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Lecture 1 Transportation Planning Process Dr. Anna Nagurney John F. Smith Memorial Professor Isenberg School of Management University of Massachusetts Amherst, Massachusetts 01003 c 2009 Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

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Page 1: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Lecture 1Transportation Planning Process

Dr. Anna Nagurney

John F. Smith Memorial ProfessorIsenberg School of Management

University of MassachusettsAmherst, Massachusetts 01003

c©2009

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 2: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Transportation Planning Process

Phase I - Base Year Inventory

Make inventory of existing network + existing traffic patterns.

• O/D travel demand tables

• counters on roads

• inventory of planning factors

B is is industrial?B what is the income distribution?B types of employment.

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 3: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Traffic Congestion in the USA

Copyright by Texas Transportation Institute, 2004

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 4: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Traffic Congestion in Indiaremixconcepts.blogspot.com

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 5: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Transportation Planning Process

Collection of data to be used in model to predict the traffic flowpattern.

∗ The data must be extrapolated if it is to be used for predictingfuture traffic patterns.

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 6: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

US Interstate Highway Network

www.freightcenter.com

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 7: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Transportation Planning Process

Phase II - Model Building

Interested in finding out relationships among parameters of thesystem.

3 categories of relationships

1. Trip Generation Models.# of trips attracted to a certain area or generated in a certain area.

Ox , Dy : trip ends

Ox = # of trips produced (generated) at zone x (production zone)Dy = # of trips attracted to zone y (attraction zone)

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 8: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

2. Trip Distribution Models.

Given Ox ’s and Dy ’s find the O/D travel demand table.

Will then know how many travelers from Ox will go to Dy ; for allx , y pair.

y1

x1

y2

x2

y3

Dy

Ox

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 9: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Transportation Planning Process

Travel Demand:

dxy = kOxDy f (cxy )

cxy : travel cost from zone x to zone y

∗ dxy increases as cxy decreases.

3. Traffic Assignment Models.

Given O/D table dxy ’s, find how this travel demand is distributedamong different routes and modes of transportation.

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 10: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Transportation Planning Process

Relates traffic flow pattern to O/D pairs and characteristics ofnetworks.

Can be applied to:

• communication networks

• energy networks

• electrical networks

• economic and financial networks

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 11: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Another Type of Traffic Congestion!

www.darkroastedblend.com

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 12: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Transportation Planning Process

Three Stage Modelfor Transportation Planning.

Trip

Generation

Trip

Distribution

Traffic

Assignment

{Ox} {Dy}

trip ends

{dxy}

O/D demand pattern link load

pattern

update for congested networks

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

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Transportation Planning Process

Phase III - Travel Forecasts

Extrapolation - to predict parameters for which we have data fromPhase I.

Data from Phase I may be crude.

Phase IV - Network Evaluation

Goal is to compare networks.

What is the traffic that will be generated by the 3 or 4 networks- evaluation of cost + benefits.

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 14: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Amherst Area View from Mt. Sugarloaf

Travel Monkeys’ Gallery

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 15: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

References

⇒ Beckmann M., McGuire C.B., Winsten C.B. (1956) Studies in theEconomics of Transportation. Yale University Press, New Haven,Connecticut; also published as Rand-RM-1488-PR, Rand Corporation,Santa Monica, CA, May 12, 1955http://cowles.econ.yale.edu/archive/reprints/specpub-BMW.pdf

⇒ Sheffi Y. (1985) Urban Transportation Networks: Equilibrium Analysiswith Mathematical Programming Methods. Prentice-Hall, EnglewoodCliffs, New Jerseyhttp://web.mit.edu/sheffi/www/selectedMedia/sheffi urban trans networks.pdf

⇒ Nagurney A. (1993) Network Economics: A Variational InequalityApproach. Kluwer Academic Publishers, Boston, Massachusettshttp://supernet.som.umass.edu/bookser/netbook.htm

⇒ Nagurney A. (2002) Network Economics (Fulbright Lectures)http://supernet.som.umass.edu/austria lectures/fulmain.html

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1

Page 16: Lecture 1 Transportation Planning Process - Anna …supernet.isenberg.umass.edu/courses/FOMGT341-Fall09/lecture1.pdf · Lecture 1 Transportation Planning Process Dr. Anna Nagurney

Additional Reading

. Pocket Guide to Transportation (2008) by Bureau of TransportationStatistics

http://www.bts.gov/publications/pocket guide to transportation/2008/pdf/entire.pdf

. For additional background material, see the Virtual Center forSupernetworks website:

http://supernet.som.umass.edu

Dr. Anna Nagurney FOMGT 341 Transportation and Logistics - Lecture 1