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目录
A 题题目《Predictions of Ozone Depletion》 ....................................................................... 1
B 题题目《The Direct Metro Lines》 ....................................................................................... 2
C 题题目《The War on Superbugs》 ....................................................................................... 3
A 题 O 奖论文
1026 队《Predictions of Ozone Depletion》 .................................................................................... 5
1295 队《Global Ozone Status and the Prediction of Future Trends》 ............................... 38
2389 队《Ozone Forecasting Model Based On Grey Prediction》 ........................................ 66
2688 队《Predictions of Ozone Depletion》 ................................................................................. 88
2734 队《Problem A: Predictions of Ozone Depletion》 ........................................................ 124
B 题 O 奖论文
1455 队《The establishment of direct metro lines》 ................................................................ 155
1565 队《The Optimal Selection of The Direct Metro》 ......................................................... 189
1853 队《Establishment of Direct Shuttle Train Lines and Optimization of Time
Interval》 .................................................................................................................................................. 259
2601 队《The Direct Metro Lines》 ................................................................................................ 290
2759 队《The Direct Metro Lines》 ................................................................................................ 308
C 题 O 奖论文
1534 队《Antibiotic Resistance Crisis ? A Simulation Method》 .......................................... 334
1666 队《Resolve Antibiotic Crisis With Science Strategies and Polices》 ....................... 359
2541 队《The antibiotic resistance analysis based on interest chain》 .............................. 386
2885 队《The Campaign On Antibiotics》 ................................................................................... 407
3190 队《Control the antibiotic to save more lives》 .............................................................. 429
2016
Certificate Authority Cup International Mathematical Contest Modeling
http://mcm.tzmcm.cn
Problem A(MCM): Predictions of Ozone Depletion
Ozone depletion includes several phenomena observed since the late 1970s: a steady decline in
the total amount of ozone in Earth's stratosphere (the ozone layer), and a much larger springtime
decrease in stratospheric ozone — as known as ozone hole — around Earth's polar regions. In
addition to these well-known stratospheric phenomena, there are also springtime polar
tropospheric ozone depletion events.
It is believed that the primary cause of ozone depletion is the presence of chlorine-containing
source gases, including CFCs and related halocarbons, nitrous oxide, etc. In 1985, 20 nations
signed the Vienna Convention for the Protection of the Ozone Layer. In 1987, representatives
from 43 nations signed the Montreal Protocol. At Montreal, the participants agreed to freeze
production of CFCs at 1986 levels and to reduce production by 50 percent by 1999.
Since the adoption and strengthening of the Montreal Protocol has led to reductions in the
emissions of CFCs, atmospheric concentrations of the most-significant compounds have been
declining. Please develop a mathematical model to predict the ozone levels over the next 50
years.
1
2016
Certificate Authority Cup International Mathematical Contest Modeling
http://mcm.tzmcm.cn
Problem B(MCM): The Direct Metro Lines
In current metro network of a megapolis, it usually takes a long time to transport passengers
between two far apart stations. We may suggest that set a direct shuttle train between two
long-distance stations to save time of the longhaul passengers.
Part I. Please develop a mathema�cal framework to op�mize the choice of the end sta�ons,
and evaluate the expected result of the suggest.
Part II. Explore any advantages you may achieve in terms of economic and social benefits if you
adjust the interval between trains or build a special direct line.
Part III. Write a two-page letter to the Mayor of your city summarizing your analysis. Include your
train schedule as the second page of your letter.
2
