The phrase "accelerate the deployment of" is correct and usable in written English.
You can use it when discussing the speed or urgency of implementing a project, initiative, or technology.
Example: "The government aims to accelerate the deployment of renewable energy sources to combat climate change."
Alternatives: "speed up the implementation of" or "hasten the rollout of".
He said the acquisition would accelerate the deployment of Pacific Century's broadband service.
D.C. is increasingly reaching out to Silicon Valley because they have to accelerate the deployment of new technologies.
In his statement, Mr. Clinton said, "I have instructed our military to provide needed assistance to accelerate the deployment of troops" to the region.
Round three will be the biggest wind programme announced by the Crown Estate so far and aims to accelerate the deployment of wind energy on a massive scale.
Mr. Obama's decision to accelerate the deployment of an American aircraft carrier group to the region is intended to prod the Chinese.
Mr. Yood said that Google's primary goal was to earn a return from its investment but that the company also hopes to accelerate the deployment of renewable energy.
Earlier, officials in Washington said the Obama administration was accelerating the deployment of new defenses against possible Iranian missile attacks in the Persian Gulf, placing special ships off the Iranian coast and antimissile systems in at least four Arab countries.
My group proposed a better portable battery, which would enable transmission of power (presumably by people carrying the battery about) that accelerates the deployment of solar power through social sharing.
The missile might have been moved for training, testing, or demonstration; it was described as having "considerable" range, but nothing capable of reaching the United States; still, the U.S. is accelerating the deployment of an advanced missile-defense system to Guam, two years ahead of schedule.
In January, General Petraeus said that the Obama administration was accelerating the deployment of new defenses against possible Iranian missile attacks in the Persian Gulf by placing special ships off the Iranian coast and antimissile systems in at least four Arab countries.
Mr. Cameron spoke as a sense of crisis built on the Korean Peninsula and the United States said it was accelerating the deployment of an advanced missile defense system to Guam in the next few weeks to protect American naval and air forces in case North Korea carries through with a threatened missile attack.
