"maximise the efficiency" is correct and usable in written English.
It can be used in any number of contexts. For example: "We need to maximise the efficiency of production by introducing new technology."
A D-efficient experimental design was used to maximise the efficiency (precision) of results in the main survey.
"Individuals must migrate and choose the right winds to fly at different altitudes to maximise the efficiency of their migration.
"As with Euro 2016 [taking place in France, also this summer], we are working in partnership with other broadcasters to share presentation facilities and maximise the efficiency of our production operations.
They had to figure out the most profitable service line, how to minimise the level of working capital needed and how to maximise the efficiency of their supply chain.
IBM hopes that police forces around the world, struggling with limited resources, will be eager to adopt a system which allows them to maximise the efficiency of officers on the beat.
The idea is to minimise duplication and maximise the efficiency of the voter registration and education effort.Will this ersatz Democratic campaign be enough to push Mr Kerry into the White House?
Atatürk was clearly influenced by western notions of maximising the efficiency of individual citizens.
So small companies are at risk, but QVC is the expert in maximising the efficiency of the process.
It says that each should be able to save firms money by maximising the efficiency of their power use and to help them avoid paying for power at peak times.
Moreover, the metrics ensure that capabilities of the processors are exploited by maximising the efficiency of the architecture.
Managers of forest areas gain utility by optimising profits, and maximising the efficiency of a forest stand is also beneficial to the natural environment.
