$2$ Path Planning for an Autonomous Car

$2\mathrm{.}1$ Scenario Description

Optimize the route for an autonomous car to minimize both travel time and fuel consumption, adapting to varying traffic and road conditions.

$2\mathrm{.}2$ Model Setup and System Parameters

Car Specifications:

Average speed: $60k\frac{m}{h}$ on highways, $30k\frac{m}{h}$ in urban areas.

Fuel efficiency: $5\frac{L}{100}km$ on highways, $7\frac{L}{100}km$ in urban areas.

Environment:

Mixed urban and highway environments.

Dynamic traffic conditions and potential road closures.

$3$

$2\mathrm{.}3$ Key Equations

Travel Time:

$T={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{v(s)}ds$

Fuel Consumption:

$F={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}k*v(s{)}^{2}ds$

$2\mathrm{.}4$ MATLAB Task

Use MATLAB's particleswarm optimization function to determine the most efficient route considering the time of day and real$-$time traffic data.

$2\mathrm{.}5$ Questions for Exploration

Analyze how different times of day affect the optimal route due to varying traffic patterns. $2.$ Determine the impact of a sudden road closure on the planned path and how quickly an alternative route can be computed. $3.$ Explore how predictive traffic models could improve path optimization.

Note :please solve this in details and i want the solution as a case study and Attach us the MATLAB solution screens.