Decision Making
Chapter 9 of your textbook provides most of the discussion on decision-making. However, we start this module with a few basic principles of decision making.
Problems with Attributes and Objectives
1. What if one attribute (X1) measures 2 objectives (O1 and O2)?
X1 = tons of SO2 emitted per year O1 = minimize health impacts O2 = minimize environmental impacts (acid rain) Answer: change X1 to Oi (minimize SO2 emitted)
2. What if one objective (O1) has 2 attributes ( X1 and X2)?
O1 = minimize environmental impacts X1 = acres of farmland X2 = # of rare speciesAnswer: make two objectives ( X1 and X2 become the two objectives)
3. What if attributes overlap?
O1 = minimize costs O2 = minimize transportation X1 = $ / ton of waste X2 = miles of transportAnswer: redefine X1 and O1 (e.g., cost to develop facility or cost to treat waste)
4. What if attributes are incomplete?
O1 = minimize health impacts X1 = # of deathsAnswer: find a better attribute
Breakeven Analysis
1. Decision Matrix: A table of attribute scores for each alternative.
Based on decision theory, the matrix tells us which alternative is most preferred. (e.g., "policy a" given below is most preferred because it has the highest total).
Env. Attributes:
alternative policies
air quality index
water quality index
total
policy a
3 9 12 policy b
7 1 8
2. Breakeven Matrix:
Breakeven analysis can simplify decisions. A breakeven matrix is a table of scores which, if individually substituted into the above decision matrix, would give the alternatives an equal total score. (i.e., "breakeven") **
Env. Attributes:
alternative policies
air quality index
water quality index
total
policy a
1 5 12 policy b
11 5 8 * -- By definition, these indexes are scored 0 for the worst and 10 for the best.
** -- Breakeven tells us if changes in the decision matrix could affect our decision (that is, it tells us how sensitive the index scores are to our decision)
In the above breakeven matrix, 11 and -1 are impossible scores. Thus, changes or miscalculations in the air quality index are not likely to change our decision.
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