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Adaptive and Multilevel Metaheuristics Read chapter Read first chapter

2018 | OriginalPaper | Chapter

24. Scatter Search

Authors: Rafael Martí, Ángel Corberán, Juanjo Peiró

Published in: Handbook of Heuristics

Publisher: Springer International Publishing

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Abstract

Scatter search (SS) is a population-based metaheuristic that has been shown to yield high-quality outcomes for hard combinatorial optimization problems. It uses strategies for combining solution vectors, making limited use of randomization, that have proved effective in a variety of problem settings. The fundamental concepts and principles were first proposed in the 1960s and 1970s as an extension of mathematical relaxation techniques for combinatorial optimization problems. Its framework is flexible, allowing the development of implementations with varying degrees of sophistication.
This chapter provides a grounding in the scatter search methodology that will allow readers to create successful applications of their own. To illustrate this, we present a scatter search implementation for a \(\mathcal {NP}\)-hard variant of the classic p-hub median problem, for which we describe search elements, mechanisms, and strategies to generate, combine, and improve solutions.
previous chapter Random-Key Genetic Algorithms
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Literature
1.
Martí R (ed) (2006) Scatter search methods for optimization. Volume 169 of feature cluster of the European Journal of Operational Research. Elsevier, Amsterdam
2.
Alkhazaleh HA, Ayob M, Ahmad Z (2013) Scatter search for solving team orienteering problem. Res J Appl Sci 8(3):181–190
3.
Bernardino AM, Bernardino EM, Sánchez-Pérez JM, Gómez-Pulido JA, Vega-Rodríguez MA (2012) Solving sonet problems using a hybrid scatter search algorithm. In: Madani K, Dourado CA, Rosa A, Filipe J (eds) Computational intelligence. Volume 399 of studies in computational intelligence. Springer, Berlin/Heidelberg, pp 81–97
4.
Botón-Fernández M, Vega-Rodríguez MA, Prieto-Castrillo F (2013) An efficient and self-adaptive model based on scatter search: solving the grid resources selection problem. In: Moreno-Díaz R, Pichler F, Quesada-Arencibia A (eds) Computer aided systems theory – EUROCAST 2013. Volume 8111 of lecture notes in computer science. Springer, Berlin/Heidelberg, pp 396–403
5.
Bova N, Ibáñez Ó, Cordón Ó (2013) Image segmentation using extended topological active nets optimized by scatter search. IEEE Comput Intell Mag 8(1):16–32 CrossRef
6.
de Athayde Costa e Silva M, Klein CE, Mariani VC, Dos Santos Coelho L (2013) Multiobjective scatter search approach with new combination scheme applied to solve environmental/economic dispatch problem. Energy 53:14–21
7.
Engin O, Ylmaz MK, Baysal ME, Sarucanl A (2013) Solving fuzzy job shop scheduling problems with availability constraints using a scatter search method. J Multiple-Valued Log Soft Comput 21(3–4):317–334
8.
Ernst AT, Krishnamoorthy M (1996) Efficient algorithms for the uncapacitated single allocation p-hub median problem. Locat Sci 4(3):139–154 CrossRef
9.
Everett H (1963) Generalized Lagrangean multiplier method for solving problems of optimal allocation of resources. Oper Res 11:399–417 CrossRef
10.
11.
Festa P, Resende MGC (2011) Grasp: basic components and enhancements. Telecommun Syst 46(3):253–271 CrossRef
12.
Glover F (1965) A multiphase-dual algorithm for the zero-one integer programming problem. Oper Res 13:879–919 CrossRef
13.
Glover F (1977) Heuristics for integer programming using surrogate constraints. Decis Sci 8(7):156–166 CrossRef
14.
Glover F (1994) Tabu search for nonlinear and parametric optimization with links to genetic algorithms. Discret Appl Math 49(1–3):231–255 MathSciNetCrossRef
15.
Glover F (1998) A template for scatter search and path relinking. In Hao JK, Lutton E, Ronald E, Schoenauer M, Snyers D (eds) Artificial Evolution. Volume 1363 of Lecture Notes in Computer Science. Springer, Berlin/Heidelberg, pp 13–54.
16.
Glover F, Laguna M, Martí R (2000) Fundamentals of scatter search and path relinking. Control Cybern 29(3):652–684 MathSciNetMATH
17.
Guo XW, Liu SX, Wang DZ (2012) Scatter search for solving multi-objective disassembly sequence optimization problems. J Northeast Univ 33(1):56–59 MATH
18.
Habibi MR, Rashidinejad M, Zeinaddini-Meymand M, Fadainejad R (2014) An efficient scatter search algorithm to solve transmission expansion planning problem using a new load shedding index. Int Trans Electr Energy Syst 24(2):153–165 CrossRef
19.
Hariharan R, Golden Renjith Nimal RJ (2014) Solving flow shop scheduling problems using a hybrid genetic scatter search algorithm. Middle East J Sci Res 20(3):328–333
20.
Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor
21.
Hu L, Jiang Y, Zhu J, Chen Y (2013) Hybrid of the scatter search, improved adaptive genetic, and expectation maximization algorithms for phase-type distribution fitting. Appl Math Comput 219(10):5495–5515 MathSciNetMATH
22.
Huacuja HJF, Valdez GC, Rangel RAP, Barbosa JG, Reyes LC, Valadez JMC, Soberanes HJP, Villanueva DT (2012) Scatter search with multiple improvement methods for the linear ordering problem. Malays J Comput Sci 25(2):76–89
23.
Hvattum LM, Duarte A, Glover F, Martí R (2013) Designing effective improvement methods for scatter search: An experimental study on global optimization. Soft Comput 17(1):49–62 CrossRef
24.
Ibáñez O, Cordón O, Damas S, Santamaría J (2012) An advanced scatter search design for skull-face overlay in craniofacial superimposition. Expert Syst Appl 39(1):1459–1473 CrossRef
25.
Jabal-Ameli MS, Moshref-Javadi M (2014) Concurrent cell formation and layout design using scatter search. Int J Adv Manuf Technol 71(1–4):1–22 CrossRef
26.
Jabal-Ameli MS, Moshref-Javadi M, Tabrizi BB, Mohammadi M (2013) Cell formation and layout design with alternative routing: a multi-objective scatter search approach. Int J Ind Syst Eng 14(3):269–295
27.
Jaradat G, Ayob M, Ahmad Z (2014) On the performance of scatter search for post-enrolment course timetabling problems. J Comb Optim 27(3):417–439 MathSciNetCrossRef
28.
Kashefi AH, Meshkin A, Zargoosh M, Zahiri J, Taheri M, Ashtiani S (2013) Scatter-search with support vector machine for prediction of relative solvent accessibility. EXCLI J 12:52–63
29.
Kothari R, Ghosh D (2014) A scatter search algorithm for the single row facility layout problem. J Heuristics 20(2):125–142 CrossRef
30.
Krishnan M, Karthikeyan T, Chinnusamy TR, Venkatesh Raja K (2012) A novel hybrid metaheuristic scatter search-simulated annealing algorithm for solving flexible manufacturing system layout. Eur J Sci Res 73(1):52–61
31.
Laguna M, Gortázar F, Gallego M, Duarte A, Martí R (2014) A black-box scatter search for optimization problems with integer variables. J Glob Optim 58(3):497–516 MathSciNetCrossRef
32.
Laguna M, Martí R (2002) Scatter search: methodology and implementations in C. Kluwer Academic, Norwell MATH
33.
Le Q, Yang G, Hung W, Guo W (2012) Reliable NoC mapping based on scatter search. In: Liu B, Ma M, Chang J (eds) Information computing and applications. Volume 7473 of lecture notes in computer science. Springer, Berlin/Heidelberg, pp 640–647
34.
Le Q, Yang G, Hung WNN, Zhang X, Fan F (2014) A multiobjective scatter search algorithm for fault-tolerant noc mapping optimisation. Int J Electron 101(8):1056–1073 CrossRef
35.
Li J, Prins C, Chu F (2012) A scatter search for a multi-type transshipment point location problem with multicommodity flow. J Intell Manuf 23(4):1103–1117 CrossRef
36.
Li VC, Liang YC, Sun YY, Chen YS (2012) A scatter search method for the multidimensional knapsack problem with generalized upper bound constraints. J Chin Inst Ind Eng 29(8):559–571
37.
Li ZZ, Song XY, Sun JZ, Huang ZT (2012) A scatter search methodology for the aircraft conflict resolution problem. In: Huang D, Jiang C, Bevilacqua V, Figueroa JC (eds) Intelligent computing technology. Volume 7389 of lecture notes in computer science. Springer, Berlin/Heidelberg, pp 18–24
38.
Lin SW, Chen SC (2012) Parameter determination and feature selection for c4.5 algorithm using scatter search approach. Soft Comput 16(1):63–75 CrossRef
39.
Liu Q, Wang WX, Zhu KR, Zhang CY, Rao YQ (2014) Advanced scatter search approach and its application in a sequencing problem of mixed-model assembly lines in a case company. Eng Optim 46(11):1485–1500 MathSciNetCrossRef
40.
Love RF, Morris JG, Wesolowski GO (1988) Facilities location: models and methods. Elsevier, New York MATH
41.
Lv Y, Wang G, Tang L (2014) Scenario-based modeling approach and scatter search algorithm for the stochastic slab allocation problem in steel industry. ISIJ Int 54(6):1324–1333 CrossRef
42.
Martí R, Corberán Á, Peiró J (2015) Scatter search for an uncapacitated p-hub median problem. Comput Oper Res 58(0):53–66 MathSciNetCrossRef
43.
Meymand MZ, Rashidinejad M, Khorasani H, Rahmani M, Mahmoudabadi A (2012) An implementation of modified scatter search algorithm to transmission expansion planning. Turk J Electr Eng Comput Sci 20(Suppl.1):1206–1219
44.
Naderi B, Ruiz R (2014) A scatter search algorithm for the distributed permutation flowshop scheduling problem. Eur J Oper Res 239(2):323–334 MathSciNetCrossRef
45.
O’Kelly ME (1987) A quadratic integer program for the location of interacting hub facilities. Eur J Oper Res 32(3):393–404 MathSciNetCrossRef
46.
Pantrigo JJ, Duarte A (2013) Low-level hybridization of scatter search and particle filter for dynamic TSP solving. In: Alba E, Nakib A, Siarry P (eds) Metaheuristics for dynamic optimization. Volume 433 of studies in computational intelligence. Springer, Berlin/Heidelberg, pp 291–308
47.
Pantrigo JJ, Martí R, Duarte A, Pardo EG (2012) Scatter search for the cutwidth minimization problem. Ann Oper Res 199(1):285–304 MathSciNetCrossRef
48.
Peiró J, Corberán A, Martí R (2014) GRASP for the uncapacitated r-allocation p-hub median problem. Comput Oper Res 43(1):50–60 MathSciNetCrossRef
49.
Pendharkar PC (2013) Scatter search based interactive multi-criteria optimization of fuzzy objectives for coal production planning. Eng Appl Artif Intell 26(5–6):1503–1511 CrossRef
50.
Resende MGC, Ribeiro CC, Glover F, Martí R (2010) Scatter search and path-relinking: fundamentals, advances, and applications. In: Gendreau M, Potvin JY (eds) Handbook of metaheuristics. International series in operations research & management science, vol 146. Springer, New York, pp 87–107 CrossRef
51.
Sadiq AT, Sagheer AM, Ibrahim MS (2012) Improved scatter search for 4-colour mapping problem. Int J Reasoning-based Intell Syst 4(4):221–226 CrossRef
52.
Salazar-Aguilar MA, Ríos-Mercado RZ, González-Velarde JL, Molina J (2012) Multiobjective scatter search for a commercial territory design problem. Ann Oper Res 199(1):343–360 MathSciNetCrossRef
53.
Shen Z, Zou H, Sun H (2012) Task scheduling for imaging reconnaissance satellites using multiobjective scatter search algorithm. In: Li Z, Li X, Liu Y, Cai Z (eds) Computational intelligence and intelligent systems. Communications in computer and information science. Springer, Berlin/Heidelberg, pp 240–249
54.
Tan Y, Cheng TCE, Ji M (2014) A multi-objective scatter search for the ladle scheduling problem. Int J Prod Res 52(24):7513–7528 CrossRef
55.
Tang J, Zhang G, Zhang B, Cen H (2012) Resource-constrained project scheduling using electromagnetism-based scatter search. J Comput Inf Syst 8(12):5219–5227
56.
Tavakkoli-Moghaddam R, Ranjbar-Bourani M, Amin GR, Siadat A (2012) A cell formation problem considering machine utilization and alternative process routes by scatter search. J Intell Manuf 23(4):1127–1139 CrossRef
57.
Valsecchi A, Damas S, Santamaría J, Marrakchi-Kacem L (2014) Intensity-based image registration using scatter search. Artif Intell Med 60(3):151–163 CrossRef
58.
Wang J, Hedar AR, Wang S, Ma J (2012) Rough set and scatter search metaheuristic based feature selection for credit scoring. Expert Syst Appl 39(6):6123–6128 CrossRef
59.
Xu Y, Qu R (2012) A hybrid scatter search meta-heuristic for delay-constrained multicast routing problems. Appl Intell 36(1):229–241 CrossRef
60.
61.
Zhang T, Chaovalitwongse WA, Zhang Y (2012) Scatter search for the stochastic travel-time vehicle routing problem with simultaneous pick-ups and deliveries. Comput Oper Res 39(10):2277–2290 MathSciNetCrossRef
Metadata
Title
Scatter Search
Authors
Rafael Martí
Ángel Corberán
Juanjo Peiró
Copyright Year
2018
Book
Handbook of Heuristics

Print ISBN: 978-3-319-07123-7

Electronic ISBN: 978-3-319-07124-4

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-07124-4_20

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