A system for controlling an engine in a fuel efficient manner includes a memory having stored therein an engine output characteristics map bounded by a maximum engine output curve. The map defines a region of undesirable operation having a first border defined as a function of engine speed and intersecting the maximum engine output curve. A control computer is configured to control engine operation in a fuel efficient manner by limiting engine operation within the map to the first border while also allowing the engine to operate anywhere on the maximum engine output curve. The control computer may be configured to so limit engine operation to the first border only if an engine or vehicle acceleration value is outside of an acceleration range, and further only if an engine work value is greater than an engine work threshold, and otherwise to allow engine operation anywhere on or within the map.