Advances of grey optimization in water quality management

Abstract

Uncertainty analysis plays a major role in a water quality management problem to establish a proper decision scheme, as most input parameters in any realistic system are inherently uncertain. Modeling of some uncertain parameter in the optimization model is not possible through conventional probabilistic or fuzzy approach, because of inadequacy of data to estimate probability distribution and lack of information to precisely define the membership function, but can be modeled considering them as interval grey numbers in a grey or inexact optimization framework. This paper provides a description of grey optimization techniques for water quality management with in a stream. A pre-requisite background on grey systems, along with preliminary definitions is provided. Formulations of various grey optimization models to plan waste load allocation for water quality management system are presented. Perspectives on scope for further research are also presented.