• Nem Talált Eredményt

2.1 Synthetic test results. Average of 100 runs. n: size of the problem, i.e. number of locations; m: number of salesmen;

k: minimum tour length; p: population size; Opt.: best found solution (overall distance); It.: iteration number when the best solution found;t: running time in seconds. . . 26 2.2 Test results using complex operators and initialization.

Aver-age of 100 runs. n: size of the problem, i.e. number of lo-cations; m: number of salesmen; k: minimum tour length; p: population size; Opt.: best found solution (overall distance);

It.: iteration number when the best solution found;t: running time in seconds. . . 26 2.3 Test results using complex operators and initialization.

Aver-age of 10 runs. n: size of the problem, i.e. number of locations;

m: number of salesmen; l: maximum tour length; Best: best found solution (overall distance); Avg: Average of 10 runs. . . 27 2.4 Test results using complex operators and initialization.

Aver-age of 10 runs. n: size of the problem, i.e. number of locations;

m: number of salesmen; Best: best found solution (overall dis-tance); Avg: Average of 10 runs. . . 28 2.5 Part of the industrial problem's distance table - kilometers. . . 33 3.1 The eect of the introduced parameter c3 on the convergence

of PSO . . . 53 3.2 Mathematical equations of the analyzed functions. . . 59 3.3 Test results performing 500 MC simulation, modifying the

weight for the gradient part. Best results are highlighted in each row for the objective values. . . 61 3.4 The parameters (mean and deviation) of the example

distri-bution functions . . . 69 3.5 The analytically calculated example sensitivity matrix . . . 70 3.6 The investigated demand function parameters. . . 73 3.7 The resulted sensitivity matrix in the two-echelon problem. . . 74

4.1 Computational results using synthetic data sets. . . 94

4.2 Comparison to DCI_Closed. . . 95

4.3 Comparing FCPMiner with other relevant methods. . . 98

4.4 Performance test using synthetic data. . . 105

4.5 Test runs using biological data. . . 106

4.6 Number of biclusters showing signicant enrichment in GO categories for our method and the three compared biclustering algorithms. . . 107

4.7 Number of biclusters showing signicant enrichment in KEGG pathways for our method and other biclustering algorithms. . 108

Bibliography

[23] Fimi'03: Workshop on frequent itemset mining implementations. In Bart Göthals and Mohammed J Zaki, editors, IEEE International Con-ference on Data Mining Workshop on Frequent Itemset Mining Imple-mentations, Melbourne, Florida, USA, 2003.

[24] Fimi'04: Workshop on frequent itemset mining implementations. In Roberto Bayardo, Bart Göthals, and Mohammed J Zaki, editors, IEEE International Conference on Data Mining Workshop on Frequent Item-set Mining Implementations, Brighton, UK, 2004.

[25] R. Agrawal, T. Imieli«ski, and A. Swami. Mining association rules between sets of items in large databases. In ACM SIGMOD Record, volume 22, pages 207216. ACM, 1993.

[26] R. Agrawal, H. Mannila, R. Srikant, H. Toivonen, A.I. Verkamo, et al.

Fast discovery of association rules. Advances in knowledge discovery and data mining, 12:307328, 1996.

[27] Rakesh Agrawal and Ramakrishnan Srikant. Fast algorithms for mining association rules. In Proceedings of the 20th International Conference on Very Large Data Bases, VLDB, volume 1215, pages 487499, 1994.

[28] Mukshed Ahammed and Robert E. Melchers. Gradient and parameter sensitivity estimation for systems evaluated using monte carlo analysis.

Reliability Engineering & System Safety, 91(5):594601, 2006.

[29] M. Al-Mashari and M. Zairi. Supply-chain re-engineering using en-terprise resource planning (erp) systems: an analysis of a sap r/3 im-plementation case. International Journal of Physical Distribution &

Logistics Management, 30(3/4):296313, 2000.

[30] Agha Iqbal Ali and Jeery L Kennington. The asymmetric m-traveling salesmen problem: a duality based branch-and-bound algorithm. Dis-crete Applied Mathematics, 13:259276, 1986.

[31] A. Amir, R. Feldman, and R. Kashi. A new and versatile method for association generation. Information Systems, 22(6):333347, 1997.

[32] T Back, D. B. Fogel, and Z Michalewicz. Handbook of evolutionary computation. IOP Publishing Ltd., 1997.

[33] Sándor Balogh. Többszempontú gazdasági döntéseket segít® genetikus algoritmus kidolgozása és alkalmazásai. PhD thesis, Kaposvár Univer-sity, 2009.

[34] R.J. Bayardo Jr. Eciently mining long patterns from databases. In ACM Sigmod Record, volume 27, pages 8593. ACM, 1998.

[35] Benita M Beamon. Supply chain design and analysis:: Models and methods. International Journal of Production Economics, 55(3):281 294, 1998.

[36] Tolga Bektas. The multiple traveling salesman problem: an overview of formulations and solution procedures. Omega, 34:209219, 2006.

[37] Amir Ben-Dor, Benny Chor, Richard Karp, and Zohar Yakhini. Dis-covering local structure in gene expression data: The order-preserving submatrix problem. Journal of Computational Biology, 10(3-4):373 384, 2003.

[38] Sven Bergmann, Jan Ihmels, and Naama Barka. Iterative signature algorithm for the analysis of large-scale gene expression data. Phys.

Rev. E, 67(3):0319020118, 2003.

[39] S Bhide, N John, and Mansur R Kabuka. A boolean neural network approach for the traveling salesman problem. IEEE Transactions on Computers, 42(10):1271, 1993.

[40] Tobias Blickle and Lothar Thiele. A comparison of selection schemes used in evolutionary algorithms. Evolutionary Computation, 4(4):361 394, 1996.

[41] E. Borgonovo, M. Marseguerra, and E. Zio. A monte carlo methodolog-ical approach to plant availability modeling with maintenance, aging and obsolescence. Reliability Engineering and System Safety, 67:61 73, 2000.

[42] István Borgulya. Evolúciós algoritmusok. Dialóg Campus, 2004.

[43] B. Borowska and S. Nadolski. Particle swarm optimization: the gradi-ent correction. Journal of Applied Computer Science, 17(2):715, 2009.

[44] Evelyn C. Brown, Cli T. Ragsdale, and Arthur E. Carter. A group-ing genetic algorithm for the multiple travelgroup-ing salesperson problem.

International Journal of Information Technology & Decision Making, 6(02):333347, 2007.

[45] Stanislav Busygin, Oleg Prokopyev, and Panos M. Pardalos. Biclus-tering in data mining. Computers & Operations Research, 35(9):2964 2987, 2008.

[46] J. Caldas and S. Kaski. Bayesian biclustering with the plaid model.

In Machine Learning for Signal Processing, 2008. MLSP 2008. IEEE Workshop on, pages 291296. IEEE, 2008.

[47] Andrea Califano, Gustavo Stolovitzky, and Yuhai Tu. Analysis of gene expression microarrays for phenotype classication. In Proc. Int'l Conf.

Computational Molecular Biology, volume 8, pages 7585, 2000.

[48] Giuliano Caloiero, Fernanda Strozzi, and José-Manuel Zaldívar Comenges. A supply chain as a series of lters or ampliers of the bullwhip eect. International Journal of Production Economics, 114(2):631645, 2008.

[49] Arthur E. Carter and Cli T. Ragsdale. A new approach to solving the multiple traveling salesperson problem using genetic algorithms.

European Journal of Operational Research, 175:246257, 2006.

[50] Rachel Cavill, Steve Smith, and Andy Tyrrell. Multi-chromosomal genetic programming. In Proceedings of the 2005 conference on Genetic and evolutionary computation, pages 17531759. ACM New York, NY, USA, 2005.

[51] Yizong Cheng and George M. Church. Biclustering of expression data.

In Eighth International Conference on Intelligent Systems for Molecu-lar Biology (ISMB '00), pages 93103, 2000.

[52] S. Chopra and P. Meindl. Supply chain management. strategy, planning

& operation. Das Summa Summarum des Management, pages 265275, 2007.

[53] Martin Christopher. Logistics and supply chain management: creating value-added networks. Pearson education, 2005.

[54] M.C. Cooper, D.M. Lambert, and J.D. Pagh. Supply chain manage-ment: more than a new name for logistics. International Journal of Logistics Management, The, 8(1):114, 1997.

[55] B. Csukás and S. Balogh. Combining genetic programming with generic simulation models in evolutionary synthesis. Computers in Industry, 36(3):181197, 1998.

[56] M. Bixby Cooper Donald J. BowerSox, David J. Closs. Supply Chain Logistics Management. McGraw-Hill, 2002.

[57] AI Edwards, AP Engelbrecht, and N. Franken. Nonlinear mapping using particle swarm optimisation. In Evolutionary Computation, 2005.

The 2005 IEEE Congress on, volume 1, pages 306313. IEEE, 2005.

[58] A.P. Engelbrecht, A. Engelbrecht, and A. Ismail. Training product unit neural networks. 1999.

[59] H.K. Feng, JS Bao, and Y Jin. Particle swarm optimization combined with ant colony optimization for the multiple traveling salesman prob-lem. In Materials science forum, volume 626, pages 717722. Trans Tech, 2009.

[60] Gerd Finke. Network ow based branch and bound method for asym-metric traveling salesman problems. In XI Symposium on Operations Research, pages 117119, Darmstadt, 1986.

[61] B.R. Fox and M.B. McMahon. Genetic operators for sequencing prob-lems. In Gregory J.E. Rawlins, editor, Foundations of genetic algo-rithms, pages 284300, San Mateo, 1991. Morgan Kaufmann.

[62] Carlos Garcia-Martinez, Oscar Cordón, and Francisco Herrera. A tax-onomy and an empirical analysis of multiple objective ant colony opti-mization algorithms for the bi-criteria tsp. European Journal of Oper-ational Research, 180(1):116148, 2007.

[63] Mitsuo Gen and Runwei Cheng. Genetic algorithms and engineering design. John Wiley and Sons, Inc., New York, 1997.

[64] Xiutang Geng, Zhihua Chen, Wei Yang, Deqian Shi, and Kai Zhao.

Solving the traveling salesman problem based on an adaptive simu-lated annealing algorithm with greedy search. Applied Soft Computing, 11(4):3680 3689, 2011.

[65] Gad Getz, Erel Levine, and Eytan Domany. Coupled two-way clus-tering analysis of gene microarray data. Proceedings of the National Academy of Sciences, 97(22):1207912084, 2000.

[66] Soheil Ghafurian and Nikbakhsh Javadian. An ant colony algorithm for solving xed destination multi-depot multiple traveling salesmen problems. Applied Soft Computing, 11(1):1256 1262, 2011.

[67] Fred Glover. Articial intelligence, heuristic frameworks and tabu search. Managerial and Decision Economics, 11(5):365375, 1990.

[68] David E. Goldberg. Genetic algorithms in search, optimization and ma-chine learning. Addison-Wesley Longman Publishing Co., Inc. Boston, MA, USA, 1989.

[69] Gösta Grahne and Jianfei Zhu. Eciently using prex-trees in mining frequent itemsets. In FIMI'03 Workshop on Frequent Itemset Mining Implementations, pages 123132, 2003.

[70] Stephen C. Graves and Sean P. Willems. Optimizing strategic safety stock placement in supply chains. Manufacturing & Service Operations Management, 2(1):6883, 2000.

[71] Stephen C. Graves and Sean P. Willems. Supply chain design: safety stock placement and supply chain conguration. Handbooks in Opera-tions Research and Management Science, 11:95132, 2003.

[72] Stephen C. Graves and Sean P. Willems. Strategic inventory placement in supply chains: nonstationary demand. Manufacturing & Service Operations Management, 10(2):278287, 2008.

[73] J Gromicho, J Paixão, and I Bronco. Exact solution of multiple travel-ing salesman problems. Combinatorial optimization: new frontiers in theory and practice, pages 291292, 1992.

[74] Gregory Gutin and Abraham P. Punnen. The Traveling Salesman Prob-lem and Its Variations. Combinatorial Optimization. Kluwer Academic Publishers, Dordrecht, The Nederlands, 2002.

[75] Attila Gyenesei, Ulrich Wagner, Simon Barkow-Oesterreicher, Etzard Stolte, and Ralph Schlapbach. Mining co-regulated gene proles for the detection of functional associations in gene expression data. Bioin-formatics, 23(15):19271935, 2007.

[76] Jiawei Han, Hong Cheng, Dong Xin, and Xifeng Yan. Frequent pat-tern mining: current status and future directions. Data Mining and Knowledge Discovery, 15:5586, 2007. 10.1007/s10618-006-0059-1.

[77] MA Harris, J. Clark, A. Ireland, J. Lomax, M. Ashburner, R. Foulger, K. Eilbeck, S. Lewis, B. Marshall, C. Mungall, et al. The gene on-tology (go) database and informatics resource. Nucleic acids research, 32(Database issue):D258, 2004.

[78] J. A. Hartigan. Direct clustering of a data matrix. Journal of the American Statistical Association (JASA), 67(337):123129, 1972.

[79] Jack C. Hayya, Uttarayan Bagchi, Jeon G. Kim, and Daewon Sun. On static stochastic order crossover. International Journal of Production Economics, 114(1):404413, 2008.

[80] Ruprecht-Karls-Universität Heidelberg. Tsplib, 2013.

[81] John H. Holland. Adaptation in Natural and Articial Systems. The University of Michigan Press, Cambridge, 1975.

[82] Chau-Yun Hsu, Meng-Hsiang Tsai, and Wei-Mei Chen. A study of feature-mapped approach to the multiple travelling salesmen problem.

IEEE International Symposium on Circuits and Systems, 3:15891592, 1991.

[83] X. Hu and R. Eberhart. Solving constrained nonlinear optimization problems with particle swarm optimization. In Proceedings of the sixth world multiconference on systemics, cybernetics and informatics, vol-ume 5, pages 203206. Citeseer, 2002.

[84] J.M. Huband, J.C. Bezdek, and R.J. Hathaway. bigvat: visual as-sessment of cluster tendency for large data sets. Pattern Recognition, 38(11):18751886, 2005.

[85] Nicolas Jozefowiez, Frederic Semet, and El-Ghazali Talbi. Multi-objective vehicle routing problems. European Journal of Operational Research, 189(2):293309, 2008.

[86] Kenneth F. Simpson Jr. In-process inventories. Operations Research, pages 863873, 1958.

[87] June Young Jung, Gary Blau, Joseph F. Pekny, Gintaras V. Reklaitis, and David Eversdyk. A simulation based optimization approach to

supply chain management under demand uncertainty. Computers &

chemical engineering, 28(10):20872106, 2004.

[88] Pan Junjie and Wang Dingwei. An ant colony optimization algorithm for multiple travelling salesman problem. In Innovative Computing, Information and Control, 2006. ICICIC'06. First International Con-ference on, volume 1, pages 210213. IEEE, 2006.

[89] M. Kanehisa, S. Goto, S. Kawashima, Y. Okuno, and M. Hattori.

The kegg resource for deciphering the genome. Nucleic acids research, 32(suppl 1):D277D280, 2004.

[90] Minoru Kanehisa, Susumu Goto, Shuichi Kawashima, Yasushi Okuno, and Masahiro Hattori. The kegg resource for deciphering the genome.

Nucleic Acids Research, 32(suppl 1):D277D280, 2004.

[91] J. Kennedy and R. Eberhart. Particle swarm optimization. In Neu-ral Networks, 1995. Proceedings., IEEE International Conference on, volume 4, pages 19421948. IEEE, 1995.

[92] Yuval Kluger, Ronen Basri, Joseph T. Chang, , and Mark Gerstein.

Spectral biclustering of microarray data: Coclustering genes and con-ditions. Genome Research, 13(4):703716, 2003.

[93] P. Köchel and U. Nieländer. Simulation-based optimisation of multi-echelon inventory systems. International journal of production eco-nomics, 93:505513, 2005.

[94] Kian Peng Koh, Akiko Yabuuchi, Sridhar Rao, Yun Huang, Kerri-anne Cunni, Julie Nardone, Asta Laiho, Mamta Tahiliani, Cesar A.

Sommer, Gustavo Mostoslavsky, Riitta Lahesmaa, Stuart H. Orkin, Scott J. Rodig, George Q. Daley, and Anjana Rao. Tet1 and tet2 regu-late 5-hydroxymethylcytosine production and cell lineage specication in mouse embryonic stem cells. Cell stem cell, 8:200213, 2011.

[95] K.P. Koh, A. Yabuuchi, S. Rao, Y. Huang, K. Cunni, J. Nardone, A. Laiho, M. Tahiliani, C.A. Sommer, G. Mostoslavsky, et al. Tet1 and tet2 regulate 5-hydroxymethylcytosine production and cell lineage specication in mouse embryonic stem cells. Cell Stem Cell, 8(2):200 213, 2011.

[96] Gilbert Laporte and Yves Nobert. A cutting planes algorithm for the m-salesmen problem. Journal of the Operational Research Soci-ety, 31:10171023, 1980.

[97] Amy Hing-Ling Lau and Hon-Shiang Lau. A comparison of dier-ent methods for estimating the average invdier-entory level in a (q,r) sys-tem with backorders. International Journal of Production Economics, 79(3):303316, 2002.

[98] Laura Lazzeroni and Art Owen. Plaid models for gene expression data.

Statistica Sinica, 12(1):6186, 2002.

[99] Guojun Li, Qin Ma, Haibao Tang, Andrew H. Paterson, and Ying Xu. Qubic: a qualitative biclustering algorithm for analyses of gene expression data. Nucleic Acids Research, 37(15):e101, 2009.

[100] Guimei Liu, Hongjun Lu, Wenwu Lou, and Jerey Xu Yu. On com-puting, storing and querying frequent patterns. In Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining, KDD '03, pages 607612, New York, NY, USA, 2003.

ACM.

[101] Xiaowen Liu and Lusheng Wang. Computing the maximum similarity bi-clusters of gene expression data. Bioinformatics, 23(1):5056, 2007.

[102] D.P. Loucks, E. Van Beek, J.R. Stedinger, J.P.M. Dijkman, and M.T.

Villars. Water resources systems planning and management: an intro-duction to methods, models and applications. Paris: UNESCO, 2005.

[103] Claudio Lucchese, Salvatore Orlando, and Raaele Perego. Dci_closed:

A fast and memory ecient algorithm to mine frequent closed itemsets.

In IEEE ICDM'04 Workshop FIMI'04, 2004.

[104] Claudio Lucchese, Salvatore Orlando, and Raaele Perego. Mining top-k patterns from binary datasets in presence of noise. In Proceedings of the 10th SIAM International Conference on Data Mining (SDM), Columbus, OH, pages 165176, 2010.

[105] Sara C. Madeira and Arlindo L. Oliveira. Biclustering algorithms for biological data analysis: A survey. IEEE Transactions on computa-tional Biology and Bioinformatics, pages 2445, 2004.

[106] Dragana Makaji¢-Nikoli¢, Biljana Pani¢, and Mirko Vujo²evi¢. Bull-whip eect and supply chain modelling and analysis using cpn tools.

In Fifth Workshop and Tutorial on Practical Use of Colored Petri Nets and the CPN Tools, 2004.

[107] Charles J. Malmborg. A genetic algorithm for service level based vehicle scheduling. European Journal of Operational Research, 93(1):121134, 1996.

[108] H. Mannila, H. Toivonen, and A.I. Verkamo. Ecient algorithms for discovering association rules. In Proceedings of the 1994 AAAI Work-shop on Knowledge Discovery in Databases, pages 181192, 1994.

[109] K Mathias and D Whitley. Genetic operators, the tness landscape and the traveling salesman problem. Parallel Problem Solving from Nature, 2:219228, 1992.

[110] R. Mendes, J. Kennedy, and J. Neves. The fully informed parti-cle swarm: simpler, maybe better. Evolutionary Computation, IEEE Transactions on, 8(3):204 210, june 2004.

[111] P. Miliotis. Using cutting planes to solve the symmetric travelling salesman problem. Mathematical Programming, 15(1):177188, 1978.

[112] H. Min and G. Zhou. Supply chain modeling: past, present and future.

Computers & industrial engineering, 43(1-2):231249, 2002.

[113] P.A. Miranda and R.A. Garrido. Incorporating inventory control deci-sions into a strategic distribution network design model with stochastic demand. Transportation Research Part E: Logistics and Transportation Review, 40(3):183207, 2004.

[114] P.A. Miranda and R.A. Garrido. Inventory service-level optimization within distribution network design problem. International Journal of Production Economics, 122(1):276285, 2009.

[115] T. M. Murali and Simon Kasif. Extracting conserved gene expression motifs from gene expression data. In Pacic Symposium on Biocom-puting, pages 7788, 2003.

[116] E.P. Musalem and R. Dekker. Controlling inventories in a supply chain:

A case study. International Journal of Production Economics, 93:179 188, 2005.

[117] T. Nagatani and D. Helbing. Stability analysis and stabilization strate-gies for linear supply chains. Physica A: Statistical Mechanics and its Applications, 335(3):644660, 2004.

[118] R Nallusamy, K Duraiswamy, R Dhanalaksmi, and P Parthiban. Op-timization of non-linear multiple traveling salesman problem using k-means clustering, shrink wrap algorithm and meta-heuristics. Interna-tional Journal of Nonlinear Science, 8(4):480487, 2009.

[119] M.M. Noel and T.C. Jannett. Simulation of a new hybrid particle swarm optimization algorithm. In System Theory, 2004. Proceedings of the Thirty-Sixth Southeastern Symposium on, pages 150153. IEEE, 2004.

[120] F.P. Pach, A. Gyenesei, and J. Abonyi. Compact fuzzy association rule-based classier. Expert systems with applications, 34(4):24062416, 2008.

[121] J.S. Park, M.S. Chen, and P.S. Yu. An eective hash-based algorithm for mining association rules, volume 24. ACM, 1995.

[122] Yang-Byung Park. A hybrid genetic algorithm for the vehicle schedul-ing problem with due times and time deadlines. International Journal of Productions Economics, 73(2):175188, 2001.

[123] K.E. Parsopoulos and M.N. Vrahatis. Particle swarm optimiza-tion method for constrained optimizaoptimiza-tion problems. Intelligent TechnologiesTheory and Application: New Trends in Intelligent Tech-nologies, 76:214220, 2002.

[124] Nicolas Pasquier, Yves Bastide, Rak Taouil, and Lot Lakhal. Discov-ering frequent closed itemsets for association rules. In Proceedings of the 7th International Conference on Database Theory, ICDT '99, pages 398416, London, UK, UK, 1999. Springer-Verlag.

[125] Jian Pei, Jiawei Han, and Runying Mao. Closet: An ecient algorithm for mining frequent closed itemsets. In ACM SIGMOD Workshop on Research Issues in Data Mining and Knowledge Discovery, number 2, pages 2130, 2000.

[126] D. Petrovic. Simulation of supply chain behaviour and performance in an uncertain environment. International Journal of Production Eco-nomics, 71(1):429438, 2001.

[127] Hans J. Pierrot and Robert Hinterding. Multi-chromosomal genetic programming, volume 1342/1997 of Lecture Notes in Computer Sci-ence, chapter Using multi-chromosomes to solve a simple mixed integer

[128] Arthur Pitman. Market-basket synthetic data generator, 2011.

[129] M.E. Poter. Competitive advantage: Creating and sustaining superior performance. New York et al, 1985.

[130] Jean-Yves Potvin. Genetic algorithms for the traveling salesman prob-lem. Annals of Operations Research, 63(3):337370, 1996.

[131] Jean-Yves Potvin Potvin, G Lapalme, and J Rousseau. A generalized k-opt exchange procedure for the mtsp. INFOR, 27:474481, 1989.

[132] A. Prékopa. On the hungarian inventory control model. European journal of operational research, 171(3):894914, 2006.

[133] Amela Preli¢, Stefan Bleuler, Philip Zimmermann, Anja Wille, Peter Bühlmann, Wilhelm Gruissem, Lars Hennig, Lothar Thiele, and Eckart Zitzler. A systematic comparison and evaluation of biclustering meth-ods for gene expression data. Bioinformatics, 22(9):11221129, 2006.

[134] J.A. Rice. Mathematical statistics and data analysis. Thomson Learn-ing, 2006.

[135] John A Rice. Mathematical statistics and data analysis (Third Edition ed.). Duxbury press, 2007.

[136] Domingo S. Rodriguez-Baena, Antonio J. Perez-Pulido, and Jesus S.

AguilarRuiz. A biclustering algorithm for extracting bit-patterns from binary datasets. Bioinformatics, 27(19):27382745, 2011.

[137] S. Ronald and S. Kirkby. Compound optimization. solving transport and routing problems with a multi-chromosome genetic algorithm. In The 1998 IEEE International Conference on Evolutionary Computa-tion, ICEC'98, pages 365370, 1998.

[138] Sheldon M. Ross. Introduction to Probability Models. NY: Academic Press, Macmillian, New York, 1984.

[139] R.Y. Rubinstein and D.P. Kroese. Simulation and the Monte Carlo method. Wiley-interscience, 2008.

[140] Robert A. Russell. An eective heuristic for the m-tour traveling salesman problem with some side conditions. Operations Research, 25(3):517524, 1977.

[141] M. Sakaguchi. Inventory model for an inventory system with time-varying demand rate. International Journal of Production Economics, 122(1):269275, 2009.

[142] Leonidas L. Sakalauskas. Nonlinear stochastic programming by monte-carlo estimators. European Journal of Operational Research, 137(3):558 573, 2002.

[143] R. Salomon. Evolutionary algorithms and gradient search: Similarities and dierences, 1998.

[144] A. Saltelli. Sensitivity analysis in practice: a guide to assessing scien-tic models. John Wiley & Sons Inc, 2004.

[145] Funda Samanlioglu, William G. Ferrell Jr., and Mary E. Kurz. A memetic random-key genetic algorithm for a symmetric multi-objective traveling salesman problem. Computers & Industrial Engineering, 55(2):439449, 2008.

[146] J.D. Schwartz, W. Wang, and D.E. Rivera. Simulation-based optimiza-tion of process control policies for inventory management in supply chains. Automatica, 42(8):13111320, 2006.

[147] Y. Seo. Controlling general multi-echelon distribution supply chains with improved reorder decision policy utilizing real-time shared stock information. Computers & Industrial Engineering, 51(2):229246, 2006.

[148] P. Shenoy, J.R. Haritsa, S. Sudarshan, G. Bhalotia, M. Bawa, and D. Shah. Turbo-charging vertical mining of large databases. In ACM SIGMOD Record, volume 29, pages 2233. ACM, 2000.

[149] Alok Singh and Anurag Singh Baghel. A new grouping genetic algo-rithm approach to the multiple traveling salesperson problem. Soft Computing-A Fusion of Foundations, Methodologies and Applications, 13(1):95101, 2009.

[150] I.M. Sobol. Global sensitivity indices for nonlinear mathematical mod-els and their monte carlo estimates. Mathematics and computers in simulation, 55(1-3):271280, 2001.

[151] T. Sousa, A. Silva, and A. Neves. Particle swarm based data mining algorithms for classication tasks. Parallel Computing, 30(5):767783,

[152] M. Srinivasan and Y.B. Moon. A comprehensive clustering algorithm for strategic analysis of supply chain networks. Computers & industrial engineering, 36(3):615633, 1999.

[153] Pang-Ning Tan, Michael Steinbach, and Vipin Kumar. Introduction to data mining. Pearson Addison Wesley Boston, 2006.

[154] Amos Tanay, Roded Sharan, and Ron Shamir. Discovering statistically signicant biclusters in gene expression data. Bioinformatics, 18(suppl 1):S136S144, 2002.

[155] Amos Tanay, Roded Sharan, and Ron Shamir. Biclustering algorithms:

A survey. Handbook of computational molecular biology, 2004.

[156] Chun Tang, Li Zhang, Aidong Zhang, and Murali Ramanathan. Inter-related two-way clustering: An unsupervised approach for gene expres-sion data analysis. In 2nd IEEE International Symposium on

[156] Chun Tang, Li Zhang, Aidong Zhang, and Murali Ramanathan. Inter-related two-way clustering: An unsupervised approach for gene expres-sion data analysis. In 2nd IEEE International Symposium on