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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DNU
2015-02-01
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| Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ |
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| Online Access: | http://model-dnu.dp.ua/index.php/SM/article/view/73 |
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doaj-cec5e56f3192412b9f6dd2c541aa14aa2020-11-24T23:01:59ZengDNUVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ2312-45472415-73252015-02-01238295610.15421/14150373On existence of weak solutions to a Cauchy problem for one class of conservation lawsP. I. Kogut0R. Manzo1Днепропетровский национальный университет имени Олеся ГончараUniversity of Salerno<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>http://model-dnu.dp.ua/index.php/SM/article/view/73conservation laws, clearing functionexistence resultre-entrant systems |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. I. Kogut R. Manzo |
| spellingShingle |
P. I. Kogut R. Manzo On existence of weak solutions to a Cauchy problem for one class of conservation laws Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ conservation laws, clearing function existence result re-entrant systems |
| author_facet |
P. I. Kogut R. Manzo |
| author_sort |
P. I. Kogut |
| title |
On existence of weak solutions to a Cauchy problem for one class of conservation laws |
| title_short |
On existence of weak solutions to a Cauchy problem for one class of conservation laws |
| title_full |
On existence of weak solutions to a Cauchy problem for one class of conservation laws |
| title_fullStr |
On existence of weak solutions to a Cauchy problem for one class of conservation laws |
| title_full_unstemmed |
On existence of weak solutions to a Cauchy problem for one class of conservation laws |
| title_sort |
on existence of weak solutions to a cauchy problem for one class of conservation laws |
| publisher |
DNU |
| series |
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ |
| issn |
2312-4547 2415-7325 |
| publishDate |
2015-02-01 |
| description |
<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> |
| topic |
conservation laws, clearing function existence result re-entrant systems |
| url |
http://model-dnu.dp.ua/index.php/SM/article/view/73 |
| work_keys_str_mv |
AT pikogut onexistenceofweaksolutionstoacauchyproblemforoneclassofconservationlaws AT rmanzo onexistenceofweaksolutionstoacauchyproblemforoneclassofconservationlaws |
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1725637965646921728 |