2001 Lexus which will intermittently cut-off when in reverse.

This vehicle has a problem that I can not identify. Car was purchased new back in 2001 and maitained by Vehcile drives very well for the year and mileage and has been maintained by authorized Lexus dealers. When backing up in reverse intermittently, my vehicle will cut-off. Current solutuion to problem when this problem occurs, is to place the car in park and restart vehcile.

Any ideas and is the car worth getting repaired. No other major prblems eistanc