CSH513 Modelling & Optimization
Mata Kuliah ini akan dibahas tentang Pengertian, tujuan dan manfaat model. Jenis dan bentuk model. Asumsi, formulasi, validasi dan feedback; Model linear, metode least square, aturan Cramer, linearisasi; Model Nonlinear dan Linearisasi. Model Logistik; Model klasifikasi linear, persamaan hyperplane, margin, dimensi Vapnic-Cervonenkis. Masalah optimasi quadratic; Lagrange Multiplier, Dual Problem, Fungsi Affine; Pengertian vektor gradient, gradient descent untuk peminimuman, gradient ascent untuk pemaksimuman, implementasi; Model deterministik vs probabilistik, Model Markov dan antrian, performansi system.
Modelling and Optimization discusses definition, purpose and benefits of the model. The type and form of the model. Assumptions, formulation, validation and feedback; The linear model, the least squares method, Cramer’s rule, linearization; Nonlinear Model and linearization. Logistic Model; Linear classification model, hyperplane equation, margin, dimensions Vapnic-Cervonenkis. Quadratic optimization problem; Lagrange Multiplier, Dual Problem, Affine Function; Definition of gradient vector, gradient descent to peminimuman, gradient ascent to maximization, implementation; Probabilistic vs. deterministic models, Markov models and queues, system performance.
