Evolutionary Computation for Theatre Hall Acoustics

Architectural design is a process that considers many objectives to satisfy. In general, these objectives are conflicting with each other. On the other hand, many design parameters are associated with these conflicting objectives, too. Therefore, architectural design is described as a complex task. To handle the complexity, computational optimization methods can be employed to investigate architectural design process in detail. This paper focuses on investigating Pareto-front solutions for theatre hall design using multi-objective evolutionary algorithms. To formulate the theatre hall acoustic design problem, we consider three objectives. Two objectives are minimization of both reverberation time, and total initial cost whereas the third objective is the maximization of seating capacity. In addition, several designs and acoustical performance constraints are defined. To tackle this problem, a multi-objective self-adaptive differential evolution algorithm (JDEMO) is proposed and compared with a well-known non-dominated sorting genetic algorithm-II (NSGA-II) from the literature. Computational results show that the proposed JDEMO algorithm achieves competitive results when compared to the NSGA-II.

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

[2]  Janez Brest,et al.  Differential evolution for multiobjective optimization with self adaptation , 2007, 2007 IEEE Congress on Evolutionary Computation.

[3]  Yoichi Ando,et al.  APPLYING GENETIC ALGORITHMS TO THE OPTIMUM DESIGN OF A CONCERT HALL , 2002 .

[4]  Janez Brest,et al.  Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems , 2006, IEEE Transactions on Evolutionary Computation.

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

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

[7]  Marc Aretz,et al.  Sound strength and reverberation time in small concert halls , 2009 .

[8]  Tatsuro Hayashi,et al.  Acoustic Design of Theatres Applying Genetic Algorithms , 2004 .

[9]  Janez Brest,et al.  Constrained Real-Parameter Optimization with ε -Self-Adaptive Differential Evolution , 2009 .

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

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

[12]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[13]  Mehmet Fatih Tasgetiren,et al.  Multi-objective harmony search algorithm for layout design in theatre hall acoustics , 2016, 2016 IEEE Congress on Evolutionary Computation (CEC).

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

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

[16]  Bogdan Filipic,et al.  DEMO: Differential Evolution for Multiobjective Optimization , 2005, EMO.

[17]  Ponnuthurai N. Suganthan,et al.  Recent advances in differential evolution - An updated survey , 2016, Swarm Evol. Comput..

[18]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[19]  Tea Tusar,et al.  Differential Evolution versus Genetic Algorithms in Multiobjective Optimization , 2007, EMO.

[20]  Robert B. Newman,et al.  Collected Papers on Acoustics , 1927 .

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