Zigzag inequalities:a new class of facet-inducing inequalities for Arc Routing Problems

[EN] In this paper we introduce a new class of facet-inducing inequalities for the Windy Rural Postman Problem and the Windy General Routing Problem. These inequalities are called Zigzag inequalities because they cut off fractional solutions containing a zigzag associated with variables with 0.5 val...

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Detalhes bibliográficos
Autores: Corberán, A., Plana, I., Sanchís Llopis, José María|||0000-0002-0039-8122
Formato: artículo
Fecha de publicación:2006
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/150683
Acesso em linha:https://riunet.upv.es/handle/10251/150683
Access Level:acceso abierto
Palavra-chave:Polyhedral Combinatorics
Facets
Arc Routing
Windy Rural Postman Problem
Windy General Routing Problem
Mixed Rural Postman Problem
MATEMATICA APLICADA
Descrição
Resumo:[EN] In this paper we introduce a new class of facet-inducing inequalities for the Windy Rural Postman Problem and the Windy General Routing Problem. These inequalities are called Zigzag inequalities because they cut off fractional solutions containing a zigzag associated with variables with 0.5 value. Two different types of inequalities, the Odd Zigzag and the Even Zigzag inequalities, are presented. Finally, their application to other known Arc Routing Problems is discussed.