNU 2015-02-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ
Subjects:
Online Access:http://model-dnu.dp.ua/index.php/SM/article/view/73
Description
Summary:<p>We discuss the existence of weak solutions to the Cauchy problem for one class<br />of hyperbolic conservation laws that models a highly re-entrant production system.<br />The output of the factory is described as a function of the work in progress and the<br />position of the so-called push-pull point (PPP) where we separate the beginning of<br />the factory employing a push policy from the end of the factory, which uses a pull<br />policy. The main question we discuss in this paper is about the optimal choice of<br />the input in-ux, push and pull constituents, and the position of PPP.</p>
ISSN:2312-4547
2415-7325