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Interval Binary Programming Model for Noise Control Within an Urban Environment

W. Huang1*, L. M. Dai2, B. W. Baetz1, M. F. Cao2 and S. Razavi1

  1. Department of Civil Engineering, McMaster University, Hamilton, ON L8P 2R3, Canada
  2. Faculty of Engineering, University of Regina, Regina, Saskathewan S4S 0A2, Canada

*Corresponding author. Tel: +1-306-5913508 Fax: +1-905-5299688 Email:


This paper introduces an interval binary programming (IBP) method to the selection of control measures for noise reduction under uncertainty, by incorporating the concepts of interval numbers and interval mathematical programming into a binary programming optimization framework. As an extension of the binary programming method, IBP can explicitly address complexities and uncertainties in a noise control system. Parameters in the IBP model can be expressed as intervals, and uncertainties are effectively incorporated within the model solution process. The modelling approach is applied to a representative control measure selection problem for noise reduction in an urban environment. Results of the application indicate that useful solutions for noise control practices can be generated. A number of decision alternatives have been obtained and analyzed under different acceptable noise levels for two communities, and they reflect complex tradeoffs between environmental and economic considerations.

Keywords: interval binary programming, uncertainty Analysis, noise control, system optimization

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