SlideShare a Scribd company logo
Analytical Hierarchy Process
Analytical Hierarchy Process
( AHP )
( AHP )
By Jennifer McBride
By Jennifer McBride
Operations Management
Operations Management
May 6, 2003
May 6, 2003
What is AHP ?
What is AHP ?
 According to
According to Operations Management
Operations Management 4th
4th
Edition by Russell and Taylor III it is a
Edition by Russell and Taylor III it is a
quantitative method for ranking decision
quantitative method for ranking decision
alternatives and selection the one given
alternatives and selection the one given
multiple criteria. AHP is a process for
multiple criteria. AHP is a process for
developing a numerical score to rank each
developing a numerical score to rank each
decision alternative based on how well each
decision alternative based on how well each
alternative meets the decision maker’s criteria.
alternative meets the decision maker’s criteria.
What does it answer ?
What does it answer ?
 The question “Which one do we choose?”
The question “Which one do we choose?”
or “Which one is best ?” by selecting the
or “Which one is best ?” by selecting the
best alternative that matches all of the
best alternative that matches all of the
decision maker’s criteria.
decision maker’s criteria.
What does it use ?
What does it use ?
 Simple mathematics
Simple mathematics
 criteria
criteria < set by the decision maker >
< set by the decision maker >
 preferences of that criteria
preferences of that criteria < also set by the decision
< also set by the decision
maker>
maker>
 the standard preference table
the standard preference table
Standard Preference Table
Standard Preference Table
PREFERENCE LEVEL
Equally preferred
Equally to moderately preferred
Moderately preferred
Moderately to strongly preferred
Strongly preferred
Strongly to very strongly preferred
Very strongly preferred
Very strongly to extremely preferred
Extremely preferred
NUMERICAL VALUE
1
2
3
4
5
6
7
8
9
Why not make up your own
Why not make up your own
preference table ?
preference table ?
 Because the standard preference table has
Because the standard preference table has
been determined by experienced researchers
been determined by experienced researchers
in AHP to be a reasonable basis for
in AHP to be a reasonable basis for
comparing two alternatives.
comparing two alternatives.
How is it used ?
How is it used ?
 Say you have two criteria. Cost and quality for
Say you have two criteria. Cost and quality for
product A & B. The cost for A= $60 and the
product A & B. The cost for A= $60 and the
quality is above average. The cost for B=$15
quality is above average. The cost for B=$15
and the quality is right at average. Which do
and the quality is right at average. Which do
you choose? By making a matrix the price of
you choose? By making a matrix the price of
B is very strongly preferred to A and A is only
B is very strongly preferred to A and A is only
moderately preferred to B. The matrices of
moderately preferred to B. The matrices of
these preferences would look like . . . .
these preferences would look like . . . .
Matrices of A and B
Matrices of A and B
 Since price B is very
Since price B is very
strongly preferred to the
strongly preferred to the
price of A. The score of
price of A. The score of
B to B is 7 and A to B is
B to B is 7 and A to B is
the reciprocal or inverse
the reciprocal or inverse
of 1/7
of 1/7
COST
A B
A 1 7
B 1/7 1
COST
A B
A 1 7
B 1/7 1
QUALITY
A B
A 1 1/3
B 3 1
Our sample problem
Our sample problem
Jilley Bean Co. is selecting a new location to
expand its operations. The company want to
use AHP to help it decide which location to
build its new plant. Jilley Bean Co. has four
criteria they will base their decision on these
are the following: property price, distance from
suppliers, the quality of the labor pool, and the
cost of labor. They have three locations to
decide from.
Matrices given criteria and
Matrices given criteria and
preferences
preferences
PRICE
A B C
A 1 3 2
B 1/3 1 1/5
C 1/2 5 1
PRICE
A B C
A 1 3 2
B 1/3 1 1/5
C 1/2 5 1
DISTANCE
A B C
A 1 6 1/3
B 1/6 1 1/9
C 3 9 1
LABOR
A B C
A 1 1/3 1
B 3 1 7
C 1 1/7 1
WAGES
A B C
A 1 1/3 1/2
B 3 1 4
C 2 1/4 1
 Showing that in preference in price
A and C are the equally preferred but
are preferred over B.
How it is done ~ STEP ONE
How it is done ~ STEP ONE
PRICE
A B C
A 1 3 2
+ + +
B 1/3 1 1/5
+ + +
C 1/2 5 1
= 11/6 9 16/5
 First sum (add up) all
the values in each
column.
PRICE
A B C
A 1 3 2
+ + +
B 1/3 1 1/5
+ + +
C 1/2 5 1
= 11/6 9 16/5
How it is done ~ STEP TWO
How it is done ~ STEP TWO
PRICE
A B C
A 111/6 = 6/11 39 = 3/9 216/5 = 5/8
+ + +
B 1/311/6 = 2/11 19 = 9 1/516/5 1/16
+ + +
C 1/211/6 = 3/11 59 = 5/9 116/5 = 5/16
= 1 1 1
 Next the values
in each column are
divided by the
corresponding
column sums.
NOTICE: the values in each column sum to 1.
How it is done ~ STEP THREE
How it is done ~ STEP THREE
PRICE
A B C Row Average
A 6/11 ~.5455 + 3/9~.3333 + 5/8~ .6250 = 1.5038 3 = .0512
B 2/11~.1818 + 1/9~.1111 + 1/16~.0625 = .3544 3 = .1185
C 3/11~.2727 + 5/9~.5556 + 5/16~.3803 = 1.2086 3 = .3803
1.000
 Next convert fractions to decimals and find the
average of each row.
How it is done ~ STEP FOUR
How it is done ~ STEP FOUR
Find the average for all the criterion by doing steps 1-3
on all the criteria. Arriving at the following
Location Price Distance Labor Wages
A .5012 .2819 .1790 .1561
B .1185 .0598 .6850 .6196
C .3803 .6583 .1360 .2243
How it is done ~ STEP FIVE
How it is done ~ STEP FIVE
Rank the criteria in order of importance ~use the same method
used in ranking each criterion.
Criteria Price Distance Labor Wages
Price 1 1/5 3 4
Distance 5 1 9 7
Labor 1/3 1/9 1 2
Wages 1/4 1/7 1/2 1
How it is done ~ STEP 6-9
How it is done ~ STEP 6-9

Repeat steps 1-4 with the new matrices. You should arrive at the following :
Repeat steps 1-4 with the new matrices. You should arrive at the following :
Criteria Price Distance Labor Wage Row Average
Price .1519 .1375 .2222 .2857 .1933
Distance .7595 .6878 .6667 .5000 .6535
Labor .0506 .0764 .0741 .1429 .0860
Wage .0380 .0983 .0370 .0714 .0612
1.000
Row average= preference vector
Row average= preference vector
for the criteria
for the criteria
CRITERIA
Price .1993
Distance .6535
Labor .0860
Wage .0612
 Clearly the price
of the land is #1,
followed by
distance to
suppliers, labor
pool quality, and
last cost of wages.
FINAL CALCULATIONS
FINAL CALCULATIONS
Location Price Distance Labor Wages
A .5012 .2819 .1790 .1561
B .1185 .0598 .6850 .6196
C .3803 .6583 .1360 .2243
CRITERIA
Price .1993
Distance .6535
Labor .0860
Wage .0612
X
Take the criteria matrix and multiple it by the preference vector
Location A score = .1993(.5012) + .6535(.2819) + .0860(.1790) +.0621(.1561) = .3091
Location B score = .1993(.1185) + .6535(.0598) + .0860(.6850) + .0612(.6196) = .1595
Location C score = .1993(.3803) + .6535(.6583) + .0860(.1360) + .0612(.2243) = .5314
And the results are . . .
And the results are . . .
LOCATION Score
A .3091
B .1595
C .5314
1.0000
Based on the scored Location C should be chosen for Jilley
Bean Co. to built a plant.
How is AHP is used in real life ?
How is AHP is used in real life ?
 Expert Choice a company that specializes in
Expert Choice a company that specializes in
AHP design software and performs services
AHP design software and performs services
with it. Some of their clientele are:
with it. Some of their clientele are:
 Ford Motor Company
Ford Motor Company
 Sprint PCS
Sprint PCS
 Department of Agriculture (USDA)
Department of Agriculture (USDA)
 Navy
Navy
 National Health Service of the United Kingdom
National Health Service of the United Kingdom
 Ferrari SpA in Italy
Ferrari SpA in Italy
How is AHP is used in real life ?
How is AHP is used in real life ?
 The USDA used it for the selection of bridge
The USDA used it for the selection of bridge
materials across the nation in several
materials across the nation in several
states.
states.
Is there anything AHP cannot be
Is there anything AHP cannot be
used for ?
used for ?
 Not really as long as the decision maker
Not really as long as the decision maker
has set criteria and set preferences of that
has set criteria and set preferences of that
criteria AHP can be used.
criteria AHP can be used.
References
References
 Russell, Roberta S. and Taylor III, Bernard W.
Russell, Roberta S. and Taylor III, Bernard W. Operations
Operations
Management 4th edition.
Management 4th edition. Upper Saddle river, New Jersey:
Upper Saddle river, New Jersey:
Prentice Hall, 2003.
Prentice Hall, 2003.
 Expert Choice Client List
Expert Choice Client List <http://expert
<http://expert
choice.com/customers/client list.htm
choice.com/customers/client list.htm
 Smith, Bush and Schmoldt.
Smith, Bush and Schmoldt. The Selection of Bridge
The Selection of Bridge
Materials Utilizing the Analytical Hierarchy Process.
Materials Utilizing the Analytical Hierarchy Process. 5
5
March 2003.
March 2003.
<http://www/srs4702.forprod.vt.edu/pubsubj/abstract/ab9760.
<http://www/srs4702.forprod.vt.edu/pubsubj/abstract/ab9760.

More Related Content

PPT
vdocuments.mx_supplier-selection-fuzzy-ahp.ppt
DOCX
Akshit gupta management_science
PPTX
Pairwise comparison of items and environment
PPTX
Methods of Weighting in Multicriteria Decision Making
PPTX
A B testing introduction.pptx
PPT
analityc hierarchy Process
PPT
IM426 3A G5.ppt
PPT
Brioneja Probabilistic Decision Analysis For Elastomeric Components Sep 16,...
vdocuments.mx_supplier-selection-fuzzy-ahp.ppt
Akshit gupta management_science
Pairwise comparison of items and environment
Methods of Weighting in Multicriteria Decision Making
A B testing introduction.pptx
analityc hierarchy Process
IM426 3A G5.ppt
Brioneja Probabilistic Decision Analysis For Elastomeric Components Sep 16,...

Similar to Lecture 1b AHP - Copy.pptwjsjw ww s d dd (20)

PDF
Control charts for variables
PPTX
Chapter 2b.pptx
DOCX
Selection of apartment using analytical hierarchy planning
DOCX
Qrb 501Education Specialist / snaptutorial.com
PPT
PPSX
Grade 8 math_review
PPTX
Multi criteria decision support system on mobile phone selection with ahp and...
DOCX
Scenario You are the VP of Franchise services for the Happy Buns .docx
PDF
Matt gershoff
PPT
Introduction to AHP Method - Examples and Introduction
PPTX
exploring the model over fit
PDF
Managing Human Resources 11th Edition Jackson Test Bank
PDF
Being Intentional: Privacy Engineering and A/B Testing
PDF
Engineering economy sample test #2 question
DOCX
Landmark Court CasesLaws passed by Congress are usually broad in.docx
DOCX
As mentioned earlier, the mid-term will have conceptual and quanti.docx
DOCX
Eucation UPSC CSAT
PPTX
SLIDESHARE PPT-DECISION MAKING METHODS.pptx
PDF
Managing Human Resources 11th Edition Jackson Test Bank
PDF
Managing Human Resources 11th Edition Jackson Test Bank
Control charts for variables
Chapter 2b.pptx
Selection of apartment using analytical hierarchy planning
Qrb 501Education Specialist / snaptutorial.com
Grade 8 math_review
Multi criteria decision support system on mobile phone selection with ahp and...
Scenario You are the VP of Franchise services for the Happy Buns .docx
Matt gershoff
Introduction to AHP Method - Examples and Introduction
exploring the model over fit
Managing Human Resources 11th Edition Jackson Test Bank
Being Intentional: Privacy Engineering and A/B Testing
Engineering economy sample test #2 question
Landmark Court CasesLaws passed by Congress are usually broad in.docx
As mentioned earlier, the mid-term will have conceptual and quanti.docx
Eucation UPSC CSAT
SLIDESHARE PPT-DECISION MAKING METHODS.pptx
Managing Human Resources 11th Edition Jackson Test Bank
Managing Human Resources 11th Edition Jackson Test Bank
Ad

More from AliRaza761916 (10)

PPT
13 Sources of Financing Debt and Equity.ppt
PPT
12 Managing Cash Flowf vvvvvvvvvvvvvvvvvvvvv.ppt
PPT
14 Choosing the Right Location and Layout.ppt
PPT
15 Global Aspects of Entrepreneurship.ppt
PPTX
Auotmation and control PLC intro and advance.pptx
PPTX
AI Tech Agency Infographics by Slidesgo.pptx
PPT
AHP2 - Copy.pptgsghqshwsvhsvhwvhwhwhvwvvwvhxwh
PPTX
Quality_Management_Presentsvdgvvsvxation.pptx
PDF
igc-learner-guide-v3.2-en.pdfbbbbbbbbbbbb
PPT
418563012-Staff-training-slideshow-7-HACCP-ppt.ppt
13 Sources of Financing Debt and Equity.ppt
12 Managing Cash Flowf vvvvvvvvvvvvvvvvvvvvv.ppt
14 Choosing the Right Location and Layout.ppt
15 Global Aspects of Entrepreneurship.ppt
Auotmation and control PLC intro and advance.pptx
AI Tech Agency Infographics by Slidesgo.pptx
AHP2 - Copy.pptgsghqshwsvhsvhwvhwhwhvwvvwvhxwh
Quality_Management_Presentsvdgvvsvxation.pptx
igc-learner-guide-v3.2-en.pdfbbbbbbbbbbbb
418563012-Staff-training-slideshow-7-HACCP-ppt.ppt
Ad

Recently uploaded (20)

PPTX
Fire Fighting Unit IV industrial safety.pptx
PPTX
Small Fleets, Big Change: Market Acceleration by Niki Okuk
PDF
Volvo EC300D L EC300DL excavator weight Manuals.pdf
PDF
intrusion control for clean steel 123.pdf
PPTX
Zeem: Transition Your Fleet, Seamlessly by Margaret Boelter
PPTX
Small Fleets, Big Change: Overcoming Obstacles in the Transition to MHD Elect...
PPTX
Understanding Machine Learning with artificial intelligence.pptx
PDF
Caterpillar CAT 311B EXCAVATOR (8GR00001-UP) Operation and Maintenance Manual...
PDF
Volvo EC290C NL EC290CNL Hydraulic Excavator Specs Manual.pdf
PDF
How Much does a Volvo EC290C NL EC290CNL Weight.pdf
PDF
Life Cycle Analysis of Electric and Internal Combustion Engine Vehicles
PPTX
Gayatri Cultural Educational Society.pptx
PPTX
Transmission system. Describe construction & working of varius automobile sys...
PPT
Kaizen for Beginners and how to implement Kaizen
PDF
Honda Dealership SNS Evaluation pdf/ppts
PDF
Marketing project 2024 for marketing students
PDF
Volvo EC290C NL EC290CNL excavator weight.pdf
PDF
Presentation.pdf ...............gjtn....tdubsr..........
PPTX
Independence_Day_Patriotic theme (1).pptx
PDF
harrier-ev-brochure___________________.pdf
Fire Fighting Unit IV industrial safety.pptx
Small Fleets, Big Change: Market Acceleration by Niki Okuk
Volvo EC300D L EC300DL excavator weight Manuals.pdf
intrusion control for clean steel 123.pdf
Zeem: Transition Your Fleet, Seamlessly by Margaret Boelter
Small Fleets, Big Change: Overcoming Obstacles in the Transition to MHD Elect...
Understanding Machine Learning with artificial intelligence.pptx
Caterpillar CAT 311B EXCAVATOR (8GR00001-UP) Operation and Maintenance Manual...
Volvo EC290C NL EC290CNL Hydraulic Excavator Specs Manual.pdf
How Much does a Volvo EC290C NL EC290CNL Weight.pdf
Life Cycle Analysis of Electric and Internal Combustion Engine Vehicles
Gayatri Cultural Educational Society.pptx
Transmission system. Describe construction & working of varius automobile sys...
Kaizen for Beginners and how to implement Kaizen
Honda Dealership SNS Evaluation pdf/ppts
Marketing project 2024 for marketing students
Volvo EC290C NL EC290CNL excavator weight.pdf
Presentation.pdf ...............gjtn....tdubsr..........
Independence_Day_Patriotic theme (1).pptx
harrier-ev-brochure___________________.pdf

Lecture 1b AHP - Copy.pptwjsjw ww s d dd

  • 1. Analytical Hierarchy Process Analytical Hierarchy Process ( AHP ) ( AHP ) By Jennifer McBride By Jennifer McBride Operations Management Operations Management May 6, 2003 May 6, 2003
  • 2. What is AHP ? What is AHP ?  According to According to Operations Management Operations Management 4th 4th Edition by Russell and Taylor III it is a Edition by Russell and Taylor III it is a quantitative method for ranking decision quantitative method for ranking decision alternatives and selection the one given alternatives and selection the one given multiple criteria. AHP is a process for multiple criteria. AHP is a process for developing a numerical score to rank each developing a numerical score to rank each decision alternative based on how well each decision alternative based on how well each alternative meets the decision maker’s criteria. alternative meets the decision maker’s criteria.
  • 3. What does it answer ? What does it answer ?  The question “Which one do we choose?” The question “Which one do we choose?” or “Which one is best ?” by selecting the or “Which one is best ?” by selecting the best alternative that matches all of the best alternative that matches all of the decision maker’s criteria. decision maker’s criteria.
  • 4. What does it use ? What does it use ?  Simple mathematics Simple mathematics  criteria criteria < set by the decision maker > < set by the decision maker >  preferences of that criteria preferences of that criteria < also set by the decision < also set by the decision maker> maker>  the standard preference table the standard preference table
  • 5. Standard Preference Table Standard Preference Table PREFERENCE LEVEL Equally preferred Equally to moderately preferred Moderately preferred Moderately to strongly preferred Strongly preferred Strongly to very strongly preferred Very strongly preferred Very strongly to extremely preferred Extremely preferred NUMERICAL VALUE 1 2 3 4 5 6 7 8 9
  • 6. Why not make up your own Why not make up your own preference table ? preference table ?  Because the standard preference table has Because the standard preference table has been determined by experienced researchers been determined by experienced researchers in AHP to be a reasonable basis for in AHP to be a reasonable basis for comparing two alternatives. comparing two alternatives.
  • 7. How is it used ? How is it used ?  Say you have two criteria. Cost and quality for Say you have two criteria. Cost and quality for product A & B. The cost for A= $60 and the product A & B. The cost for A= $60 and the quality is above average. The cost for B=$15 quality is above average. The cost for B=$15 and the quality is right at average. Which do and the quality is right at average. Which do you choose? By making a matrix the price of you choose? By making a matrix the price of B is very strongly preferred to A and A is only B is very strongly preferred to A and A is only moderately preferred to B. The matrices of moderately preferred to B. The matrices of these preferences would look like . . . . these preferences would look like . . . .
  • 8. Matrices of A and B Matrices of A and B  Since price B is very Since price B is very strongly preferred to the strongly preferred to the price of A. The score of price of A. The score of B to B is 7 and A to B is B to B is 7 and A to B is the reciprocal or inverse the reciprocal or inverse of 1/7 of 1/7 COST A B A 1 7 B 1/7 1 COST A B A 1 7 B 1/7 1 QUALITY A B A 1 1/3 B 3 1
  • 9. Our sample problem Our sample problem Jilley Bean Co. is selecting a new location to expand its operations. The company want to use AHP to help it decide which location to build its new plant. Jilley Bean Co. has four criteria they will base their decision on these are the following: property price, distance from suppliers, the quality of the labor pool, and the cost of labor. They have three locations to decide from.
  • 10. Matrices given criteria and Matrices given criteria and preferences preferences PRICE A B C A 1 3 2 B 1/3 1 1/5 C 1/2 5 1 PRICE A B C A 1 3 2 B 1/3 1 1/5 C 1/2 5 1 DISTANCE A B C A 1 6 1/3 B 1/6 1 1/9 C 3 9 1 LABOR A B C A 1 1/3 1 B 3 1 7 C 1 1/7 1 WAGES A B C A 1 1/3 1/2 B 3 1 4 C 2 1/4 1  Showing that in preference in price A and C are the equally preferred but are preferred over B.
  • 11. How it is done ~ STEP ONE How it is done ~ STEP ONE PRICE A B C A 1 3 2 + + + B 1/3 1 1/5 + + + C 1/2 5 1 = 11/6 9 16/5  First sum (add up) all the values in each column. PRICE A B C A 1 3 2 + + + B 1/3 1 1/5 + + + C 1/2 5 1 = 11/6 9 16/5
  • 12. How it is done ~ STEP TWO How it is done ~ STEP TWO PRICE A B C A 111/6 = 6/11 39 = 3/9 216/5 = 5/8 + + + B 1/311/6 = 2/11 19 = 9 1/516/5 1/16 + + + C 1/211/6 = 3/11 59 = 5/9 116/5 = 5/16 = 1 1 1  Next the values in each column are divided by the corresponding column sums. NOTICE: the values in each column sum to 1.
  • 13. How it is done ~ STEP THREE How it is done ~ STEP THREE PRICE A B C Row Average A 6/11 ~.5455 + 3/9~.3333 + 5/8~ .6250 = 1.5038 3 = .0512 B 2/11~.1818 + 1/9~.1111 + 1/16~.0625 = .3544 3 = .1185 C 3/11~.2727 + 5/9~.5556 + 5/16~.3803 = 1.2086 3 = .3803 1.000  Next convert fractions to decimals and find the average of each row.
  • 14. How it is done ~ STEP FOUR How it is done ~ STEP FOUR Find the average for all the criterion by doing steps 1-3 on all the criteria. Arriving at the following Location Price Distance Labor Wages A .5012 .2819 .1790 .1561 B .1185 .0598 .6850 .6196 C .3803 .6583 .1360 .2243
  • 15. How it is done ~ STEP FIVE How it is done ~ STEP FIVE Rank the criteria in order of importance ~use the same method used in ranking each criterion. Criteria Price Distance Labor Wages Price 1 1/5 3 4 Distance 5 1 9 7 Labor 1/3 1/9 1 2 Wages 1/4 1/7 1/2 1
  • 16. How it is done ~ STEP 6-9 How it is done ~ STEP 6-9  Repeat steps 1-4 with the new matrices. You should arrive at the following : Repeat steps 1-4 with the new matrices. You should arrive at the following : Criteria Price Distance Labor Wage Row Average Price .1519 .1375 .2222 .2857 .1933 Distance .7595 .6878 .6667 .5000 .6535 Labor .0506 .0764 .0741 .1429 .0860 Wage .0380 .0983 .0370 .0714 .0612 1.000
  • 17. Row average= preference vector Row average= preference vector for the criteria for the criteria CRITERIA Price .1993 Distance .6535 Labor .0860 Wage .0612  Clearly the price of the land is #1, followed by distance to suppliers, labor pool quality, and last cost of wages.
  • 18. FINAL CALCULATIONS FINAL CALCULATIONS Location Price Distance Labor Wages A .5012 .2819 .1790 .1561 B .1185 .0598 .6850 .6196 C .3803 .6583 .1360 .2243 CRITERIA Price .1993 Distance .6535 Labor .0860 Wage .0612 X Take the criteria matrix and multiple it by the preference vector Location A score = .1993(.5012) + .6535(.2819) + .0860(.1790) +.0621(.1561) = .3091 Location B score = .1993(.1185) + .6535(.0598) + .0860(.6850) + .0612(.6196) = .1595 Location C score = .1993(.3803) + .6535(.6583) + .0860(.1360) + .0612(.2243) = .5314
  • 19. And the results are . . . And the results are . . . LOCATION Score A .3091 B .1595 C .5314 1.0000 Based on the scored Location C should be chosen for Jilley Bean Co. to built a plant.
  • 20. How is AHP is used in real life ? How is AHP is used in real life ?  Expert Choice a company that specializes in Expert Choice a company that specializes in AHP design software and performs services AHP design software and performs services with it. Some of their clientele are: with it. Some of their clientele are:  Ford Motor Company Ford Motor Company  Sprint PCS Sprint PCS  Department of Agriculture (USDA) Department of Agriculture (USDA)  Navy Navy  National Health Service of the United Kingdom National Health Service of the United Kingdom  Ferrari SpA in Italy Ferrari SpA in Italy
  • 21. How is AHP is used in real life ? How is AHP is used in real life ?  The USDA used it for the selection of bridge The USDA used it for the selection of bridge materials across the nation in several materials across the nation in several states. states.
  • 22. Is there anything AHP cannot be Is there anything AHP cannot be used for ? used for ?  Not really as long as the decision maker Not really as long as the decision maker has set criteria and set preferences of that has set criteria and set preferences of that criteria AHP can be used. criteria AHP can be used.
  • 23. References References  Russell, Roberta S. and Taylor III, Bernard W. Russell, Roberta S. and Taylor III, Bernard W. Operations Operations Management 4th edition. Management 4th edition. Upper Saddle river, New Jersey: Upper Saddle river, New Jersey: Prentice Hall, 2003. Prentice Hall, 2003.  Expert Choice Client List Expert Choice Client List <http://expert <http://expert choice.com/customers/client list.htm choice.com/customers/client list.htm  Smith, Bush and Schmoldt. Smith, Bush and Schmoldt. The Selection of Bridge The Selection of Bridge Materials Utilizing the Analytical Hierarchy Process. Materials Utilizing the Analytical Hierarchy Process. 5 5 March 2003. March 2003. <http://www/srs4702.forprod.vt.edu/pubsubj/abstract/ab9760. <http://www/srs4702.forprod.vt.edu/pubsubj/abstract/ab9760.

Editor's Notes

  • #4: By simple mathematics one must be able to add, divide, and multiple Criteria is anything that seems or is important to the decision maker ex. Price, quality, length, time frame etc. . . Preferences of that criteria mean how important or how much does that criteria mean to the decision maker.
  • #5: Notice that it is a ranked scale.
  • #7: This is a very simplistic the problems can be very complex also.
  • #8: Notice that the reciprocal are the same color of the corresponding. I did this to identify which reciprocals went with which one.
  • #10: Again reciprocals having corresponding colors of each other.
  • #13: Each answer was rounded to the the thousandths to keep uniformity and simplicity in the mathematics. Each row was divided by 3 to find the average because there were three locations if there were 5 then you would have to divide by 5 to find the average.
  • #14: Again all answers were rounded to the thousandths place.
  • #15: Using the Standard preference table to determine each ones’ rank.
  • #20: To learn more about Expert Choice and their customers go to http://www.expertchoice.com
  • #21: To learn more about this single project go to http://www.srs4702forprod.vt.edu/pubsubj/abstract/ab9760.htm
  • #22: If you had set criteria for which clothes to wear and had preferences of that criteria you could use AHP to decide which outfit would be best for you to wear.