Most optimization software performs numerical computation, in the sense that the main interest is to find numerical values to assign to the decision variables, e.g. a solution to an optimization problem. In mathematical programming, however, a considerable amount of symbolic transformation is essential to solving difficult optimization problems, e.g. relaxation or decomposition techniques. This...

The support vector machine (SVM) algorithm (Cortes and Vapnik, 1995) is probably the most widely used kernel learning algorithm. It achieves relatively robust pattern recognition performance using well-established concepts in optimization theory. Despite this mathematical classicism, the implementation of efficient SVM solvers has diverged from the classical methods of numerical optimization. T...

Sayısal iyileştirme, mühendislik alanında en çok uğraşılan problemlerden biridir. Bu çalışmada, son zamanlarda geliştirilen Çift-Girişim Tabanlı İyileştirme Algoritması’nın (Bi-Attempted Based Optimization Algorithm) (ABaOA) arama yakınsama kabiliyeti yirmi iyi bilinen referans fonksiyonu üzerinde test edilmiştir. Elde edilen sonuçlar Genetik Algoritma (GA) ve Temel Algoritması (Based Algoritma...

vendor managed inventory is a continuous replenishment program that is designed to provide major cost saving benefits for both vendors and retailers. previous research on this area mainly included single objective optimization models where the objective is to minimize the total supply chain costs or to maximize the total supply chain benefits. this paper presents a bi-objective mathematical mod...

An interface between the application problem and the nonlinear optimization algorithm is proposed for the numerical solution of distributed optimal control problems. By using this interface, numerical optimization algorithms can be designed to take advantage of inherent problem features like the splitting of the variables into states and controls and the scaling inherited from the functional sc...

The extractive distillation of ethanol using glycerol as entrainer is studied, where a Numerical – Optimization based design, operation and controls were performed. The research includes several steps, where different kinds of numerical optimization are involved. Through the Optimization based design, it is possible to obtain both optimal operating conditions and optimal design. The solutions o...

We explore different mathematical formulations, develop an object-oriented simulation environment, and perform a parametric study in the design of a high-yield, low-cost (raw material), and short-cycletime chemical vapor deposition (CVD) reactor for microelectronic manufacturing. We begin with several possible configurations for the reactor and formulate them into their corresponding numerical ...