## Scatter Search and Path Relinking (1999)

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Citations: | 127 - 29 self |

### BibTeX

@MISC{Glover99scattersearch,

author = {Fred Glover},

title = { Scatter Search and Path Relinking},

year = {1999}

}

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### Abstract

The evolutionary approach called scatter search, and its generalized form called path relinking, originated from strategies for creating composite decision rules and surrogate constraints. Recent studies demonstrate the practical advantages of these approaches for solving a diverse array of optimization problems from both classical and real world settings. Scatter search and path relinking contrast with other evolutionary procedures, such as genetic algorithms, by providing unifying principles for joining solutions based on generalized path constructions (in both Euclidean and neighborhood spaces) and by utilizing strategic designs where other approaches resort to randomization. Additional advantages are provided by intensification and diversification mechanisms that exploit adaptive memory, drawing on foundations that link scatter search and path relinking to tabu search. The goal of this paper is to clarify the connection between these developments in evolutionary methods, and to highlight key ideas and research issues that offer promise of yielding future advances.

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(Show Context)
Citation Context ... separately in the original vectors, (2) take advantage of auxiliary heuristic solution methods to evaluate the combinations produced and to generate new vectors. The original form of scatter search (=-=Glover, 1977-=-) may be sketched as follows. 2 Surrogate constraint methods give rise to a mathematical duality theory associated with their role as relaxation methods for optimization (e.g., see Greenberg and Piers... |

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Citation Context ...solution. In this type of construction a reference structure guides the moves selected to assure that a feasible solution can always be generated by one or more associated trial solutions (see, e.g., =-=Glover, 1992-=-; Rego 1996; Rego and Roucairol, 1996). In these instances the Filter and Fan Method can accordingly be modified to rely on the trial solutions as a basis for evaluating the L-moves generated. The com... |

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Citation Context ...irst consider the creation of paths that join two selected solutions x and x , restricting attention to the part of the path that lies ‘between’ the solutions, producing a solution sequence x = x(l),x=-=(2)-=-,. . . ,x(r) = x . To reduce the number of options to be considered, the solution x(i + 1) may be created from x(i) at each step by choosing a move that leaves a reduced number of moves remaining to r... |

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(Show Context)
Citation Context ... to a mathematical duality theory associated with their role as relaxation methods for optimization (e.g., see Greenberg and Pierskalla, 1970, 1973; Glover, 1965, 1975; Karwan and Rardin, 1976, 1979; =-=Freville and Plateau, 1986-=-, 1993).5 Scatter Search Procedure 1. Generate a starting set of solution vectors by heuristic processes designed for the problem considered, and designate a subset of the best vectors to be referenc... |

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Citation Context ...s follows. 2 Surrogate constraint methods give rise to a mathematical duality theory associated with their role as relaxation methods for optimization (e.g., see Greenberg and Pierskalla, 1970, 1973; =-=Glover, 1965-=-, 1975; Karwan and Rardin, 1976, 1979; Freville and Plateau, 1986, 1993).5 Scatter Search Procedure 1. Generate a starting set of solution vectors by heuristic processes designed for the problem cons... |

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(Show Context)
Citation Context ...g may be viewed as evolutionary algorithms that construct solutions by combining others, and derive their foundations from strategies originally proposed for combining decision rules and constraints (=-=Glover, 1963-=-, 1965). The goal of these procedures is to enable a solution procedure based on the combined elements to yield better solutions than one based only on the original elements. Historically, the anteced... |

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(Show Context)
Citation Context ...te constraint methods give rise to a mathematical duality theory associated with their role as relaxation methods for optimization (e.g., see Greenberg and Pierskalla, 1970, 1973; Glover, 1965, 1975; =-=Karwan and Rardin, 1976-=-, 1979; Freville and Plateau, 1986, 1993).5 Scatter Search Procedure 1. Generate a starting set of solution vectors by heuristic processes designed for the problem considered, and designate a subset ... |

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