STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH
In this paper we study structural properties and properties of maximal paths of the hot rolling batches precedence graph. The hot rolling batches precedence graph arises in the problem of planning and scheduling of a hot strip mill load. Slab batches are selected and sequenced in turns. Basic techno...
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Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
2016-08-01
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doaj-ea0e81455340426d9d8b021ddd2c13102020-11-24T21:39:03ZengKrasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. Ural Mathematical Journal2414-39522016-08-012110.15826/umj.2016.1.00214STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPHAnton A. Berezin0Svetlana I. Leonova1Igor A. Vakula2Krasovskii Institute of Mathematics and Mechanics, EkaterinburgKrasovskii Institute of Mathematics and Mechanics, EkaterinburgKrasovskii Institute of Mathematics and Mechanics, EkaterinburgIn this paper we study structural properties and properties of maximal paths of the hot rolling batches precedence graph. The hot rolling batches precedence graph arises in the problem of planning and scheduling of a hot strip mill load. Slab batches are selected and sequenced in turns. Basic technological restrictions on batch sequencing in turns are represented by the rolling batches precedence graph. Some fundamental structural properties of this graphs are stated such as the local block structure and the maximal paths structure. Motivation and overview of the result application potential are also provided.https://umjuran.ru/index.php/umj/article/view/43Hot rolling planning, Precedence graf, Graph structure, Local block structure, Maximal paths |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Anton A. Berezin Svetlana I. Leonova Igor A. Vakula |
spellingShingle |
Anton A. Berezin Svetlana I. Leonova Igor A. Vakula STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH Ural Mathematical Journal Hot rolling planning, Precedence graf, Graph structure, Local block structure, Maximal paths |
author_facet |
Anton A. Berezin Svetlana I. Leonova Igor A. Vakula |
author_sort |
Anton A. Berezin |
title |
STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH |
title_short |
STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH |
title_full |
STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH |
title_fullStr |
STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH |
title_full_unstemmed |
STRUCTURAL AND EXTREMAL PROPERTIES OF THE HOT ROLLING BATCHES PRECEDENCE GRAPH |
title_sort |
structural and extremal properties of the hot rolling batches precedence graph |
publisher |
Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. |
series |
Ural Mathematical Journal |
issn |
2414-3952 |
publishDate |
2016-08-01 |
description |
In this paper we study structural properties and properties of maximal paths of the hot rolling batches precedence graph. The hot rolling batches precedence graph arises in the problem of planning and scheduling of a hot strip mill load. Slab batches are selected and sequenced in turns. Basic technological restrictions on batch sequencing in turns are represented by the rolling batches precedence graph. Some fundamental structural properties of this graphs are stated such as the local block structure and the maximal paths structure. Motivation and overview of the result application potential are also provided. |
topic |
Hot rolling planning, Precedence graf, Graph structure, Local block structure, Maximal paths |
url |
https://umjuran.ru/index.php/umj/article/view/43 |
work_keys_str_mv |
AT antonaberezin structuralandextremalpropertiesofthehotrollingbatchesprecedencegraph AT svetlanaileonova structuralandextremalpropertiesofthehotrollingbatchesprecedencegraph AT igoravakula structuralandextremalpropertiesofthehotrollingbatchesprecedencegraph |
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1725932995312877568 |