"operation based on" is correct and usable in written English.
You can use it to refer to things such as plans, ideas, or theories that form the basis of an action or project. For example, "The charity organized an operation based on community donations."
Sharon Feingold, an army spokeswoman, called the raid on Tuesday morning a "pinpoint operation based on intelligence".
Stevens knew the transmission meant that an operation based on intelligence from his station had been a success.
"It was a wrong operation based on wrong intelligence information," said Shah Jahan Noori, the police chief of Takhar Province.
Performance is a measure of the system's operation based on the meter readings.
The men were arrested in daytime raids in a counter-terrorist operation based on intelligence which police believed suggested an attack was imminent.
Though no polls were done in the US at the end of the operation, based on earlier polls the majority of Americans opposed it.
The statement also adds that French investigators have been enlisted to assist in the operation based on their experience from the search for Air France flight 447.
Its mode of operation, based on severe violence, may be an upgraded form of what groups such as al-Qaida engage in but it is ultimately familiar.
A multi-objective optimisation for reservoir operation based on expected monetary value and expected first passage-time criterion is proposed.
Territorially, theirs was scarcely an empire; it was a commercial operation based on possession of fortifications and posts strategically situated for trade.
We also report an alternative treatment of the ion funnel operation based on the effective potential approximation.
