lecture 01 course overview - purdue university · 2020. 3. 16. · the need for studying decisions...
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Lecture 01Course Overview
Jitesh H. Panchal
ME 597: Decision Making for Engineering Systems Design
Design Engineering Lab @ Purdue (DELP)School of Mechanical Engineering
Purdue University, West Lafayette, INhttp://engineering.purdue.edu/delp
August 22, 2019ME 597: Fall 2019 Lecture 01 1 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Introduction
Jitesh H. PanchalAssociate Professor
School of Mechanical EngineeringPurdue University
At Purdue since Fall 2012
Assistant Professor at Washington State University (2008-2012)
Visiting Assistant Professor at Georgia Tech (2006-2008)Education
Ph.D. in Mechanical Engineering, Georgia Tech (2005)M.S. in Mechanical Engineering, Georgia Tech (2003)B.Tech. in Mechanical Engineering, Indian Institute of Technology, Guwahati(2000)
ME 597: Fall 2019 Lecture 01 2 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Lecture Outline
1 The Need for Studying DecisionsExamples of decisions in designFlaws in decision making methods
2 Decision Making: Normative and Descriptive TheoriesHow SHOULD decisions be made?How do humans ACTUALLY make decisions?
3 ApplicationsProduct DesignSystems Design
4 Course StructureCourse contentsGrading scheme and Assignment 1
ME 597: Fall 2019 Lecture 01 3 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
What is Design?
Designing is the process of converting information about needs andrequirements for a product/system into a complete specification of thatproduct/system.
Role of decisions in design:
Design is to a large extent decision making.
Design involves deciding on the most preferred system alternative.
Can you think of decisions made in the design process?
ME 597: Fall 2019 Lecture 01 4 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Who are the decision makers?
Decisions are everywhere...
1 Decisions made by customers in choosing products to purchaseProduct selection...
2 Designers as decision makersConcept selection...
3 Responding to decisions made by competitorsPricing...
4 Others?
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Example – Decisions Made by Customers
ME 597: Fall 2019 Lecture 01 6 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Example – Decisions are Made Throughout a Product/System Lifecycle
Pilot Production
Production
Feasibility and
Concept
Detailed Design
Maintenance
& Support
Sales &
Distribution
Production
Testing
Detail
Design
Concept
Design
Portfolio
Planning
Product Lifecycle
Design
Reviews
Gate
Reviews
Concept Design
Review
Preliminary
Design ReviewFinal Design
Review
Production
Readiness ReviewProgram
Close-out
Program
Approval
Design Phase
Approval
Pilot Phase
Approval
Slide courtesy: Chris Paredis
ME 597: Fall 2019 Lecture 01 7 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Example – Decisions Made by Designers
Conceptual design – morphological matrix
ME 597: Fall 2019 Lecture 01 8 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Example – Decisions Made by Designers and Manufacturers
ME 597: Fall 2019 Lecture 01 9 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Example – Decisions in Autonomous Transportation Systems
J.F. Bonnefon, A. Shariff, I. Rahwan, 2016, The Social Dilemma of AutonomousVehicles, Science, Vol. 352, No. 6293, pp. 1573-1576.
ME 597: Fall 2019 Lecture 01 10 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Why do we need to study decision making?
Because poor decisions increase the likelihood of poor outcomes!
Poor decisions can result from:1 Flawed decision making methods2 Human biases
ME 597: Fall 2019 Lecture 01 11 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Example 1: Voice of the Customer
Question
What is your preferred choice of product color? A,B,C,D, or E
A = Black
B = Blue
C = White
D = Red
E = Pink
Survey Results (100 customers):45 prefer A
25 prefer B
17 prefer C
13 prefer D
No one prefers E
Inference from the Survey: A > B > C > D > E
Hazelrigg, G. A., 2003, Validation of Engineering Design Alternative Selection Methods,Engineering Optimization, Vol. 35, No. 2, pp. 103-120.
ME 597: Fall 2019 Lecture 01 12 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Preference Ordering
If designer considers preference ordering instead of just the top alternative,the following results are seen:
45 customers: A > E > D > C > B
25 customers: B > E > D > C > A
17 customers: C > E > D > B > A
13 customers: D > E > C > B > A
Verify that this preference structure will give the same results as seen onprevious slide.
In fact, there are 120 such preference orderings that will give same survey results.ME 597: Fall 2019 Lecture 01 13 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Preference Ordering (contd.)
1 Count the number of customers that prefer A to E... = ???
2 Count the number of customers that prefer E to A... = ???
Perform similar pair wise comparisons for each pair.
What is the customers’ ACTUAL preference?
ME 597: Fall 2019 Lecture 01 14 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Examples of decisions in designFlaws in decision making methods
Preference Ordering (contd.)
1 Number of customers that prefer A to E... = 45
2 Number of customers that prefer E to A... = 55
By performing similar pair wise comparisons, it can be seen that thecustomers’ actual preference is: E > D > C > B > A, which is exactlyopposite of the survey results!!!
Conclusion
The method is not reliable!!!
It is also possible that there is no alternative preferred by the group.ME 597: Fall 2019 Lecture 01 15 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
The Process of Making a Decision
So, how SHOULD you make decisions?Is there a correct method?
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Favorable Properties of a Selection Method
1 The method should not impose preferences on the designer, that is,the alternatives should be ranked in accordance with the preferences ofthe designer.
2 The method should permit the comparison of design alternatives underconditions of uncertainty and with risky outcomes, including variabilityin manufacture, materials, etc., which pervade all of engineering design.
3 If the method recommends design alternative A when compared to theset of alternatives S{B,C,D, . . . }, then it should also recommend Awhen compared to any reduced set SR , such as {C,D, . . . } or{B,D, . . . } or {D, . . . }, etc.
Hazelrigg, G. A., 2003, ”Validation of Engineering Design Alternative Selection Methods,”Engineering Optimization, Vol. 35, No. 2, pp. 103-120.
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Favorable Properties of a Selection Method (contd.)
4 The method should make the same recommendation regardless of theorder in which the design alternatives are considered.
5 The method should be such that the addition of a new alternativeshould not make existing alternatives appear less favorable.
6 The method should be such that obtaining clairvoyance on anyuncertainty with respect to any alternative must not make the decisionsituation less attractive (information is always beneficial).
7 The method should be self-consistent and logical, that is, it should notcontradict itself and it should make maximum use of availableinformation for design alternative selection.
Hazelrigg, G. A., 2003, ”Validation of Engineering Design Alternative Selection Methods,”Engineering Optimization, Vol. 35, No. 2, pp. 103-120.
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Basic Elements of a Decision
Decision
A1
A2
An
O11
O12
O1k
O21
O22
O2k
On1
On2
Onk
U(O11)
U(O12)
U(O1k)
U(O21)
U(O22)
U(O2k)
U(On1)
U(On2)
U(Onk)
Select Ai
p11
p1k
p21
p1k
pn1
pnk
Alternatives Outcomes Preferences Choice
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Utility-theory for decision making
[vonNeumann and Morgenstern]
IF an appropriate utility is assigned to each possible consequence,AND the expected utility of each alternative is calculated,
THEN the best course of action is the alternative with the highest expectedutility.
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Behavioral Axioms
Behavioral axioms that form the basis of expected utility:Ordering of alternatives: Decision maker can order any twoalternatives and the ordering is transitive.Transitivity : If A1 � A2,A2 � A3, then A1 � A3
Reduction of compound uncertain events using complicated mixturesof lotteries using probability theory.
〈x∗, 0.2, x0〉 ∼ ???
〈〈x1, 0.2, x2〉, 0.5, 〈x3, 0.5, x4〉〉 ∼ 〈 ??? , 0.2, x0〉
〈〈(x1, y1), 0.2, (x2, y2)〉, 0.5, 〈(x3, y3), 0.5, (x4, y4)〉〉 ∼ 〈 (???, ???) , 0.2, (x0, y0)〉
Substitutability: reverse of reduction (i.e., the decision maker is willingto substitute a deterministic outcome with a lottery).
Clemen, R. T. (1996). Making Hard Decisions: An Introduction to Decision Analysis. Belmont,CA, Wadsworth Publishing Company. Chapter 14.
ME 597: Fall 2019 Lecture 01 21 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Behavioral Axioms (contd.)
Continuity: If A1 � A � A2, then we can construct a lottery between A1
and A2 with probability 0 ≤ p ≤ 1 so that the decision maker isindifferent between A and the lottery.
Monotonicity: Decision maker prefers the gamble which has higherprobability of achieving the preferred outcome.
Invariance: All that is needed to determine a decision maker’spreferences among uncertain events are the payoffs and the associatedprobabilities.
Finiteness: No consequences are infinitely good or infinitely bad.
Clemen, R. T. (1996). Making Hard Decisions: An Introduction to Decision Analysis. Belmont,CA, Wadsworth Publishing Company. Chapter 14.
ME 597: Fall 2019 Lecture 01 22 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Do people follow this normative model?
Do people really satisfy these behavioral axioms?Are people rational (as defined)?
ME 597: Fall 2019 Lecture 01 23 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Tversky and Kahneman
Kahneman: 2002 Nobel Memorial Prize in Economic Sciences
“People reply on a limited number of heuristic principles which reduce thecomplex task of assigning probabilities and predicting values to simplerjudgmental operations.”
Examples of heuristics that people use in assessing probabilities:
1 Representativeness2 Availability3 Adjustment and anchoring
The use of these heuristics can lead to systematic errors!
Tversky, A. and Kahneman, D., 1974, “Judgment under Uncertainty: Heuristics and Biases,”Science, 185(4157), pp. 1124-1131.
ME 597: Fall 2019 Lecture 01 24 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Representativeness:Estimating Probability from Similarity
“Steve is a very shy and withdrawn, invariably helpful, but with little interest inpeople, or in the world of reality. A meek and tidy soul, he has a need fororder and structure, and a passion for detail.”
Assess the probability that Steve is engaged in a particular occupation:
farmer
salesman
airline pilot
librarian
physician
ME 597: Fall 2019 Lecture 01 25 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Representativeness:Insensitivity to prior probability of outcomes
Consider a school in a research university with 70 graduate students and 30faculty members.
John is a 30 year old man. He is married with no children. A man of highability and high motivation, he promises to be quite successful in his field. Heis well liked by his colleagues.
Assess the probability that John is a faculty member.
ME 597: Fall 2019 Lecture 01 26 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Representativeness:Misconceptions of chance
In a sequential coin toss, which sequence is more likely?
“H-T-H-T-T-H”or
“H-H-H-T-T-T”or
“H-H-H-H-T-H”
Expectation that a sequence of events generated by a random process will represent theessential characteristics of that process even when the sequence is short.
ME 597: Fall 2019 Lecture 01 27 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
Representativeness:Misconceptions of chance
Gambler’s Fallacy: Chance is viewed as a self-correcting process in whichdeviations in one direction induces a deviation in the opposite direction torestore the equilibrium.
In reality, deviations are not “corrected”, they are merely diluted.
ME 597: Fall 2019 Lecture 01 28 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
2. Availability
Situations in which people assess the frequency of a class or the probabilityof an event by the ease with which instances or occurrences can be broughtto mind.
Are there more words in the English language that start with ‘r’ than wordswith ‘r’ as the third letter?
ME 597: Fall 2019 Lecture 01 29 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
How SHOULD decisions be made?How do humans ACTUALLY make decisions?
In Summary
1 Most decision support tools in design and systems engineering (e.g.,QFD, Six Sigma, Pugh, Robust Design, Axiomatic Design, etc.) violatethe basic principles of decision theory. These methods are flawed, or atbest, rough approximations of normative decision theory.
Therefore, we must understand what the approximations are, and when thesemethods can be used safely.
2 Humans typically do not follow the basic principles of decision theory.They exhibit biases and follow heuristics for making decisions.
Therefore, we must understand how humans deviate from the ideal decisionmaking behaviors.
ME 597: Fall 2019 Lecture 01 30 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Applications
Applications in Engineering Design and Systems Engineering (EDSE)
1 Product design2 Systems design
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Multi-level Design
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Decisions in Modeling and Simulation
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Decisions Made by Analysts (contd.)
ME 597: Fall 2019 Lecture 01 34 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Decisions Made by Participants in Open Innovation
ME 597: Fall 2019 Lecture 01 35 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Failures in Space Systems
ME 597: Fall 2019 Lecture 01 36 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Decisions Made by Participants in Power Systems
ME 597: Fall 2019 Lecture 01 37 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Product DesignSystems Design
Decisions Made by Participants in Air Transportation System
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Introduction to ME 597
So, what is this course about?
ME 597 – Decision Making for Engineering Systems Design
Catalog Data: Multi-objective decision making under uncertainty;multi-attribute utility theory; applications to engineering design;Game-theoretic models with applications in engineering systems design;design for market systems; optimization-based formulation of Nash equilibria;applications to sustainable design and policy.
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Course Objectives
Upon completion of this course, students should be able to:1 Frame decisions and model designers’ preferences under risk2 Apply formal decision-making approaches to engineering design and
systems engineering3 Critically evaluate the assumptions and limitations of design decision
making approaches4 Formulate and execute decisions in presence of other decision makers
using game theoretic models5 Apply game-theoretic models to engineering systems design6 Adopt an interdisciplinary approach among engineering, economics, and
social sciences
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Overview of Topics
Context (2 weeks)Course overviewRole of decision making in Engineering Systems Design (ESD)Limitations of some popular decision making methodsElements of a decision problem
Normative Decision Theory (3 weeks)Tradeoffs and decision making under certaintyModeling uncertaintyMulti-attribute Utility theory
Applications in Engineering Systems Design (3 weeks)Utility-based selection in designDemand modelingSimulation-based design and experimentation
ME 597: Fall 2019 Lecture 01 41 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Overview of Topics (continued)
Descriptive Decision Theory (2 weeks)Deviations from rationalityDescriptive decision theories
Multiple decision makers (1 week)Group preferences and aggregation of preferencesCollective decision making
Interactive Decisions with Applications (4 weeks)Strategic and extensive form gamesNash equilibriumApplications in ESD: Design for market systems; Negotiation protocols forsystems design; Open source product development; CrowdsourcingOverview of mechanism design
ME 597: Fall 2019 Lecture 01 42 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Grading Scheme
Assignments 30%Mid-term Project 30%Final Project 40%
ME 597: Fall 2019 Lecture 01 43 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Assignment 1
1 Basic information about yourself (name, employer, role, thesis advisor,research area, etc.)
2 Pedagogical goalsWhat were you expecting to learn when you registered for this course?Describe how this course relates to your longer-term goals.Having participated in the first lecture what are the three main learningobjectives that you will strive to achieve in this course?
Submission:1 Assignment 1 must be submitted online on Blackboard. Due Date:
Monday, August 26, 2019
ME 597: Fall 2019 Lecture 01 44 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Key References
1 R. T. Clemen, 1996, Making Hard Decisions: An Introduction to DecisionAnalysis. Belmont, CA: Wadsworth Publishing Company.
2 R. L. Keeney and H. Raiffa, 1976, Decisions with Multiple Objectives:Preferences and Value Tradeoffs. New York: John Wiley and Sons.
3 R. Hastie and R.M. Dawes, 2010, Rational Choice in an UncertainWorld: The Psychology of Judgment and Decision Making, 2nd Edition,Sage Publications.
4 P.K. Dutta, 1999, Strategies and Games: Theory and Practice,Cambridge, MA: MIT Press.
ME 597: Fall 2019 Lecture 01 45 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Additional References
1 G. A. Hazelrigg, 2012, Fundamentals of Decision Making ForEngineering Design and Systems Engineering:http://www.engineeringdecisionmaking.com.
2 R. A. Howard and A. E. Abbas, 2016, Foundations of Decision Analysis,Pearson Education.
3 R. L. Keeney, 1992, Value Focused Thinking. Cambridge, MA: HarvardUniversity Press.
4 K. E. Lewis, W. Chen, and L. C. Schmidt, eds., 2006, Decision Making inEngineering Design. New York, NY: ASME press.
5 W. Chen, C. Hoyle, H.J. Wassenaar, 2013, Decision-based Design:Integrating Consumer Preferences in Engineering Design, SpringerUSA.
6 R. B. Myerson, 1991, Game Theory: Analysis of Conflict. Cambridge,MA: Harvard University Press.
7 C. D. Aliprantis and S. K. Chakrabarti, 1999, Games and DecisionMaking. New York: Oxford University Press.
8 D. Fudenberg and J. Tirole, 1993, Game Theory. Cambridge, MA: MITPress.
ME 597: Fall 2019 Lecture 01 46 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Emergency Preparedness – A Message from Purdue (1)
To report an emergency, call 911. To obtain updates regarding an ongoingemergency, sign up for Purdue Alert text messages, viewwww.purdue.edu//ea.
There are nearly 300 Emergency Telephones outdoors across campus and inparking garages that connect directly to the PUPD. If you feel threatened orneed help, push the button and you will be connected immediately.
If we hear a fire alarm during class we will immediately suspend class,evacuate the building, and proceed outdoors. Do not use the elevator.
ME 597: Fall 2019 Lecture 01 47 / 49
The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
Emergency Preparedness – A Message from Purdue (2)
If we are notified during class of a Shelter in Place requirement for a tornadowarning, we will suspend class and shelter in [the basement].
If we are notified during class of a Shelter in Place requirement for ahazardous materials release, or a civil disturbance, including a shooting orother use of weapons, we will suspend class and shelter in the classroom,shutting the door and turning off the lights.
Please review the Emergency Preparedness website for additionalinformation.http://www.purdue.edu/ehps/emergency_preparedness/index.html
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The Need for Studying DecisionsDecision Making: Normative and Descriptive Theories
ApplicationsCourse Structure
Course contentsGrading scheme and Assignment 1
THANK YOU!
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