需求反应式公共运输系统之整合研究13.pptx

教學理念、方法與經驗分享（大學部必修課）;教學理念;教學方法（數量性課程）;The rationale of duality theory Max 4x1 + x2 + 5x3 + 3x4 S.T. x1 – x2 – x3 + 3x4 = 1 5x1 + x2 + 3x3 + 8x4 = 55 –x1 + 2x2 + 3x3 – 5x4 =3 x1~ x4 = 0 If we multiply a certain number (y0) on both sides of any constraint, the result won’t be affected. The arbitrary y is called the multiplier. y1, y2, and y3 are the multipliers of constraints 1, 2, and 3, respectively. How can we tell the range of the optimal objective value? (Let Z* be the optimal value) Consider 4x1 + x2 + 5x3 + 3x4 5/3 (5x1 + x2 + 3x3 + 8x4) ? Z* 5/3(55) = 275/3 Similarly 4x1 + x2 + 5x3 + 3x4 constraint 2 + constraint 3 = (5x1+ x2 + 3x3 + 8x4) + (–x1 + 2x2 + 3x3 – 5x4) ? Z* 55 + 3 = 58;;課後（考前）輔導;令人難忘的作業研究作業設計（目前暫停）;教學方法（技術性課程）;;;大家來找碴：第一名一千元、 第二名六百元、第三名四百元;學生印象深刻、老師擔心萬分的期末作業;教學方法（共通性）;教學成果與成效;教學講義編寫;支援交大OCW;管院共同必修（作業研究）的肯定;學生回饋;這就是我的教學經驗分享;報告完畢 敬請指教;9、春去春又回，新桃换旧符。在那桃花盛开的地方，在这醉人芬芳的季节，愿你生活像春天一样阳光，心情像桃花一样美丽，日子像桃子一样甜蜜。8月-218月-21Monday, August 2, 2021 10、人的志向通常和他们的能力成正比例。20:47:0920:47:0920:478/2/2021 8:47:09 PM 11、夫学须志也，才须学也，非学无以广才，非志无以成学。8月-2120:47:0920:47Aug-2102-Aug-21 12、越是无能的人，越喜欢挑剔别人的错儿。20:47:0920:47:0920:47Monday, August 2, 2021 13、志不立，天下无可成之事。8月-218月-2120:47:0920:47:09August 2, 2021 14、Thank you very much for taking me with you on that splendid outing to London. It was the first time that I had seen the Tower or any of the other famous sights. If Id gone alone, I couldnt have seen nearly as much, because I wouldnt have known my way about. 。02 八月 20218:47:09 下午20:47:098月-21 15、会当凌绝顶，一览众山小。八月 218:47 下午8月-2120:47August 2, 2021 16、如果一个人不知道他??驶向哪头，那么任何风都不是顺风。2021/8/2 20:47:0920:47:0902 August 2021 17、一个人如果不到最高峰，他就没有片刻的安宁，他也就不会感到生命的恬静和光荣。8:47:09 下午8:47 下午20:47:098月-21