Cutting path as a Rural Postman Problem: solutions by Memetic Algorithms

The Rural Postman Problem (RPP) is a particular Arc Routing Problem (ARP) which consists of determining a minimum cost circuit on a graph so that a given subset of required edges is traversed. The RPP is an NP-hard problem with significant real-life applications. This paper introduces an original ap...

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Detalhes bibliográficos
Autor principal: Ana Maria Rodrigues (author)
Outros Autores: José Soeiro Ferreira (author)
Formato: article
Idioma:eng
Publicado em: 2012
Assuntos:
Texto completo:https://hdl.handle.net/10216/57210
País:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/57210
Descrição
Resumo:The Rural Postman Problem (RPP) is a particular Arc Routing Problem (ARP) which consists of determining a minimum cost circuit on a graph so that a given subset of required edges is traversed. The RPP is an NP-hard problem with significant real-life applications. This paper introduces an original approach based on Memetic Algorithms - the MARP algorithm - to solve the RPP and, also deals with an interesting Industrial Application, which focuses on the path optimization for component cutting operations. Memetic Algorithms are a class of Metaheuristics which may be seen as a population strategy that involves cooperation and competition processes between population elements and integrates "social knowledge", using a local search procedure. The MARP algorithm is tested with different groups of instances and the results are compared with those gathered from other publications. MARP is also used in the context of various real-life applications.