Homework Assignment
EM 530 Applications in Constraints
Management
Manual Simulation: The Dice Game
And Your Assignment!
And, Getting Used to On-Line Education
James R. Holt, Ph.D., PE
Professor
Engineering Management
jholt@wsu.edu
http://etm.wsu.edu/
© Washington State University-2013
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TOC Overview
• I’m glad to have you in class! There is so much to learn about the
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Theory of Constraints.
We will study several different aspects of TOC in an effort to see the
similarities between them (take a more holistic approach).
You will see that each part of TOC improves your understanding of the
other parts.
If you haven’t seen the TOC Overviews I made public, I suggest you
view them. They will help you better understand where we are going
and how TOC fits into different environments
Videos:
http://www.wsu.edu/~engrmgmt/holt/em526/ConstraintsOverview/TOCOverViews.htm
© Washington State University-2013
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Welcome to the Self Study portion of
EM 530 Applications in Constraints
Management
• Now you are on board and
Did you Know?
I never sleep. You can call almost any time.
I know you have questions at odd times.
I’m usually available from 7:00 AM to 8:00 PM
Monday through Friday at my Home Office:
540-412-5315 when I’m not in class.
You can also send email to me (or even the
full class) in ANGEL (https://lms.wsu.edu/)
using the <Communicate> Tab.
•
figured out how to get this file,
you are on your way to learning
the theory and practice of the
Theory of Constraints Proven
Solutions.
These self study portions, give
you lecture type material,
interactive assignments and
future information to assist you
in your study of texts, software
and other materials.
My direct email is jholt@wsu.edu
© Washington State University-2013
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More About the On-Line Course
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Inside ANGEL, the <Communicate> Tab shows you the days Elluminate
WebStreamed Lecture. You can search for archived lectures too.
You can also click on the Calendar to find the WebStream for that day.
I encourage you to attend live, if at all possible. When you are watching a recording,
it’s just too easy to walk away and thing, “If I need this stuff, I can always watch this
lecture later.” But, later you will be out of sequence and it will be hard to find what
you need to know.
© Washington State University-2013
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Class Documents
• The class document (syllabus, homework status sheet, handouts,
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software downloads, homework assignments, nice to have things,
and misc. links) are all available in ANGEL under the <Lessons> tab.
You need to check the class homework page to see if you are
enrolled and on my grading sheet. Check out the Homework Status .
The Dice Game Assignment (Homework #1) is explained later in this
presentation.
Due Dates: When assignments are made, try to do them right away.
It is much easier on you. If you get behind, it will be much harder
and you won’t understand the other materials I’m presenting.
Otherwise, I’m flexible. This is a self paced course. If you want, you
can move ahead of the rest of the class and study on your own, even
do the homework early.
© Washington State University-2013
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Now for the Homework.
The Dice Game-Set Up
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Processes (move token
across the line)
Storage areas for Workin-Process
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A B C D E F
RM
FG
Storage of Raw
Material and Finished
Goods
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For your homework, I want you to
simulate the ‘match game’ found
in The Goal, pages 104-112. But
we will do it in a more fun way.
You will need six fair dice (one die
will do if you share).
Gather some tokens (lima beans,
marbles, or toothpicks work well.
Note: Jelly beans and chocolate
chips tend to disappear)
Get two cups, one for Raw
Material and one for Finished
Goods
Arrange your play area as on the
left. Create Six Processes (A, B,
C, D, E, F) between Raw Material
and Finished Goods.
© Washington State University-2013
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The Play
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A B C D E F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
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The Play
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Day 1.
A Rolls a 5
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A B C D E F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
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The Play
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Day 1.
A Rolls a 5, B Rolls a 3
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A B C D E F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
9
The Play
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Day 1.
A Rolls a 5, B Rolls a 3, C Rolls a
3
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A B C D E F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
10
The Play
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Day 1.
A Rolls a 5, B Rolls a 3, C Rolls a
3, D Rolls 6
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A BB CC DD EE F F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
11
The Play
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Day 1.
A Rolls a 5, B Rolls a 3, C Rolls a
3, D Rolls 6, E Rolls a 2
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A B C D E F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
12
End of Day One
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Day 1.
A Rolls a 5, B Rolls a 3, C Rolls a
3, D Rolls 6, E Rolls a 2, F Rolls 1
and puts it in the cup.
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A B C D E F
RM
FG
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You play the game for ten days, one day
at a time(each process gets to roll a die
ten times-once each day-in the order
prescribed).
The work progresses from left to right.
Each day, A rolls first, takes however
many tokens are rolled from the RM cup
and moves them across the line to the
WIP (Work in Process) location between
Line A and B.
B then rolls and tries to move tokens
from the left WIP location between A and
B to the right WIP location between B
and C, if available.
Click a few times and I’ll show you the
sequence.
© Washington State University-2013
13
The Play Continues
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Day 2 starts with the WIP (tokens in places left from Day 1) and continues in the
same fashion.
Starting Day 2, worker A rolls, takes from the RM cup and moves more tokens
to the space between A and B. Each process takes it’s turn moving tokens
during the day.
The last process F ends the day by rolling an moving the number of tokens
shown on the die (if they are available) into the FG cup.
All players move the maximum of what they roll or what inventory is available to
process for that day’s roll.
A B C D E F
RM
FG
© Washington State University-2013
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The Results
• Now, we play for ten days. How many tokens will be in the Finished
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Goods Cup? Take a guess before you play.
Each die averages 3.5 dots per roll. There are 10 rolls. Each process
should produce 35 dots on the average over ten days.
Do you expect 35 in the FG Cup?
To make sure we understand what is happening in this game, lets keep
some records. For one, we need to make sure we are using Fair Die.
?
A B C D E F
RM
FG
© Washington State University-2013
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Keeping Track of our Rolls
• Keep track of the rolls you make. Make
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Process
A
B
C
5
3
3
2
4
2
1
5
3
and so on …
D
6
5
2
E
2
1
4
F
1
4
6
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Sum Totals for each Process
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sure each process (die) produces as
the company expects--close to 35.
In fact, lets reward the workers.
Any process who rolls better than 35
dots in 10 days receives a “Superior
Performance Award”
Any process who does better than 40
receives a “Sustained Superior
Performance Award”
But, if any process rolls less than 25
dots, we will have to let them go.
Your Team will probably earn a few
Awards.
© Washington State University-2013
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Keep Track of Your Inventory
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When you finish the Dice Game, you will have some unexpected results. We need to
produce at least 30 items to make a profit. The plant has such a bad history, one more 10
day period of loss (deliveries below 30) and we will have to close the plant.
So, you’ll probably want to keep records of your inventory so you can figure out what
happened. Record the WIP (Work in Process) remaining between each workstation at the
end of each day as you go. Similar to below:
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Process
A Wip B Wip
5
2 3 0
2
0 4 2
1
0 5 0
and so on …
C Wip D Wip E
3 0 6 1 2
2 0 5 2 1
3 1 2 0 4
__ __ __ __ __ __ __
Sum Totals for each Process
Wp
1
0
0
F
1
4
6
FG FG Total
1
1
2
3
4
7
You see the WIP changes as the days
go by. If you want, you can calculate
the average WIP for each position to
see who is the problem.
Knowing the WIP at the End of the 10
periods also helps you understand
your system.
© Washington State University-2013
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Report to Dr Holt
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Play the Dice Game for ten days. Record the individual Process results.
Determine which of your Processes received which awards (or were laid off).
Summarize this record for Dr Holt.
Submit in your record along with your observations about this simple game by
email to jholt@wsu.edu.
Some of you are pretty concerned about my letting a person go if they produce
less than 25 parts. But, this is a very rare case. Rolling a fair die multiple times
soon generates a near normal distribution. There is less than a 5% chance of
producing less than 25 dots in ten rolls.
Besides, this is more than generous in light of our production demands.
Cooperate has told us, “If you don’t produce at least 30 tokens in that FG Cup,
they are going to close the plant!”
What we want is everyone to do good so we can keep the plant open.
In your report, determine if the plant will remain open or not. Make any
recommendations you want on how to improve the plant.
© Washington State University-2013
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More on Dice Games
• Some of you will find the Dice Game fascinating. You will play it
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over and over and dumbfound your friends.
That’s ok, but don’t blame me if your social life goes to pot.
If you can’t get enough, you can try a few more options I’ve
documented at:
http://www.wsu.edu/~engrmgmt/holt/em530/Docs/DiceGames.htm
• And, if you invent some better dice games, let me know
• For now, KEEP THINKING!
• Dr Holt
© Washington State University-2013
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