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Scatter Search (SS)
The scatter search (SS) methodology was first
introduced in 1977 by Fred Glover and extensive
contribution have been made by Manuel Laguna.
Glover described the scatter search as a method
that uses a succession of coordinated initializations
to generate solutions. He introduced the reference
set (RefSet) of solutions. The search takes place in a
systematic way as oppose to the random designs of
other methods such as Genetic Algorithm. Glover et
al. (1995) described SS as a link between early Tabu
Search and Genetic Algorithm ideas.
The book by Laguna and Marti (2003) covers standard
implementations of basic and advanced SS designs. They
introduce C code that implements both basic and
advanced search mechanism.
http://www.uv.es/~rmarti/scattersearch
The above website consists of the researches that
have been implemented based on SS.
Path Relinking (PR) methodology is an important
extension of SS.
SS and PR published paper
Number of SS publications
Number of search results
Basic Scatter search design
1. A diversification generating method to generate
a collection of diverse trial solutions, using an
arbitrary trial solution as an input.
2. An improvement method to transform a trial
solution into one or more enhanced trial solutions.
3. A reference set update method to build and
maintain a reference set consisting of the b “best”
solutions (b is no more than 20).
4. A subset generation method to operate on a
reference set, to produce a subset of its solutions as
a basis for creating combined solutions.
5. A solution combination method to transform a
given subset generation method into one or more
combined solution vectors.
Basic scatter search procedure
References
Glover, F., 1977. heuristics for integer programming using
surrogate constraints. Decision Sineces 8, 156-166.
Glover, F., 1995. scatter search and star paths: Beyond the genetic
metaphor. OR spektrum 17, 125-137.
Laguna, M., Marti, R., 2003. Scatter Search Methodology and
implementations in C. Kluwer Academic Publishers.
Marti, R., 2006. Scatter Search-Wellsprings and Challenges.
European Journal of Operational Research 169, 351-358.
Marti, R., Laguna, M., Glover, F., 2006. Principles of scatter search.
European Journal of Operational Research 169, 359-372.

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Scatter search

  • 2. The scatter search (SS) methodology was first introduced in 1977 by Fred Glover and extensive contribution have been made by Manuel Laguna. Glover described the scatter search as a method that uses a succession of coordinated initializations to generate solutions. He introduced the reference set (RefSet) of solutions. The search takes place in a systematic way as oppose to the random designs of other methods such as Genetic Algorithm. Glover et al. (1995) described SS as a link between early Tabu Search and Genetic Algorithm ideas.
  • 3. The book by Laguna and Marti (2003) covers standard implementations of basic and advanced SS designs. They introduce C code that implements both basic and advanced search mechanism. http://www.uv.es/~rmarti/scattersearch The above website consists of the researches that have been implemented based on SS. Path Relinking (PR) methodology is an important extension of SS.
  • 4. SS and PR published paper
  • 5. Number of SS publications Number of search results
  • 6. Basic Scatter search design 1. A diversification generating method to generate a collection of diverse trial solutions, using an arbitrary trial solution as an input. 2. An improvement method to transform a trial solution into one or more enhanced trial solutions. 3. A reference set update method to build and maintain a reference set consisting of the b “best” solutions (b is no more than 20).
  • 7. 4. A subset generation method to operate on a reference set, to produce a subset of its solutions as a basis for creating combined solutions. 5. A solution combination method to transform a given subset generation method into one or more combined solution vectors.
  • 9.
  • 10. References Glover, F., 1977. heuristics for integer programming using surrogate constraints. Decision Sineces 8, 156-166. Glover, F., 1995. scatter search and star paths: Beyond the genetic metaphor. OR spektrum 17, 125-137. Laguna, M., Marti, R., 2003. Scatter Search Methodology and implementations in C. Kluwer Academic Publishers. Marti, R., 2006. Scatter Search-Wellsprings and Challenges. European Journal of Operational Research 169, 351-358. Marti, R., Laguna, M., Glover, F., 2006. Principles of scatter search. European Journal of Operational Research 169, 359-372.