Lecture 1-Introduction to optimization
Optimization is the act of obtaining the best result under given circumstances. In design,
construction, and maintenance of any engineering system, engineers hav
Introduction: Traffic Engineering
Definition of Traffic Engineering
Lecture 1
Introduction Traffic Flow
Fundamentals
Transportation engineering is the application
of technology and scientific princi
Speed-Density Relationship
Density
Lecture 2
Introduction to Traffic Capacity
Analysis
D
S S f 1
D
j
Bruce Greenshield, 1937
Dj
Dc= Critical Density
Dc
Dj= Jam Density
Sc= Critical Speed
Sf= Free-
Lecture 5
Lecture 5
Weaving Area Analysis
Weaving Area Characteristics
Weaving Area
Characteristics of Weaving Areas
Def:
Weaving area is defined as the crossing of
two or more traffic streams trave
Two-Lane Highways
Description:
Have one lane for use in each direction
Lecture 6
Two-Lane Highways
Characteristics
Lane-changing and passing performed in
opposing lane
Make up a large portion of t
10/2/2017
TRAN 650
URBAN SYSTEMS
ENGINEERING
Lecture 4:
Sensitivity Analysis and Duality
Dr. Lazar N. Spasovic
Sensitivity Analysis
An LP Sensitivity Analysis is concerned with how changes in an LPs
p
Multilane Highway Characteristics
Lecture 3
Multilane Highway Operational
Analysis
Multilane Highway Speed-Flow
Model
Posted speed limits between 40 and 55
mph
Usually has 4 or 6 lanes
Uses physica
TRAN 650
URBAN SYSTEMS ENGINEERING
Lecture 3:
Linear Programming
(adapted using the lecture notes by Dr. Lazar
Spasovic, Professor, Department of Civil &
Environmental Engineering, NJIT)
The Simplex M
10/27/2016
TRAN 650
URBAN SYSTEMS ENGINEERING
Networks Models
Terminology and Definition:
Graph:
Lecture 5:
Network Models
Consists of Nodes (or Vertices) and Arcs (or Edges)
Network: A Graph with the
TRAN 650
URBAN SYSTEMS ENGINEERING
Lecture 1:
Introduction to Operations
Research and Liner Programming
(based on the notes by Dr. Lazar Spasovic,
Professor, Department of Civil & Environmental
Engine
TRAN 650
URBAN SYSTEMS ENGINEERING
Lecture 2:
LP Graphical Method
Review of Linear Algebra
Simplex Method
(based on the notes by Dr. Lazar Spasovic,
Professor, Department of Civil & Environmental
Engi
TRAN 650
URBAN SYSTEMS
ENGINEERING
Lecture 4:
Sensitivity Analysis and Duality
Dr. Lazar N. Spasovic
Sensitivity Analysis
An LP Sensitivity Analysis is concerned with how changes in an LPs
parameters
FED 101 TRANSPORTATION
ENGINEERING
Freeway Ramp Metering
Notes by Prof. Lazar
Spasovic
Ramp Metering on the A19 in
Middlesbrough, England
Definitions
Freeway
A
divided highway with full control of acc
An Airline Takes a
Marginal Route
A handout that can help you to
solve Case Study 1
Background
We will review a few concepts from micro-economics so that we are
all on the same page.
Costs
Average v
TRAN 650 Urban Systems Engineering
Midterm Exam (with Solutions)
Problem 1.
Transair Airlines flies planes on the following route: Los Angeles Houston New York
Miami Los Angeles. The length (in miles
Minimum Shortest Path Dijkstra Algorithm
Example
Given the following network and link travel times, find the minimum cost path tree from node A.
5 min
A
10 min
B
16
in
m
in
m
15
in
m
9
6 min
D
C
12
in
TRAN 650 Urban Systems Engineering
Fall 2017
Midterm Exam
General Notes on the Mid-Term Examination:
The submission is due October 27, 2015, 6:00 pm.
The examination is an individual effort. Please do
Basic Speed/Fleet Size
Relationships
For a given route, where policy is used to
determine the level of service, the number of
vehicles necessary to provide service at a given
headway and average speed
TRAN 625, SPRING 2017
PUBLIC TRANSPORTATION OPERATIONS
AND TECHNOLOGY
Homework No. 5
Due Date: 04/10/2017
Route ABC is served by standard 50-seat (no standees allowed) buses.
A-B-C
2 miles
4 miles
Tab
TRAN 625 Public Transportation Operations and Technology
TRAN 625 - Public Transportation
Operations and Technology
SECTION 8-1
TRANSPORTATION SYSTEM PORFORMANCE MEASURES
(Chapter 4)
by
Steven I. Chie
TRAN 625, SPRING 2017
PUBLIC TRANSPORTATION OPERATIONS
AND TECHNOLOGY
Homework No. 4
Due Date: 4/3/17
At bus stop A on a conventional transit route, the passenger arrivals are random during 7:00 am ~
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SUNDER BALAJEE MUTHAPPAN
[email protected]
Problem 1:
Using Lingo:
MAX X1+X2+X3
SUBJECT TO
X1+2X2+2X3<=20
2X1+X2+2X3<=20
2X1+2X2+X3<=20
END
Solution:
LP OPTIMUM FOUND AT STEP
3
OBJECTIVE FUNCTION VALUE
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TRAN 625, SPRING 2017
PUBLIC TRANSPORTATION OPERATIONS
AND TECHNOLOGY
Homework No. 2
Due Date: 2/27/17
A rapid transit vehicle manufacturer produces two types of vehicles with different operational
ch
TRAN 625 Public Transportation Operations and Technology
TRAN 625 - Public Transportation
Operations and Technology
SECTION 5
STATION TO STATION TRAVEL TIME ANALYSIS
by
Steven I. Chien
Dept. of Civil
TRAN 650 Urban Systems Engineering | Homework Assignment No. 3 (Solution)
HW Assignment 3: Optimizing Highway Ramp Metering Using Linear
Programming
A freeway segment has three lanes in one direction