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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.

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previous chapter Random-Key Genetic Algorithms

next chapter Tabu Search

Martí R (ed) (2006) Scatter search methods for optimization. Volume 169 of feature cluster of the European Journal of Operational Research. Elsevier, Amsterdam

Alkhazaleh HA, Ayob M, Ahmad Z (2013) Scatter search for solving team orienteering problem. Res J Appl Sci 8(3):181–190

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

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

Bova N, Ibáñez Ó, Cordón Ó (2013) Image segmentation using extended topological active nets optimized by scatter search. IEEE Comput Intell Mag 8(1):16–32CrossRef

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

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

Ernst AT, Krishnamoorthy M (1996) Efficient algorithms for the uncapacitated single allocation p-hub median problem. Locat Sci 4(3):139–154CrossRef

Everett H (1963) Generalized Lagrangean multiplier method for solving problems of optimal allocation of resources. Oper Res 11:399–417CrossRef

10.

Feo TA, Resende MGC (1995) Greedy randomized adaptive search procedures. J Glob Optim 6(2):109–133MathSciNetCrossRef

11.

Festa P, Resende MGC (2011) Grasp: basic components and enhancements. Telecommun Syst 46(3):253–271CrossRef

12.

Glover F (1965) A multiphase-dual algorithm for the zero-one integer programming problem. Oper Res 13:879–919CrossRef

13.

Glover F (1977) Heuristics for integer programming using surrogate constraints. Decis Sci 8(7):156–166CrossRef

14.

Glover F (1994) Tabu search for nonlinear and parametric optimization with links to genetic algorithms. Discret Appl Math 49(1–3):231–255MathSciNetCrossRef

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):652–684MathSciNetMATH

17.

Guo XW, Liu SX, Wang DZ (2012) Scatter search for solving multi-objective disassembly sequence optimization problems. J Northeast Univ 33(1):56–59MATH

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):153–165CrossRef

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):5495–5515MathSciNetMATH

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):49–62CrossRef

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):1459–1473CrossRef

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):1–22CrossRef

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):417–439MathSciNetCrossRef

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):125–142CrossRef

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):497–516MathSciNetCrossRef

32.

Laguna M, Martí R (2002) Scatter search: methodology and implementations in C. Kluwer Academic, NorwellMATH

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):1056–1073CrossRef

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):1103–1117CrossRef

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):63–75CrossRef

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):1485–1500MathSciNetCrossRef

40.

Love RF, Morris JG, Wesolowski GO (1988) Facilities location: models and methods. Elsevier, New YorkMATH

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):1324–1333CrossRef

42.

Martí R, Corberán Á, Peiró J (2015) Scatter search for an uncapacitated p-hub median problem. Comput Oper Res 58(0):53–66MathSciNetCrossRef

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):323–334MathSciNetCrossRef

45.

O’Kelly ME (1987) A quadratic integer program for the location of interacting hub facilities. Eur J Oper Res 32(3):393–404MathSciNetCrossRef

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):285–304MathSciNetCrossRef

48.

Peiró J, Corberán A, Martí R (2014) GRASP for the uncapacitated r-allocation p-hub median problem. Comput Oper Res 43(1):50–60MathSciNetCrossRef

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):1503–1511CrossRef

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 87–107CrossRef

51.

Sadiq AT, Sagheer AM, Ibrahim MS (2012) Improved scatter search for 4-colour mapping problem. Int J Reasoning-based Intell Syst 4(4):221–226CrossRef

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):343–360MathSciNetCrossRef

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):7513–7528CrossRef

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):1127–1139CrossRef

57.

Valsecchi A, Damas S, Santamaría J, Marrakchi-Kacem L (2014) Intensity-based image registration using scatter search. Artif Intell Med 60(3):151–163CrossRef

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):6123–6128CrossRef

59.

Xu Y, Qu R (2012) A hybrid scatter search meta-heuristic for delay-constrained multicast routing problems. Appl Intell 36(1):229–241CrossRef

60.

Yaman H (2011) Allocation strategies in hub networks. Eur J Oper Res 211(3):442–451MathSciNetCrossRef

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):2277–2290MathSciNetCrossRef

Title: Scatter Search
Authors: Rafael Martí
Ángel Corberán
Juanjo Peiró
Publisher: Springer International Publishing
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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