Skip to main content

Modeling and Solving Real-Life Global Optimization Problems with Meta-heuristic Methods

  • Chapter
  • First Online:
Advances in Modeling Agricultural Systems

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 25))

Abstract

Many real-life problems can be modeled as global optimization problems. There are many examples that come from agriculture, chemistry, biology, and other fields. Meta-heuristic methods for global optimization are flexible and easy to implement and they can provide high-quality solutions. In this chapter, we give a brief review of the frequently used heuristic methods for global optimization. We also provide examples of real-life problems modeled as global optimization problems and solved by meta-heuristic methods, with the aim of analyzing the heuristic approach that is implemented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. L. Angelis, G. Stamatellos, Multiple Objective Optimization of Sampling Designs for Forest Inventories using Random Search Algorithms, Computers and Electronics in Agriculture 42(3), 129–148, 2004.

    Article  Google Scholar 

  2. D. Baker, A Surprising Simplicity to Protein Folding, Nature 405, 39–42, 2000.

    Article  Google Scholar 

  3. J.R. Banavar, A. Maritan, C. Micheletti and A. Trovato, Geometry and Physics of Proteins, Proteins: Structure, Function, and Genetics 47(3), 315–322, 2002.

    Article  Google Scholar 

  4. J. Brandao, A Tabu Search Algorithm for the Open Vehicle Routing Problem, European Journal of Operational Research 157(3), 552–564, 2004.

    Article  MathSciNet  MATH  Google Scholar 

  5. W. Ben-Ameur, Computing the Initial Temperature of Simulated Annealing , Computational Optimization and Applications 29(3), 369–385, 2004.

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Cafieri, M. D’Apuzzo, M. Marino, A. Mucherino, and G. Toraldo, Interior Point Solver for Large-Scale Quadratic Programming Problems with Bound Constraints, Journal of Optimization Theory and Applications 129(1), 55–75, 2006.

    Article  MathSciNet  MATH  Google Scholar 

  7. Cambridge database: http://www-wales.ch.cam.ac.uk/CCD.html.

  8. G. Ceci, A. Mucherino, M. D’Apuzzo, D. di Serafino, S. Costantini, A. Facchiano, and G. Colonna, Computational Methods for Protein Fold Prediction: an Ab-Initio Topological Approach, Data Mining in Biomedicine, Springer Optimization and Its Applications, Panos Pardalos et al. (Eds.), vol.7, Springer, Berlin, 2007.

    Google Scholar 

  9. A.R. Conn and N.I.M. Gould, Trust-Region Methods, SIAM Mathematical Optimization, 2000.

    Google Scholar 

  10. P.G. De Vries, Sampling for Forest Inventory, Springer, Berlin, 1986.

    Google Scholar 

  11. M. Dorigo and G. Di Caro, Ant Colony Optimization: A New Meta-Heuristic, in New Ideas in Optimization, D. Corne, M. Dorigo and F. Glover (Eds.), McGraw-Hill, London, UK, 11–32, 1999.

    Google Scholar 

  12. E. Feinerman and M.S. Falkovitz, Optimal Scheduling of Nitrogen Fertilization and Irrigation, Water Resources Management 11(2), 101–117, 1997.

    Article  Google Scholar 

  13. R. Fletcher, Practical Methods of Optimization, Wiley, New York, Second Edition, 1987.

    MATH  Google Scholar 

  14. C.A. Floudas, J.L. Klepeis, and P.M. Pardalos, Global Optimization Approaches in Protein Folding and Peptide Docking, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 47, 141–172, M. Farach-Colton, F. S. Roberts, M. Vingron, and M. Waterman, editors. American Mathematical Society, Providence, RI.

    Google Scholar 

  15. Z.W. Geem, J.H. Kim, and G.V. Loganathan, A New Heuristic Optimization Algorithm: Harmony Search , SIMULATIONS 76(2), 60–68, 2001.

    Article  Google Scholar 

  16. F. Glover and F. Laguna, Tabu Search , Kluwer Academic Publishers, Dordrecht, 1997.

    Google Scholar 

  17. D.E. Goldberg, Genetic Algorithms in Search, Optimization & Machine Learning, Addison-Wesley, Reading, MA, 1989.

    MATH  Google Scholar 

  18. C.G. Han, P.M. Pardalos, and Y. Ye, Computational Aspects of an Interior Point Algorithm for Quadratic Programming Problems with Box Constraints, Large-Scale Numerical Optimization, T. Coleman and Y. Li (Eds.), SIAM, Philadelphia, 1990.

    Google Scholar 

  19. T.X. Hoang, A. Trovato, F. Seno, J.R. Banavar, and A. Maritan, Geometry and Simmetry Presculpt the Free-Energy Landscape of Proteins, Proceedings of the National Academy of Sciences USA 101: 7960–7964, 2004.

    Google Scholar 

  20. A.V.M. Ines, K. Honda, A.D. Gupta, P. Droogers, and R.S. Clemente, Combining Remote Sensing-Simulation Modeling and Genetic Algorithm Optimization to Explore Water Management Options in Irrigated Agriculture, Agricultural Water Management 83, 221–232, 2006.

    Article  Google Scholar 

  21. D.F. Jones, S.K. Mirrazavi, and M. Tamiz, Multi-objective Meta-Heuristics: An Overview of the Current State-of-the-Art, European Journal of Operational Research 137, 1–9, 2002.

    Article  MATH  Google Scholar 

  22. J. Kennedy and R. Eberhart, Particle Swarm Optimization, Proceedings IEEE International Conference on Neural Networks 4, Perth, WA, Australia, 1942–1948, 1995.

    Google Scholar 

  23. S. Kirkpatrick, C.D. Gelatt Jr., and M.P. Vecchi, Optimization by Simulated Annealing , Science 220(4598), 671–680, 1983.

    Article  MathSciNet  Google Scholar 

  24. K.S. Lee, Z. Geem, S.-H. Lee, and K.-W. Bae, The Harmony Search Heuristic Algorithm for Discrete Structural Optimization, Engineering Optimization 37(7), 663–684, 2005.

    Article  MathSciNet  Google Scholar 

  25. J.E. Lennard-Jones, Cohesion, Proceedings of the Physical Society 43, 461–482, 1931.

    Google Scholar 

  26. L. Lhotska, M. Macas, and M. Bursa, PSO and ACO, in Optimization Problems, E. Corchado et al. (Eds.), Intelligent Data Engineering and Automated Learning 2006, Lecture Notes in Computer Science 4224, 1390–1398, 2006.

    Google Scholar 

  27. M. Mahdavi, M. Fesanghary, and E. Damangir, An Improved Harmony Search Algorithm for Solving Optimization Problems, Applied Mathematics and Computation 188(22), 1567–1579, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  28. S.P. Mendes, J.A.G. Pulido, M.A.V. Rodriguez, M.D.J. Simon, and J.M.S. Perez, A Differential Evolution Based Algorithm to Optimize the Radio Network Design Problem, E-SCIENCE ’06: Proceedings of the Second IEEE International Conference on e-Science and Grid Computing, 2006.

    Google Scholar 

  29. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller, Equation of State Calculations by Fast Computing Machines, Journal of Chemical Physics 21(6): 1087–1092, 1953.

    Article  Google Scholar 

  30. P.M. Morse, Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels, Physical Review 34, 57–64, 1929.

    Article  Google Scholar 

  31. A. Mucherino and O. Seref, Monkey Search : A Novel Meta-Heuristic Search for Global Optimization, AIP Conference Proceedings 953, Data Mining, System Analysis and Optimization in Biomedicine, 162–173, 2007.

    Google Scholar 

  32. A. Mucherino, O. Seref, and P.M. Pardalos, Simulating Protein Conformations: the Tube Model, working paper.

    Google Scholar 

  33. J.A. Northby, Structure and Binding of Lennard-Jones clusters: 13 ≤ N ≤ 147, Journal of Chemical Physics 87(10), 6166–6177, 1987.

    Article  Google Scholar 

  34. P.M. Pardalos and H.E. Romeijn (eds.), Handbook of Global Optimization, Vol. 2, Kluwer Academic, Norwell, MA, 2002.

    MATH  Google Scholar 

  35. Protein Data Bank: http://www.rcsb.org/pdb/.

  36. B. Raoult, J. Farges, M.F. De Feraudy, and G. Torchet, Comparison between Icosahedral, Decahedral and Crystalline Lennard-Jones Models Containing 500 to 6000 Atoms, Philosophical Magazine B60, 881–906, 1989.

    Google Scholar 

  37. J. Robinson and Y. Rahmat-Samii, Particle Swarm Optimization in Electromagnetics, IEEE Transations on Antennas and Propagation 52(2), 397–407, 2004.

    Article  MathSciNet  Google Scholar 

  38. C.T. Scott and M. Kohl, A Method of Comparing Sampling Designs Alternatives for Extensive Inventories, Mitteilungen der Eidgenossischen Forschungsanstalt fur Wald. Schnee and Landschaft 68(1), 3–62, 1993.

    Google Scholar 

  39. O. Seref, A. Mucherino, and P.M. Pardalos, Monkey Search : A Novel Meta-Heuristic Method, working paper.

    Google Scholar 

  40. A. Shmygelska and H.H. Hoos, An Ant Colony Optimisation Algorithm for the 2D and 3D Hydrophobic Polar Protein Folding Problem, BMC Bioinformatics 6, 30, 2005.

    Article  Google Scholar 

  41. R. Storn and K. Price, Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces, Journal of Global Optimization 11(4), 341–359, 1997.

    Article  MathSciNet  MATH  Google Scholar 

  42. Y. Xiang, H. Jiang, W. Cai, and X. Shao, An Efficient Method Based on Lattice Construction and the Genetic Algorithm for Optimization of Large Lennard-Jones Clusters, J. Physical Chemistry 108(16), 3586– 3592, 2004.

    Google Scholar 

  43. X. Zhang, and T. Li, Improved Particle Swarm Optimization Algorithm for 2D Protein Folding Prediction, ICBBE 2007: The 1st International Conference on Bioinformatics and Biomedical Engineering, 53–56, 2007.

    Google Scholar 

  44. T. Zhou, W.-J. Bai, L. Cheng, and B.-H. Wang, Continuous Extremal Optimization for Lennard Jones Clusters, Physical Review E72, 016702, 1–5, 2005.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Antonio Mucherino .

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Mucherino, A., Seref, O. (2009). Modeling and Solving Real-Life Global Optimization Problems with Meta-heuristic Methods. In: Advances in Modeling Agricultural Systems. Springer Optimization and Its Applications, vol 25. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-75181-8_19

Download citation

Publish with us

Policies and ethics