It would take 24 hours and 36 minutes.
The driving distance from Birmingham, Alabama to Shreveport, Louisiana is 451 miles via I-20 W per MapQuest. The driving time per MapQuest is 6 hours and 43 minutes.
Google Maps estimates the driving time as 18 hours and 48 minutes.
The driving distance between Yuma, AZ and Los Angeles, CA is approximately 280 miles. The driving time would be approximately 4 hours 45 minutes if you were to travel non-stop in good driving conditions. (The driving time does not take into consideration conditions which may extend trip time such as weather, road work and rush hour traffic in urban areas.)
The driving distance between Houston, TX and Shreveport, LA is approximately 245 miles. The driving time would be approximately 4 hours 30 minutes if you were to travel non-stop in good driving conditions. (The driving time does not take into consideration conditions which may extend trip time such as weather, road work, border crossings and rush hour traffic in urban areas.)
The driving distance between Memphis, TN and Shreveport, LA is approximately 345 miles. The driving time would be approximately 5 hours 45 minutes if you were to travel non-stop in good driving conditions. (The driving time does not take into consideration conditions which may extend trip time such as weather, road work and rush hour traffic in urban areas.)
The driving distance between Las Vegas, NV and Yuma, AZ is approximately 295 miles. The driving time would be approximately 5 hours 30 minutes if you were to travel non-stop in good driving conditions. (The driving time does not take into consideration conditions which may extend trip time such as weather, road work, border crossings and rush hour traffic in urban areas.)
The driving distance between Atlanta, GA and Shreveport, LA is approximately 600 miles. The driving time would be approximately 10 hours 15 minutes if you were to travel non-stop in good driving conditions. (The driving time does not take into consideration conditions which may extend trip time such as weather, road work, border crossings and rush hour traffic in urban areas.)
The driving distance from Bryan TX to Shreveport LA is 224 miles per Map Quest. The driving time per Map Quest is 3 hours and 59 minutes.
The distance between Tyler, TX and Shreveport, LA, is 97.2 miles and will take about 1 Hours 35 Minutes of driving time.
MapQuest estimates the driving time as 36 hours and 27 minutes.
Google Maps estimates the driving time as 6 hours.
MapQuest give the estimated driving time as 5 hours and 20 minutes.