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Biobjective combinatorial optimization and the TSP with profits


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  • Product Description

Bi-objective combinatorial optimization (BOCO) deals with mathematical programming models where two competing objectives have to be minimised subject to constraints. A number of real world applications may be cast in this setting, where the objective and constraint functions are linear and the variables are binary. In a BOCO problem usually there is no solution that simultaneously minimise both objectives, so it is necessary to describe a set of Pareto optimal solutions, or solutions such that it is not possible to improve one objective without worsening the other. In this work we review the exact, heuristic and approximated methods developed to date for the construction of the Pareto optimal set in BOCO problems. Emphasis is given to exact and to approximate methods where a subset of the exact set of Pareto optimal solutions is given. We apply all the analysed methods to a hard BOCO problem: the Traveling Salesman Problem with Profits (TSPP). Specific approaches for the TSPP on graphs with special metrics and/or with time windows are also discussed. Finally, the approaches studied are suggested as a methodology to face a case study connecting Medicine and Computer Science.

Product Specifications
SKU :COC24360
AuthorElisa Stevanato,Gaetano Zanghirati and Carlo Filippi
Number of Pages236
Publishing Year8/27/2012
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00