Multi-objective harmony search algorithm for layout design in theatre hall acoustics

The aim of the research is to find a feasible set of theatre hall design alternatives for two objectives, which are the total cost and the reverberation time, subject to several constraints. We formulate the problem as a multi-objective realparameter constrained optimization problem. To handle this problem, we investigated two different optimization algorithms, namely, a Non-Dominated Sorting Genetic Algorithm II (NSGA-II) and a multi-objective Harmony Search algorithm (MOHS) in order to gather Pareto front approximation with a set of non-dominated solutions. We demonstrate that the MOHS yields slightly better results than the NSGA-II algorithm.

[1]  Eckart Zitzler,et al.  HypE: An Algorithm for Fast Hypervolume-Based Many-Objective Optimization , 2011, Evolutionary Computation.

[2]  Ricardo San Martin,et al.  Predicted and experimental results of acoustic parameters in the new Symphony Hall in Pamplona, Spain , 2006 .

[3]  Lale Özbakir,et al.  Training neural networks with harmony search algorithms for classification problems , 2012, Eng. Appl. Artif. Intell..

[4]  Xiaofang Yuan,et al.  A self-adaptive multi-objective harmony search algorithm based on harmony memory variance , 2015, Appl. Soft Comput..

[5]  Alban Bassuet,et al.  Computational and Optimization Design in Geometric Acoustics , 2014 .

[6]  Benjamín Barán,et al.  Multiobjective Harmony Search Algorithm Proposals , 2011, CLEI Selected Papers.

[7]  Zong Woo Geem,et al.  Multiobjective Optimization of Time-Cost Trade-Off Using Harmony Search , 2010 .

[8]  Marshall Long,et al.  What Is so Special about Shoebox Halls? Envelopment, Envelopment, Envelopment , 2009 .

[9]  A. Krokstad,et al.  Calculating the acoustical room response by the use of a ray tracing technique , 1968 .

[10]  Adrià Giménez,et al.  Room acoustical parameters: A factor analysis approach , 2009 .

[11]  Martin J. Oates,et al.  PESA-II: region-based selection in evolutionary multiobjective optimization , 2001 .

[12]  Ondřej Jiříček,et al.  Monaural and binaural parameters of Rudolfinum concert halls in Prague , 2012 .

[13]  Enrique Alexandre,et al.  Sound Classification in Hearing Aids by the Harmony Search Algorithm , 2009 .

[14]  Qiang Shen,et al.  Feature Selection With Harmony Search , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Jing J. Liang,et al.  A self-adaptive global best harmony search algorithm for continuous optimization problems , 2010, Appl. Math. Comput..

[16]  M. Fesanghary,et al.  An improved harmony search algorithm for solving optimization problems , 2007, Appl. Math. Comput..

[17]  Carolina P. de Almeida,et al.  Harmony Search for Multi-objective Optimization , 2012, 2012 Brazilian Symposium on Neural Networks.

[18]  Tapio Lokki,et al.  Concert Hall Geometry Optimization with Parametric Modeling Tools and Wave-Based Acoustic Simulations , 2014 .

[19]  Javier Del Ser,et al.  Evaluating the Internationalization Success of Companies Through a Hybrid Grouping Harmony Search—Extreme Learning Machine Approach , 2012, IEEE Journal of Selected Topics in Signal Processing.

[20]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

[21]  Arthur Boothroyd,et al.  Room Acoustics and Speech Perception , 2004 .

[22]  Quan-Ke Pan,et al.  Pareto-based grouping discrete harmony search algorithm for multi-objective flexible job shop scheduling , 2014, Inf. Sci..

[23]  Marco Laumanns,et al.  SPEA2: Improving the strength pareto evolutionary algorithm , 2001 .

[24]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[25]  Akira Omoto,et al.  Distribution of selected monaural acoustical parameters in concert halls , 2010 .

[26]  Barrios Carlos,et al.  Transformations on Parametric Design Models A Case Study on the Sagrada Familia Columns , 2005 .

[27]  Mehmet Fatih Tasgetiren,et al.  An effective discrete harmony search algorithm for flexible job shop scheduling problem with fuzzy processing time , 2015 .

[28]  K. S. Swarup,et al.  Multi Objective Harmony Search Algorithm For Optimal Power Flow , 2010 .

[29]  Ajith Abraham,et al.  Population-variance and explorative power of Harmony Search: An analysis , 2008, 2008 Third International Conference on Digital Information Management.

[30]  Weihwa Chiang,et al.  Acoustical design of stages with large plane surfaces in rectangular recital halls , 2003 .

[31]  Joshua D. Knowles,et al.  M-PAES: a memetic algorithm for multiobjective optimization , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[32]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[33]  Kurt Eggenschwiler.  Halls-Room Acoustics and Sound Reinforcement , 2005 .