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HARMONY SEARCH APPLICATIONS


The HS algorithm had been successful in a wide variety of optimization problems in the following fields.


Bench-mark problems



Real-world problems



HARMONY SEARCH FEATURES


HS has several advantages when compared with traditional gradient-based mathematical optimization techniques as follows:

  • HS does not require complex calculus, thus it is free from divergence.

  • HS does not require initial value settings for the decision variables, thus it may escape local optima.

  • HS can handle discrete variables as well as continuous variables , while gradient-based techniques handle continuous variables only.


Also, the HS algorithm could overcome the drawback of genetic algorithm's Building Block Theory by considering the relationship among decision variables using its ensemble operation .


OTHER RELATED ALGORITHMS



REFERENCES



JOURNAL PAPERS

1. Vasebi, A., Fesanghary, M., and Bathaee, S.M.T., “Combined heat and power economic dispatch by harmony search algorithm,” International Journal of Electrical Power and Energy Systems, In Press.

2. Mahdavi, M., Fesanghary, M., and Damangir, E., “An Improved Harmony Search Algorithm for Solving Optimization Problems,” Applied Mathematics and Computation, 188(2), 1567-1579, May 2007.

3. Yu, L. and Xin, K., "Harmony Search Optimization for Design of Water Distribution Systems," Paper Online (http://www.paper.edu.cn), May 2007.

4. Li, L. J., Huang, Z. B., Liu, F., and Wu, Q. H., “A Heuristic Particle Swarm Optimizer for Optimization of Pin Connected Structures,” Computers & Structures, 85(7-8), 340-349, April 2007.

5. Geem, Z. W. and Geem, W. B., “Cutting-Edge Optimization Technique and its Applications to the Civil Engineering,” The Magazine of the Korean Society of Civil Engineers, 55(2), 155-171, Feb., 2007.

6. Li, L., Chi, S. –C., Lin, G., Chu, X. –S., “Slope Stability Analysis Using Extremum Principle by Pan Jiazheng and Harmony Search Method,” Rock and Soil Mechanics, 28(1), 157-162, Jan. 2007.

7. Li, L., Chi, S. –C., Chu, X. –S., “Location of Non-Circular Slip Surface Using the Modified Harmony Search Method Based on Correcting Strategy,” Rock and Soil Mechanics, 27(10), Oct. 2006.

8. Lee, K. S. and Choi, C. S., “Discrete-Continuous Configuration Optimization Methods for Structures Using the Harmony Search Algorithm,” Key Engineering Materials, 324-325, 1293-1296, Sep. 2006.

9. Geem, Z. W. and Park, Y., “Harmony Search for Layout of Rectilinear Branched Networks,” WSEAS Transactions on Systems, 6(5), 1349-1354, June 1, 2006.

10. Li, L., Chi, S., Lin, G., “Improved Harmonic Search Algorithm and Its Application to Soil Slope Stability Analysis,” China Civil Engineering Journal, 39(5), 107-111, May 2006.

11. Geem, Z. W., “Optimal Cost Design of Water Distribution Networks using Harmony Search,” Engineering Optimization, 38(3), 259-280, Apr. 1, 2006.

12. Kim, S. –H, Yoo, W. –S., Oh, K. –J., Hwang, I. –S., Oh, J. –E., “Transient Analysis and Leakage Detection Algorithm using GA and HS Algorithm for a Pipeline System,” Journal of Mechanical Science and Technology, KSME, 20(3), 426-434, Mar. 2006.

13. Li, L., Chi, S., Lin, G., “Chaos Harmony Search Method and its Application to Local Factor of Safety Method for Soil Slopes,” Chinese Journal of Rock Mechanics and Engineering, 25(1), Feb. 2006.

14. Geem, Z. W., Lee, K. S., and Park, Y., “Application of Harmony Search to Vehicle Routing,” American Journal of Applied Sciences, 2(12), 1552-1557, Dec. 1, 2005.

15. Paik, K., Kim, J. H., Kim, H. S., Lee, D. R., “A Conceptual Rainfall-Runoff Model Considering Seasonal Variation,” Hydrological Processes, 19(19), 3837-3850, Dec. 2005.

16. Lee, K. S., Geem, Z. W., Lee, S. -H., Bae, K. –W., “The Harmony Search Heuristic Algorithm for Discrete Structural Optimization,” Engineering Optimization, 37(7), 663-684, Oct. 1 2005.

17. Lee, K. S. and Geem, Z. W., “A New Meta-Heuristic Algorithm for Continuous Engineering Optimization: Harmony Search Theory and Practice,” Computer Methods in Applied Mechanics and Engineering, 194(36-38), 3902-3933, Sep. 23 2005.

18. Li, L., Chi, S. –C., Lin, G., “Genetic Algorithm Incorporated with Harmony Procedure and its Application to Searching of Non-Circular Critical Slip Surface in Soil Slopes,” Shuili Xuebao, 36(8), Aug. 2005.

19. Tian, Y. –H., Bo, Y. –M., Gao, M. –F., “The Application of Harmony Annealing Algorithm for Predictive Control of Nonlinear Systems,” Automation in Petro-Chemical Industry, No. 2, 39-42, April 2005.

20. Tian, Y. –H., Bo, Y. –M., Gao, M. –F., “Parameters Choice Criteria in Harmony Annealing for Function Optimization,” Computer Simulation, 22(4), 70-74, April 2005.

21. Baek, C. W., Kim, E. S., Park, M. J., Kim, J. H., “Development of Optimal Decision-Making System for Rehabilitation of Water Distribution Systems Using ReHS,” J. of Korea Water Resources Association, 38(3), 199-212, March 2005.

22. Lee, K. S., “A New Discrete Size Optimization Method of Structures Based on Harmony Search Heuristic Algorithm,” Journal of Structural and Construction Engineering. Transactions of Architectural Institute of Japan (AIJ), No.585, 101-107, Nov. 2004.

23. Tian, Y. –H., Bo, Y. –M., Gao, M. –F., “Harmony Annealing Algorithm for Multi-Dimentional Function Optimization,” Computer Simulation, 21(10), 79-82, Oct. 2004.

24. Liu, T. –N., Feng, Z. –B., “Adaptive Identification and Filtering Based on Harmony Search,” J. of Jilin University, 22(4), 306-309, July 2004.

25. Lee, K. S. and Geem, Z. W., “A New Structural Optimization Method Based on the Harmony Search Algorithm,” Computers & Structures, 82(9-10), 781-798, Apr. 1 2004.

26. Geem, Z. W., Kim, J. H., and Loganathan, G. V., “Harmony Search Optimization: Application to Pipe Network Design,” International Journal of Modelling and Simulation, International Association of Science and Technology for Development (IASTED), 22(2), 125-133, Apr. 1 2002.

27. Kim, J. H., Geem, Z. W., and Eung Seok Kim, “Parameter Estimation of the Nonlinear Muskingum Model using Harmony Search,” Journal of the American Water Resources Association, 37(5), 1131-1138, Oct. 1 2001.

28. Paik, K. –R., Jeong, J. –H., Kim, J. –H., “Use of a Harmony Search for Optimal Design of Coffer Dam Drainage Pipes,” J. of Korean Society of Civil Engineers, 21(2-B), 119-128, March 2001.

29. Geem, Z. W., Kim, J. H., and Loganathan, G. V., “A New Heuristic Optimization Algorithm: Harmony Search,” Simulation, the Society for Modeling and Simulation International, 76(2), 60-68, Feb. 1 2001.

BOOK CHAPTERS

1. Geem, Z. W., “Optimal Scheduling of Multiple Dam System Using Harmony Search Algorithm,” Lecture Notes in Computer Science, 4507, 316-323, June 20, 2007.

2. Geem, Z. W. and Choi, J. Y., “Music Composition Using Harmony Search Algorithm,” Lecture Notes in Computer Science, 4448, 593-600, Apr. 11, 2007.

3. Geem, Z. W., “Improved Harmony Search from Ensemble of Music Players,” Lecture Notes in Artificial Intelligence, 4251, 86-93, Oct. 9, 2006.

4. Geem, Z. W., “Harmony Search in Water Pump Switching Problem,” Lecture Notes in Computer Science, 3612, 751-760, Aug. 27, 2005.

5. Geem, Z. W., Tseng, C. -L., and Park, Y., “Harmony Search for Generalized Orienteering Problem: Best Touring in China,” Lecture Notes in Computer Science, 3612, 741-750, Aug. 27, 2005.