THEORY OF TRANSPORTATION SYSTEMS

Giulio Erberto CANTARELLA THEORY OF TRANSPORTATION SYSTEMS

0622100006
DEPARTMENT OF CIVIL ENGINEERING
EQF7
CIVIL ENGINEERING
2024/2025

OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2022
FULL ACADEMIC YEAR
CFUHOURSACTIVITY
12120LESSONS
Objectives
EXPECTED LEARNING OUTCOMES AND SKILLS TO BE ACQUIRED.
LEARNING THE THEORETICAL AND APPLICATION FEATURES OF THE TOOLS ADOPTED BY THE MODERN STEADY-STATE TRANSPORT SYSTEMS THEORY, BASED ON MATHEMATICAL MODELS OF TRANSPORTATION SUPPLY, TRAVEL DEMAND, AND THEIR INTERACTION;
ACQUIRING METHODS OF CHOICE MODELLING AND TRAVEL DEMAND ANALYSIS AND METHODS FOR TRANSPORTATION NETWORKS ANALYSIS, SUCH AS MODELS FOR ASSIGNMENT TO UNCONGESTED OR CONGESTED NETWORKS UNDER STEADY-STATE CONDITIONS, THE EXTENSIONS, TO ASSIGNMENT WITH PRE-TRIP/EN-ROUTE CHOICE BEHAVIOR, TO ASSIGNMENT WITH VARIABLE DEMAND TO MULTI-CLASS ASSIGNMENT;
UNDERSTANDING THE APPROACHES TO ASSIGNMENT WITH DAY-TO-DAY AND/OR WITHIN-DAY DYNAMICS.

KNOWLEDGE AND UNDERSTANDING.
UNDERSTANDING OF THE PROPERTIES OF THE VARIOUS MATHEMATICAL METHODS FOR TRAVEL DEMAND ANALYSIS AND THE PROPERTIES OF THE SEVERAL MATHEMATICAL METHODS FOR ASSIGNMENT TO A TRANSPORTATION NETWORK: KNOWLEDGE OF THE CHOICE MODELS AND OF FIXED-POINT MODELS AND DYNAMIC PROCESSES;

APPLYING KNOWLEDGE AND UNDERSTANDING.
ABILITY TO
- DEFINE THE MOST SUITED METHODS FOR DEMAND ANALYSIS AND ASSIGNMENT WITH RESPECT TO TRANSPORTATION SYSTEMS TO BE ANALYSED
- ANALYSE THE EFFECTS OF INTERVENTIONS ON A TRANSPORT SYSTEM BY APPLYING ASSIGNMENT METHODS IMPLEMENTED IN EXCEL SHEETS OR IN COMMERCIAL SW

MAKING JUDGEMENTS.
FIND THE MOST SUITABLE METHODS FOR THE ANALYSE AND THE DESIGN OF A CIVIL TRANSPORTATION SYSTEM

COMMUNICATION SKILLS.
KNOW HOW TO WORK IN A GROUP, WRITE DOWN A TECHNICAL REPORT, AND PRESENT THEM ORALLY.
.
ABILITY TO LEARN.
KNOWING HOW TO APPLY THE KNOWLEDGE ACQUIRED TO SITUATIONS DIFFERENT FROM THOSE FACED DURING THE COURSE AND DEEPEN THE TOPICS COVERED USING ANALYSIS TOOLS DIFFERENT FROM THOSE EXPOSED OR COMPLEMENTARY TO THEM.
Prerequisites
NONE
Contents
THE TRANSPORT SYSTEMS THEORY (TST) COURSE 120 HOURS(12 CFU)
CONCERNS THE ANALYSIS OF TRAVEL DEMAND AND THE ANALYSIS AND DESIGN OF TRANSPORT NETWORKS

= INTRODUCTION TO THE COURSE
TRANSPORT SYSTEMS; 5W-4H, PRELIMINARY ANALYSIS, ORIGIN-DESTINATION DEMAND FLOW MATRIX, FLOW AND ROUTE COSTS, MODELING APPROACHES; TYPES OF MODELS (ANALYSIS / DECISION-MAKING).
LESSONS AND EXERCISES 5 HOURS
= MODELS AND ALGORITHMS FOR THE ANALYSIS OF TRANSPORT OFFERS
- REFERENCES TO GRAPH THEORY AND NETWORK THEORY - SHORTEST PATH ALGORITHMS;
FLOW NETWORKS; CONGESTED NETWORKS AND THE ARC COST FUNCTION, STATIONARY CONDITIONS, DISCRETE AND CONTINUOUS NETWORKS; ABSTRACT MODEL OF SUPPLY AND APPLICATION TO TRANSPORT SYSTEMS, SYNCHRONIC AND DIACHRONIC NETWORKS.
LESSONS AND EXERCISES 5 HOURS
= MODELS AND ALGORITHMS FOR THE ANALYSIS OF CHOICE BEHAVIOR
- REFERENCES TO THE THEORY OF PROBABILITY AND RANDOM VARIABLES.
RANDOM UTILITY THEORY (RUT)
LESSONS AND EXERCISES 10 HOURS
= MODELS AND ALGORITHMS FOR THE ANALYSIS OF TRAVEL DEMAND
METHODS OF ANALYSIS OF TRAVEL DEMAND FLOWS: PARTIAL RATE MODELS, FAMILY OF LOGIT MODELS.
PATH CHOICE FLOW ANALYSIS MODELS: PROBABILISTIC, LOGIT, WEIBIT, PROBIT, GAMMIT, DETERMINISTIC;
ABSTRACT MODEL OF DEMAND AND APPLICATION TO TRANSPORTATION SYSTEMS.
LESSONS AND EXERCISES 10 HOURS
= MODELS AND ALGORITHMS FOR
STOCHASTIC ASSIGNMENT TO AN UNCONGESTED NETWORK IN STEADY-STATE CONDITIONS: THE ARC FLOW FUNCTION.
DETERMINISTIC ASSIGNMENT TO AN UNCONGESTED NETWORK IN STEADY STATE CONDITIONS: LINEAR OPTIMIZATION MODELS
LESSONS AND EXERCISES 15 HOURS
= MODELS AND ALGORITHMS FOR
- REFERENCES TO FIXED-POINT THEORY
STOCHASTIC EQUILIBRIUM ASSIGNMENT TO A CONGESTED NETWORK IN STATIONARY CONDITIONS: FIXED-POINT MODELS
- REFERENCES TO THE THEORY OF CONTINUOUS NON-LINEAR OPTIMIZATION
DETERMINISTIC EQUILIBRIUM ASSIGNMENT EQUILIBRIUM TO A CONGESTED NETWORK IN STATIONARY CONDITIONS: VARIATIONAL INEQUALITY AND OPTIMIZATION MODELS
SYSTEM OPTIMUM ASSIGNMENT (AND STOCHASTIC EXTENSION) AND GRAPHICAL COMPARISON
LESSONS AND EXERCISES 10 HOURS
= SUMMARY OF PART I
LESSONS AND EXERCISES 5 HOURS
= DIRECT, INDIRECT, MIXED ESTIMATION (CORRECTION) OF A DEMAND FLOW MATRIX AND CALIBRATION OF MODELS
– REFERENCES TO INFERENTIAL STATISTICS
LESSONS AND EXERCISES 7 HOURS.
= EVALUATION METHODS ABC: VAN, SRI; EXAMPLE TC; AMC
LESSONS AND EXERCISES 3 HOURS
= MODELS AND ALGORITHMS FOR
STOCHASTIC EQUILIBRIUM ASSIGNMENT TO A CONGESTED NETWORK IN MULTI-CLASS AND MULTI-VEHICLE STATIONARY CONDITIONS AND/OR WITH PARKING
STOCHASTIC ASSIGNMENT WITH PREVENTIVE-ADAPTIVE CHOICE BEHAVIOR.
FOR THE ANALYSIS OF THE COLLECTIVE TRANSPORT OFFER: PATHS AND HYPER-PATHS; SYNCHRONIC AND DIACHRONIC NETWORKS
FOR STOCHASTIC EQUILIBRIUM ASSIGNMENT TO A CONGESTED NETWORK IN STEADY STATE CONDITIONS WITH VARIABLE AND/OR MULTI-MODAL DEMAND
LESSONS AND EXERCISES 10 HOURS
= MODELS FOR ASSIGNMENT WITH INTER-PERIOD DYNAMICS
- INTRODUCTION TO DETERMINISTIC PROCESS MODELS (PD)
PD MODELS FOR ASSIGNMENT WITH INTER-PERIOD DYNAMICS AND EXAMPLES
- INTRODUCTION TO STOCHASTIC PROCESS (PS)
MODELS PS MODELS FOR ASSIGNMENT WITH INTER-PERIOD DYNAMICS
OMEGA METHOD FOR PD MODELS FOR ASSIGNMENT WITH INTER-PERIOD DYNAMICS
LESSONS AND EXERCISES 25 HOURS = MODELS FOR ASSIGNMENT WITH INTRA-PERIOD DYNAMICS
LESSONS AND EXERCISES 5 HOURS
= INTRODUCTION TO METHODS FOR DESIGNING INDIVIDUAL OR COLLECTIVE TRANSPORT SYSTEMS
- REFERENCES TO DISCRETE OPTIMIZATION THEORY
SEMINARS 5 HOURS
= SUMMARY OF PART II
LESSONS AND EXERCISES 5 HOURS

Teaching Methods
THE COURSE OF TRANSPORTATION SYSTEM THEORY (TST), 120 HOURS, IS CONSISTS OF 80 HOURS OF THEORETIC LESSONS AND 40 HOURS OF ANALYSIS LAB, DURING WHICH TECHNIQUES FOR APPLYING METHODS LEARNED DURING THE THEORETIC LESSONS TO REAL CASE ARE PRESENTED. ACCORDING TO UNIVERSITY RULES ATTENDANCE IS NOT MANDATORY.
Verification of learning
THE EXAMINATION INVOLVES AN SINGLE ORAL TEST, LASTING ABOUT 30-45 MINUTES, AFTER THE END OF THE COURSE; THE ORAL TEST CONSISTS OF A DISCUSSION CONCERNING THE THEORETICAL AND METHODOLOGICAL CONTENTS OF THE PROGRAM AND A POSSIBLE PRESENTATION OF THE WORK DONE DURING THE COURSE; IT IS AIMED AT VERIFYING THE LEVEL AND QUALITY OF KNOWLEDGE AND UNDERSTANDING ACQUIRED BY THE STUDENT, THE EXPOSING SKILL USING THE APPROPRIATE TERMINOLOGY AND THE ABILITY TO PERSONALLY ORGANIZE THE DISCUSSION.
THE ACHIEVEMENT IS EXPRESSED BY A SCORE IN THE RANGE [0-30]; THE MINIMUM FOR PASSING THE EXAM IS 18, FOR SUFFICIENT LEVEL AND QUALITY, THE MAXIMUM IS 30, FOR VERY GOOD LEVEL AND QUALITY; THE SCORE 30 "WITH HONOURS" IS ATTRIBUTED TO STUDENTS, REACHING THE MAXIMUM VOTE OF 30, WHO SHOW EXCELLENT LEVEL AND QUALITY AND SHOW THAT THEY ARE ABLE TO APPLY THEIR KNOWLEDGE AND SKILLS BEYOND THE CONTEXTS OF LESSONS LEARNED.
.
Texts
CASCETTA E. (2009 HARDBACK, 2012 PAPERBACK) TRANSPORTATION SYSTEMS ANALYSIS: MODELS AND APPLICATIONS. SPRINGER.
ADDITIONAL MATERIAL:
CANTARELLA, G. E. E VELONÀ, P. (2010) ASSEGNAZIONE A RETI DI TRASPORTO. MODELLI DI PUNTO FISSO FRANCO ANGELI EDITORE
MATERIAL FOR FURTHER NUMERICAL EXERCISES:
VITETTA, A. (2003) IL DEFLUSSO NEI SISTEMI DI TRASPORTO - ESERCIZI ED APPLICAZIONI FRANCO ANGELI EDITORE
DI GANGI, M., POSTORINO, M. N. (2005) MODELLI E PROCEDURE PER L’ANALISI DEI SISTEMI DI TRASPORTO- ESERCIZI ED APPLICAZIONI FRANCO ANGELI EDITORE
More Information
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Lessons Timetable

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