Abstract
In this chapter, methods to optimally granulize rough set partition sizes using simulated annealing technique, are proposed. The proposed procedure is applied to model the militarized interstate dispute data. The suggested technique is then compared to the rough set partition method that is based on particle swarm optimization. The results obtained demonstrate that simulated annealing provides higher forecasting accuracies than particle swarm optimization method.
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References
Abbasi B, Niaki STA, Khalife MA, Faize Y (2011) A hybrid variable neighborhood search and simulated annealing algorithm to estimate the three parameters of the Weibull distribution. Expert Syst Appl 38:700–708
Akhmatskaya E, Bou-Rabee N, Reich S (2009) A comparison of generalized hybrid Monte Carlo methods with and without momentum flip. J Comput Phys 228:2256–2265
Alfi A, Modares H (2011) System identification and control using adaptive particle swarm optimization. Appl Math Model 35:1210–1221
Almaraashi M, John R (2010) Tuning fuzzy systems by simulated annealing to predict time series with added noise. UK. Workshop on Computer Intelligence, pp 1–5
Anghinolfi D, Montemanni R, Paolucci M, Maria Gambardella L (2011) A hybrid particle swarm optimization approach for the sequential ordering problem. Comput Oper Res 38:1076–1085
Bazavov A, Berg BA, Zhou H (2009) Application of biased metropolis algorithms: from protons to proteins. Math Comput Simul. doi:10.1016/j.matcom.2009.05.005
Bedard M (2008) Optimal acceptance rates for metropolis algorithms: moving beyond 0.234. Stoch Proc Appl 118:2198–2222
Bisetty K, Corcho FJ, Canto J, Kruger HG, Perez JJ (2006) Simulated annealing study of the pentacyclo-undecane cage amino acid tripeptides of the type [Ac-X-Y-Z-NHMe]. J Mol Struct THEOCHEM 759:145–157
Briant O, Naddef D, Mounie G (2009) Greedy approach and multi-criteria simulated annealing for the car sequencing problem. Eur J Oper Res 191:993–1003
Bryan K, Cunningham P, Bolshkova N (2006) Application of simulated annealing to the biclustering of gene expression data. IEEE Trans Inf Technol Biomed 10:10519–10525
Chang Y (2006) An innovative approach for demand side management - optimal chiller loading by simulated annealing. Energy 31:1883–1896
Chang Y, Chen W, Lee C, Huang C (2006) Simulated annealing based optimal chiller loading for saving energy. Energy Convers Manage 47:2044–2058
Chunyu R, Xiaobo W (2010) Study on hybrid genetic simulated annealing algorithm for multi-cargo loading problem. In: Proceedings of the International Conference on Computer, Mechatronics, Control and Electronic Engineering, pp 346–349, Changchun, China (2010)
Cosola E, Genovese K, Lamberti L, Pappalettere C (2008) A general framework for identification of hyper-elastic membranes with moire tand multi-point simulated annealing. Intl J Solids Struct 45:6074–6099
Cretu N, Pop M (2009) Acoustic behavior design with simulated annealing. Comput Mater Sci 44:1312–1318
Crossingham B, Marwala T, Lagazio M (2008) Optimised rough sets for modelling interstate conflict. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernatics, pp 1198–1204, Singapore
Curran JM (2008) A MCMC method for resolving two person mixtures. Sci Justice 48:168–177
Dafflon B, Irving J, Holliger K (2009) Simulated-annealing-based conditional simulation for the local-scale characterization of heterogeneous aquifers. J Appl Geophys 68:60–70
Das, A., Chakrabarti, B.K.: Quantum annealing and related optimization methods. Lecture Notes in Physics, vol. 679, Springer, Heidelberg (2005)
De Vicente J, Lanchares J, Hermida R (2003) Placement by thermodynamic simulated annealing. Phys Lett A 317:415–423
Dunn WL, Shultis JK (2009) Monte Carlo methods for design and analysis of radiation detectors. Radiat Phys Chem 78:852–858
Gallagher K, Charvin K, Nielsen S, Sambridge M, Stephenson J (2009) Markov chain Monte Carlo (MCMC) sampling methods to determine optimal models, model resolution and model choice for earth science problems. Mar Pet Geol 26:525–535
Gaucherel C, Campillo F, Misson L, Guiot J, Boreux JJ (2008) Parameterization of a process-based tree-growth model: comparison of optimization. MCMC and particle filtering algorithms. Environ Modell Softw 23:1280–1288
Gomes AM, Oliveira JF (2006) Solving irregular strip packing problems by hybridising simulated annealing and linear programming. Eur J Oper Res 171:811–829
He R, Hwang S (2006) Damage detection by an adaptive real-parameter simulated annealing genetic algorithm. Comput Struct 84:2231–2243
Jacquier E, Johannes M, Polson N (2007) MCMC maximum likelihood for latent state models. J Econ 137:615–640
Jia Y, Zhang C (2009) Front-view vehicle detection by Markov chain Monte Carlo method. Pattern Recognit 42:313–321
Jing L, Vadakkepat P (2009) Interacting MCMC particle filter for tracking maneuvering target. Digit Signal Process. doi:10.1016/j.dsp. 2009.08.011
Jun SC, George JS, Kim W, Pare-Blagoev J, Plis S, Ranken DM, Schmidt DM (2008) Bayesian brain source imaging based on combined MEG/EEG and fMRI using MCMC. Neuroimage 40:1581–1594
Kannan S, Zacharias M (2009) Simulated annealing coupled replica exchange molecular dynamics - an efficient conformational sampling method. J Struct Biol 166:288–294
Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks, pp 1942–1948, Piscataway
Kennedy J, Eberhart RC (2001) Swarm Intelligence. Morgan Kaufmann, San Francisco
Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Sci, New Series 220:671–680
Lai Y (2009) Adaptive Monte Carlo methods for matrix equations with applications. J Comput Appl Math 231:705–714
Lamberti L (2008) An efficient simulated annealing algorithm for design optimization of truss structures. Comput and Struct 86:1936–1953
Liesenfeld R, Richard J (2008) Improving MCMC, using efficient importance sampling. Comput Stat Data Anal 53:272–288
Liu X, Jiang W, Jakana J, Chiu W (2007) Averaging tens to hundreds of icosahedral particle images to resolve protein secondary structure elements using a multi-path simulated annealing optimization algorithm. J Struct Biol 160:11–27
Liu X, Newsome D, Coppens M (2009) Dynamic Monte Carlo simulations of binary self-diffusion in ZSM-5. Microporous Mesoporous Mater 125:149–159
Liu Z, Wang C, Sun T (2010) Production sequencing of mixed-model assembly lines based on simulated annealing algorithm. Proc of the Intl Conf of Logistics Eng and Manage 387: 1803–1808
Lombardi MJ (2007) Bayesian inference for [Alpha]-stable distributions: a random walk MCMC approach. Comput Stat and Data Anal 51:2688–2700
Malve O, Laine M, Haario H, Kirkkala T, Sarvala J (2007) Bayesian modelling of algal mass occurrences - using adaptive MCMC methods with a lake water quality model. Environ Modell Softw 22:966–977
Marwala T (2010) Finite Element Model Updating Using Computational Intelligence Techniques. Springer, London
Mathe P, Novak E (2007) Simple Monte Carlo and the metropolis algorithm. J Complex 23: 673–696
McClarren RG, Urbatsch TJ (2009) A Modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material Coupling. J Comput Phys 228:5669–5686
McGookin EW, Murray-Smith DJ (2006) Submarine manoeuvring controllers' optimisation using simulated annealing and genetic algorithms. Control Eng Pract 14:01–15
Meer K (2007) Simulated annealing versus metropolis for a TSP instance. Inf Process Lett 104:216–219
Metropolis N, Rosenbluth A, Rosenbluth M (1953) A. Teller, and E. Teller, equation of state calculations by fast computing machines. J Chem Phys 21:1087–1092
Meyer R, Cai B, Perron F (2008) Adaptive rejection metropolis sampling using Lagrange interpolation polynomials of degree 2. Comput Stat Data Anal 52:3408–3423
Moita JMS, Correia VMF, Martins PG, Soares CMM, Soares CAM (2006) Optimal design in vibration control of adaptive structures using a simulated annealing algorithm. Compos Struct 75:79–87
Moskovkin P, Hou M (2007) Metropolis Monte Carlo predictions of free Co-Pt nanoclusters. J Alloys Compd 434–435:550–554
Naderi B, Zandieh M, Khaleghi A, Balagh G, Roshanaei V (2009) An improved simulated annealing for hybrid flowshops with sequence-dependent setup and transportation times to minimize total completion time and total tardiness. Expert Syst Appl 36:9625–9633
Nearchou AC (2011) Maximizing production rate and workload smoothing in assembly lines using particle swarm optimization. Int J Prod Econ 129:242–250
Nocedal J, Wright S (2000) Numerical Optimization. Springer, Heidelberg
Ogura T, Sato C (2006) A fully automatic 3D reconstruction method using simulated annealing enables accurate posterioric angular assignment of protein projections. J Struct Biol 156: 371–386
Oliveira RG, Schneck E, Quinn BE, Konovalov OV, Brandenburg K, Seydel U, Gill T, Hanna CB, Pink DA, Tanaka M (2009) Physical mechanisms of bacterial survival revealed by combined grazing-incidence X-ray scattering and Monte Carlo simulation. C R Chim 12:209–217
Pawlak Z (1991) Rough Sets, Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht
Paya-Zaforteza I, Yepes V, Hospitaler A, Gonzalez-Vidosa F (2009) CO2-Optimization of reinforced concrete frames by simulated annealing. Eng Struct 31:1501–1508
Pedamallu CS, Ozdamar L (2008) Investigating a hybrid simulated annealing and local search algorithm for constrained optimization. Eur J Oper Res 185:1230–1245
Qi J-Y (2010) Application of improved simulated annealing algorithm in facility layout design. In: Proceedings of the 29th Chinese Control Conference, pp 5224–5227, Beijing
Raghavendra R, Dorizzi B, Rao A, Hemantha Kumar G (2011) Particle swarm optimization based fusion of near infrared and visible images for improved face verification. Pattern Recog 44: 401–411
Rahmati M, Modarress H (2009) Nitrogen adsorption on nanoporous zeolites studied by grand canonical Monte Carlo simulation. J Mol Struct THEOCHEM 901:110–116
Ratick S, Schwarz G (2009) Monte Carlo simulation. In: Kitchin R, Thrift N (eds) International Encyclopedia of Human Geography. Elsevier, Oxford
Raymond JW, Holsworth DD, Jalaie M (2011) The flexible alignment of molecular structures using simulated annealing with weighted lagrangian multipliers. J Comput Chem 32:210–217
Sacco WF, Lapa CMF, Pereira CMNA, Filho HA (2008) A metropolis algorithm applied to a nuclear power plant auxiliary feedwater system surveillance tests policy optimization. Prog Nucl Energ 50:15–21
Salamon P, Sibani P, Frost R (2002) Facts, Conjectures, and Improvements for Simulated Annealing (SIAM Monographs on Mathematical Modeling and Computation). Society for Industrial and Applied Mathematic Publishers, Philadelphia
Salazar R, Toral R (2006) Simulated annealing using hybrid Monte Carlo. arXiv:cond-mat/ 9706051
Seyed-Alagheband SA, Ghomi SMTF, Zandieh M (2011) A simulated annealing algorithm for balancing the assembly line type II problem with sequence-dependent setup times between tasks. Intl J Prod Res 49:805–825
Singh U, Kumar H, Kamal TS (2010) Design of Yagi-Uda antenna using biogeography based optimization. IEEE Trans Antennas Propag 58:3375–3379
Sonmez FO (2007) Shape optimization of 2D structures using simulated annealing. Comput Meth Appl Mech Eng 196:3279–3299
Tiano G, Sutto L, Broglia RA (2007) Use of the Metropolis Algorithm to Simulate the Dynamics of Protein Chains. Physica A: Statistical Mech and its Appl 380:241–249
van Laarhoven PJ, Aarts EH (1997) Simulated Annealing: Theory and Applications (Mathematics and Its Applications). Kluwer Academic Publishers, Dordrecht
Wang M, Zeng W (2010) A comparison of four popular heuristics for task scheduling problem in computational grid. In: Proceedings of the 6th International Conference. on Wireless Communication, Networking and Mobile Computing, pp 500–507, Chengdu
Weinberger E (1990) Correlated and uncorrelated fitness landscapes and how to tell the difference. Biol Cybernet 63:325–336
Wei-Zhong A, Xi-Gang Y (2009) A simulated annealing-based approach to the optimal synthesis of heat-integrated distillation sequences. Comput Chem Eng 33:199–212
Weizhong AN, Fengjuan YU, Dong F, Yangdong HU (2008) Simulated annealing approach to the optimal synthesis of distillation column with intermediate heat exchangers. Chin J Chem Eng 16:30–35
Xia J, Liu L, Xue J, Wang Y, Wu L (2009) Modeling of radiation-induced bystander effect using Monte Carlo methods. Nucl Instr Method Phys Res Sect B: Beam Interact Mater Atoms 267:1015–1018
Xu Y, Qu R (2011) Solving multi-objective multicast routing Problems by evolutionary multi-objective simulated annealing algorithms with variable neighbourhoods. J Oper Res Soc 62:313–325
Yang Z, Kang L (2010) Application and comparison of several intelligent algorithms on muskingum routing model. In: Proceedings of the IEEE International Conference on Information and Financial Engineering, pp 910–914, Chongqing
Ying K-C, Lin S-W, Lu C-C (2011) Cell formation using a simulated annealing algorithm with variable neighbourhood. Euro J Ind Eng 5:22–42
Zhang R, Wu C (2011) A simulated annealing algorithm based on block properties for the job shop scheduling problem with total weighted tardiness objective. Comp Oper Res 38:854–867
Zhao H, Zheng C (2009) Correcting the Multi-Monte Carlo method for particle coagulation. Powder Technol 193:120–123
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Marwala, T., Lagazio, M. (2011). Simulated Annealing Optimized Rough Sets for Modeling Interstate Conflict. In: Militarized Conflict Modeling Using Computational Intelligence. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/978-0-85729-790-7_9
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