**Acknowledgements**

*Models and Technologies for Smart, Sustainable and Safe Transportation Systems*

The arc flow updating relation can be combined with the arc cost updating relation to specify Deterministic Process (DP) models for day-to-day dynamic assign-

The fixed-point states of the DP model specified by the ES filters are equivalent to the equilibrium states as defined by FP model mentioned above). Applying techniques from the theory of discrete-time non-linear dynamic systems, the above DP models can be used to study the local stability of each fixed-point state, say whether it is an attractor. Moreover, a bifurcation analysis can be carried to single out which attractor is reached by the evolution over time when an input data and or a parameter is changed. The DP model specification can be used as a base to specify time discrete Stochastic Process models, which may provide full statistical characterization.

All the above models can be extended to cope with Within-day Dynamics requiring highly non-linear specification. This kind of models are useful to describe while-trip re-routing due to interaction with information and/or control system as

At first this paper has reviewed the analysis of the most likely effects of the introduction of new type of vehicles including vehicles with different level of automation, differently powered, privately owned or shared, …. Then, this paper has discussed the main technological and modeling issues for the analysis of transporta-

• specification of new models of Traffic Flow Theory to deal with congestion in

• new path choice models for travel demand assignment within the general

ment. Their structure is shown in **Figure 4**.

well as queuing phenomena.

tion systems with mixed flow.

mixed traffic,

**4. Conclusions**

**Figure 4.**

**3.4 Within-day dynamic assignment to congested network**

*Dynamic process models for day to day dynamic assignment to congested networks.*

Some issues are worth of further research work, such as:

framework of Transportation System Analysis,

**212**

The authors want to fulfill their gratitude Dr. Carmine Cappetta for the support and the patience in developing and publishing this chapter in regard to the analysis of the sensors shown within Section 2.

Authors wish to thank University of Salerno for financial support under local grants ORSA187110 and ORSA192198.
