中山大学数学建模讲座.pptVIP

优化模型-数学建模 华南理工大学理学院数学系 刘深泉教授 Experimental Mathematics Computer Formula for Pi In 1996, a PSLQ program discovered this formula for pi: Indeed, this formula permits one to directly calculate binary or hexadecimal (base-16) digits of ? beginning at an arbitrary starting position n, without needing to calculate any of the first n-1 digits. Optimization- mathematical programming choosing the best element from some set of available alternatives Linear programming Integer programming. Quadratic programming Nonlinear programming. Convex programming Semidefinite programming Stochastic programming. Robust programming.. Combinatorial optimization. Infinite-dimensional optimization Heuristic algorithms Constraint satisfaction Optimal control. Dynamic programming. Mathematical programming 序数理论，选择理论 一般最优化问题 最优化问题的约束数学模型 Computational optimization techniques Single variables Optimization Multi variables Optimization 优化算法 1. Dijkstra 算法，2.最小生成树 Prim 算法，3. 最小费用，4. 遗传算法 算法复杂性，P，NP问题，NPC 1000000$ Final Submission Countdown Netflix公司-成立于1997年的美国最大的在线DVD租赁商 Contributed by Lester Mackey Only sixteen minutes remained in the $1 million Netflix Prize competition when I handed over the final set of predictions to the Ensemble team captain. The members of our newly minted team had been working furiously through the night, hoping to improve upon our previous day’s score of .8554. It was hard to believe that just twenty-four hours ago we had passed the four-team coalition that had occupied the first place spot for the last 29 days. There was little time to celebrate; the previous leaders would not go down without a fight, so we had to be ready with something better. A call had been issued for any remaining valid predictors, anything that could tip the scale in this final day, and our members around the globe had answered the call: nearly 200 new predictor sets, some previously passed over for their poor performance and others newly conceived only moments prior, had floo