I flew on Delta airlines over Thanksgiving, and on 3 out of 4 flights, we taxied on one engine for approximately half of the taxi time. The aircraft this was performed on were the
MD-88 and 737-200. On the
MD-88, the left engine was always started first, appearantly because it operates the systems necessary for taxi....I say this because I noticed that the ailerons were "drooping" and I was concerned about this at first, but as soon as the right engine was started, the flaps and ailerons returned to their "normal" positions. After landing, the right engine was again shut down, and we taxiied on the left.
I only flew once on the 737-200 where we taxiied on one engine, but the right engine was started first, and shut-down first, so it is my observation that it can taxi on either engine.
I am not 100% sure about this, but I believe this practice has become common for Delta because I saw several other aircraft...especially the ATR-72s...taxiing on only one engine.
Please feel free to correct me if I have made an error in any of the above...