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課程說明
數學規劃 線性與整數規劃的建模與應用：單純形法、敏感度分析與對偶性；參數規劃與後最適分析；分支界限法；隱含枚舉；割平面演算法。非線性最佳化之理論與應用：凸集合、凸與凹函數、Kuhn-Tucker 條件；非線性規劃之對偶性；二次與凸規劃之計算方法；幾何規劃；動態規劃。
原文參考文本
Mathematical Programming Formulation and applications of linear and integer programming: simplex method, sensitivity analysis and duality; parametric programming and post-optimality analysis; branch and bound technique; implicit enumeration; cutting plane algorithm. Theory and applications of non-linear optimization: convex sets, convex and concave functions, Kuhn-Tucker conditions; duality in nonlinear programming; computational methods for quadratic and convex programming; geometric programming; dynamic programming.
來源與參考
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