Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System

Abstract

In this paper a general multi-objective geometric programming problem with interval parameters is proposed, and a methodology is developed to derive its solution. The model is transformed into a general geometric programming problem, and relation between the original problem and the transformed problem is established. Application of this discussion is illustrated in a waste water treatment model.

Keywords:

• mathematical model
• nonlinear problem
• order relation
• multivalued mapping

AMS Subject Classification:

• 90C29
• 90C30
• 90C90
• 97M10
• 97M40