MS1 - W24
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University of Michigan *
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ME240
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Mechanical Engineering
Date
Feb 20, 2024
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ME250 | W24 | University of Michigan
MS1: Strategy Proposal (56 pts)
Due Friday, January 19th by 11:59 pm on Canvas
This is an
individual
assignment. Your assignment must be submitted as a
PDF
to Canvas by the above
due date. This assignment must be completed on
your own
. Your milestone assignment will be evaluated
on content and overall quality (i.e. organization, clarity, and readability).
The purpose of this milestone is to brainstorm strategies to play (and conquer) the Space Race. The
strategy is a way to play the game and win;
what
the RMPs in each zone should be doing rather than
how
they should be doing it. To be creative and explore all the possible strategies,
you should avoid any
specific machine design concept at this stage
in the design process. For example, instead of saying “an
all-wheel-drive RMP will use an arm to lift the cube” (how to do something), the strategy should just
include statements like “the RMP will lift the cube” (what it should be doing). As a result, your strategy
won’t constrain the design to one with wheels and an arm. You want to think on a broader, higher level at
this point.
You are encouraged to generate many strategies in Parts 1 and 2 of this assignment, but only choose two
to submit. The submission requirements are detailed below.
Make a copy of the
template
provided on canvas and save it to your computer to complete this
assignment.
TEMPLATE:
https://docs.google.com/document/d/1qZJLakpfXVm4fbfdMlcSkcnIzBmLcmNLtCcBlkYBXlg/edit?usp=
sharing
1.
Read the
rules document
on the Home page of Canvas, and make sure you are familiar with the
overall challenge of the game, the game rules, and the scoring scheme. Come up with
TWO
different strategies for the Space Race competition with each strategy involving a total of
four
RMPs. These strategies should be written in complete sentences as either a paragraph or bulleted
list. Your strategies should at least include the decisions on the following items:
a.
Picking up cubes: the number of cubes to pick up at a time and the priority of the cubes
(
i.e.
, from the RMP’s own zone or from other zones).
b.
Transporting cubes through the course: the routes that the RMP will take and the way to
overcome the challenges along the routes.
c.
Delivering cubes to different zones or to the GOAL: the number of cubes to deliver at a
time and the location of delivery, including your choice of GOAL.
d.
How can you take advantage of the number of cubes in each zone?
e.
How should your RMPs prioritize cubes of different colors and GOALs of different
multipliers?
f.
In each zone, is there any interaction required between RMPs? For example, will one
RMP require the next RMP to be at a specific place in the next zone to complete the
delivery?
2.
Answer the following to reflect on
BOTH
of the generated strategies, and narrow down to a
strategy to pitch to the rest of the squad.
a.
Discuss advantages and disadvantages of each strategy, leveraging the scoring and rules
of the game. Provide at least one advantage (strength) and at least one disadvantage
(weakness) for each strategy.
b.
Determine which of the strategies you think is the best, and why?
i.
Feel free to list an additional strategy that combines aspects from both strategies
if comparing the two generates any new ideas
ii.
Describe the reason why you selected your chosen strategy
iii. Using the worksheets on the
last pages
, sketch the movement of each RMP
according to your chosen strategy. Choose four significant moments, and draw
the snapshots of those moments to describe the motion over time. Draw RMPs as
squares, and use arrows and text to indicate the motions that each RMP will take
during the game. (
Note:
Each moment should include all four RMPs doing
something
)
3.
List at least three risks for your selected squad strategy described in Part 2 (what could go
wrong), and methods of addressing each of the risks (how your squad could react).
4.
Consider possible outcomes from the risks in Part 3 and list the best, the average, and the worst
outcomes you would expect. Predict a score and probability for each outcome. Write one or two
sentences justifying your choice of the score and probability for each outcome. Expected score for
your strategy can be calculated using the formula below:
-------------------------------------------------
Below is an example
---------------------------------------------
Best outcome: Everything works well; each RMP can transport cubes through zones…
●
Flag is planted by RMP 2
●
RMP 4 passes all 10 alien cubes to the rocket
●
… (include details for all other RMPs)
Delivery Location
Area 51
Rocket
Mineral Cube
Alien
Power
Source
Mineral Cube
Alien
Power
Source
Number of Cubes
10
10
5
Score
2
8
4
Disrupting the
Asteroid
10 pts.
Planting the Flag
15 pts.
Artificial Stars
1 pt. Each
Bonus for all Stars
5 pts.
Total Points
(Max):
120+10+15+10+5=160
PREDICTED SCORE = 160
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Average outcome: All cubes get placed in Area 51…
●
Asteroid disrupted by RMP 1
●
Flag is not planted by RMP 3
●
… (include details for all other RMPs)
Delivery Location
Area 51
Rocket
Mineral Cube
Alien
Power
Source
Mineral Cube
Alien
Power
Source
Number of Cubes
10
10
5
Score
1
4
2
Disrupting the
Asteroid
10 pts.
Planting the Flag
15 pts.
Artificial Stars
1 pt. Each
Bonus for all Stars
5 pts.
Total Points
60+10+10+5=85 points
PREDICTED SCORE = 85
Worst outcome: Most strategies do not work (
be more specific
)…
●
No cubes are scored by RMP 1,2,3
●
Stars are all activated by RMP 4
●
… (include details for all other RMPs)
Delivery Location
Area 51
Rocket
Mineral Cube
Alien
Power
Source
Mineral Cube
Alien
Power
Source
Number of Cubes
Score
Disrupting the
Asteroid
10 pts.
Planting the Flag
15 pts.
Artificial Stars
1 pt. Each
Bonus for all Stars
5 pts.
Total Points
(Max):
10+5=
15 points
PREDICTED SCORE = 15
In this example, we expect the average outcome would have a 50% chance. And for the other half of
the probability, the squad would have an equal chance to do very well or rather poorly. Therefore, the
probability of 100% would be distributed into the three outcomes: 50% for the average, 25% for the
best, and 25% for the worst. (Your probability values may be different, but they must add up to
100%.) So, the expected score can then be calculated as shown below:
-------------------------------------------------
Above is an example
--------------------------------------------
Be prepared to discuss the results of your expected score with your squad in the lab. This expected
score technique should help in deciding the strategies you and your team will move forward with
throughout the semester.
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MOMENT 1
MOMENT 2
MOMENT 3
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MOMENT 4
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