数学建模摘要英文
-
摘要:
第一段:写论文解决什么问题
1
.
问题的重述
a.
介绍重点词开头:
例
1
:
p>
“Hand
move”
irrigation,
a
cheap
but
labor
-intensive
system
used
on
small
farms,
consists
of
a
movable
pipe
with
sprinkler
on
top
that
can
be
attached
to
a
stationary main.
例
2:
……is
a
real-life
common
phenomenon with many complexities
.
例
3
:
An
(effective plan) is crucial
to
………
b.
直接指出问题:
例
1
:
We find the
optimal
number of tollbooths in a
highway toll-plaza for a given
number
of
highway
lanes:
the
number
of
tollbooths
that
minimizes
average
delay
experienced by cars.
例
2
:
A
brand-new university needs to balance the cost of
information technology
security
measures with the potential cost of attacks on its
systems.
例
3
:
We
determine
the number
of
sprinklers
to
use
by
analyzing
the energy
and
motion
of
water
in
the
pipe
and
examining
the
engineering
parameters
of
sprinklers
available in the
market.
例
4:
After
mathematically
analyzing
the
……
problem,
our
modeling
group
would like to
present our conclusions
,
strategies
, (and
recommendations )to the
……
.
例
5
:
Our
goal is... that
(minimizes the time
)
………
.
2
.
解决这个问题的伟大意义
反面说明。如果没有
……
Without
implementing
defensive
measure,
the
university
is
exposed
to
an
expected
loss
of
$$8.9 million per year.
3
.
总的解决概述
a
.通过什么方法解决什么问题
例:
We
address
the
problem
of
optimizing
amusement
park
enjoyment
through
distributing Quick Passes (QP),
reservation slips that ideally allow an individual
to spend
less time waiting in line.
b
.实际问题转化为数学模型
例
1
We formulate
the problem as
a network flow
in which
vertices are the
locations
of escorts and wheelchair
passengers.
例
2
:
A
naï
ve
strategy
would
be
to
employ
the
minimum
number
of
escorts
to
guarantee that all passengers reach
their gates on time.
c.
将问题分阶段考虑
例
3
:
We
divide
the jump
into
three
phases
: flying through the
air, punching through
the stack, and
landing on the ground.
第二、三段:具体分析
1
.在什么模型中
/
建立了什么模型
a.
主流模型
例
1
:
We
formulate
a differential
model
to
account for
the rates of change of these
uses,
and
how
this
change
would
affect
the
overall
consumption
of
water
within
the
studied region.
例
2:
We
examined
the
mathematical
effects
of
…
…
.
We
developed
a
detailed
……
(simulation
methodology)
to
test
our
ideas
and
to
quantify
the
differences between (among) different
……
(strategies).
例
3
:
Bas
ed on
(write your basis .such as the
theory of supply and demand), we
establish
a model
(such as differential equation system that
includes demand, supply).
例
4
:
To
(write the aims), we
establish a
criterion
(write the
criterion).
b.
模型非主流
例
5
:
We
build a model to determine how to
lay
out the pipe each time the equipment
is
moved.
例
6
:
We
determine
…………
例
7
:
We
build a model to
determine
………
.
例
8
:
We
formulate a model for
………
By
analyzing
…
and
p>
examining
…
..
2
.分析模型(使用什么
数据,怎么做,一般三句话)
a.
写历史数据
例
1
:
Using historical data
from
the United States,
we
determine initial conditions for
our
model.
b.
写计算机模拟
例
1
:
thi
s model leads to a computer simulation of
catch-can tests of the irrigation
system
and
……
例
2:
Software
packing reaches
………
by
calculating and
comparing
………
..
c.
运用数据模拟
例
1
:
to
ground this model in reality, we
incorporate
extensive
demographic
data
and
run
……
例
2
:
We
fit the modified model
to
data (such as 1970-2003.). We
conclude
that
(write
the last
conclude).
d.
讲详细分析
例
1
:
We
physically characterize the system
that
…
例
2
:
We
provide a strategy
(write
the logical strategy).
例
3
:
The
…
model is
(
efficient, intuitive, and
flexible
) and could
be
applied to
…
例
4
:
To
meet
the
needs
of
people
today
without,
we
establish
a
criterion
of
rati
onal
(
合理的标准
) oil
allocation(
分配
). <
/p>
3
.总结该模型的结果
/
得到什么结论
a.
说明不是最优但能产生作用
例:
We
show
that
this
strategy
is
not
optimal
but
can
be
improved
by
assigning
different numbers……
b.
说明如果用这个模型,结果如何
例
1
:
If<
/p>
Delta
Airlines
were
to
utilize
the
naï
ve
strategy
at
Atlanta
International
Airport,
the cost would be
……
例
2
:
We
modify the model to reflect
(some trend such as
exponentially
increasing……
)