MINLP Based Retrieval of Generalized Cases
نویسندگان
چکیده
The concept of generalized cases has been proven useful when searching for configurable and flexible products, for instance, reusable components in the area of electronic design automation. This paper addresses the similarity assessment and retrieval problem for case bases consisting of traditional and generalized cases. While approaches presented earlier were restricted to continuous domains, this paper addresses generalized cases defined over mixed, continuous and discrete, domains. It extends the view on the similarity assessment as a nonlinear optimization problem (NLP) towards a mixed integer nonlinear optimization problem (MINLP), which is an actual research topic in mathematical optimization. This is an important step because most real world applications require mixed domains for the case description. Furthermore, we introduce two optimization-based retrieval methods that operate on a previously created index structure, which restricts the retrieval response time significantly.
منابع مشابه
Similarity Assessment and Retrieval of Generalized Cases
This paper addresses the similarity assessment and the retrieval problems in Case-Based Reasoning for case bases consisting of traditional and generalized cases. Previous work focussed on similarity assessment for generalized cases with continuous domains. The similarity assessment problem was formulated as Nonlinear Programm (NLP), which is well known in mathematical optimization. In several r...
متن کاملReview of mixed-integer nonlinear and generalized disjunctive programming methods in Process Systems Engineering
This work presents a review of the applications of mixed-integer nonlinear programming (MINLP) in process systems engineering (PSE). A review on the main deterministic MINLP solution methods is presented, including an overview of the main MINLP solvers. Generalized disjunctive programming (GDP) is an alternative higher-level representation of MINLP problems. This work reviews some methods for s...
متن کاملImproved Formulations and Computational Strategies for the Solution and Nonconvex Generalized Disjunctive Programs
Many optimization problems require the modelling of discrete and continuous variables, giving rise to mixed-integer linear and mixed-integer nonlinear programming (MILP / MINLP). An alternative representation of MINLP is Generalized Disjunctive Programming (GDP)1. GDP models are represented through continuous and Boolean variables, and involve algebraic equations, disjunctions, and logic propos...
متن کاملAn efficient solution method for the MINLP optimization of chemical processes
Process synthesis often involves the solution of large nonlinear discretecontinuous optimization problems, which are usually formulated as mixedinteger nonlinear programming (MINLP) or generalized disjunctive programming (GDP) problems and solved with MINLP solvers. This paper presents an efficient solution method for these problems named successive relaxed MINLP (SR-MINLP), where the model for...
متن کاملComputational strategies for improved MINLP algorithms
Abstract: In order to improve the efficiency for solving MINLP problems, we present in this paper three computational strategies. These include multiple-generation cuts, hybrid methods and partial surrogate cuts for the Outer Approximation and Generalized Benders Decomposition. The properties and convergence of the strategies are analyzed. Five new MINLP algorithms are described based on the pr...
متن کامل