Structural synthesis using the MINLP optimization approach
نویسنده
چکیده
This paper presents a structural synthesis using the Mixed-Integer Non-Linear Programming (MINLP) approach. The MINLP is a combined discrete/continuous optimization technique, where discrete binary 0-1 variables are defined for optimization of discrete alternatives and continuous variables for optimization of parameters. The MINLP optimization to a structural synthesis is performed through three steps: i.e. the generation of a mechanical superstructure, the modelling of an MINLP model formulation and the solution of the defined MINLP problem. As the discrete/continuous optimization problems are usually non-convex and highly non-linear, the Modified Outer-Approximation/EqualityRelaxation (OA/ER) algorithm is selected to be used for the optimization. The accompanied Linked Multilevel Hierarchical Strategy (LMHS) is developed to accelerate the convergence of the above-mentioned algorithm. Some examples are presented at the end of the paper.
منابع مشابه
Relaxation strategy for the structural optimization of process flowsheets
This paper presents an Equality Relaxation variant to the Outer-Approximation algorithm for solving mixed-integer nonlinear programming (MINLP) problems that arise in structural optimization of process flowsheets. The proposed algorithm has the important capability of being able to explicitly handle nonlinear equations within MINLP formulations that have linear integer variables and linear/nonl...
متن کاملStochastic MINLP optimization using simplicial approximation
Mathematical programming has long been recognized as a promising direction to the efficient solution of design, synthesis and operation problems hat can gain industry the competitive advantage required to survive in today’s difficult economic environment. Most of the engineering design roblems can be modelled as MINLP problems with stochastic parameters. In this paper a decomposition algorithm ...
متن کاملProcess flowsheet superstructures: Structural multiplicity and redundancy: Part I: Basic GDP and MINLP representations
Structural multiplicity has a significant effect on the solution of an MINLP model for process synthesis problems. The optimization model may also have built-in redundancy that cannot always be directly derived from the multiplicity of the superstructure. A basic GDP representation (BGR) involving logical relations is defined, and can be constructed by applying a standard natural representation...
متن کاملMixed-integer non-linear programming approach to structural optimization
The paper presents the Mixed-Integer Non-Linear Programming (MINLP) approach to structural optimization. MINLP is a combined discrete/continuous optimization technique, where discrete binary 0-1 variables are defined for optimization of discrete alternatives and continuous variables for optimization of parameters. The MINLP optimization is performed through three steps: i.e. the generation of a...
متن کاملMINLP optimization strategies and algorithms for process synthesis
This paper will attempt to show that one of the trends in the area of process synthesis is its gradual evolution towards the mathematical programming approach. This is in part due to the fundamental understanding that has been gained on the nature of the synthesis problems over the last twenty years. However, another major part has to do with the development of new and more powerful mathematica...
متن کامل