The Police Service of Northern Ireland introduced a single non-emergency number in 2005 - 0845 600 8000.
South Western Ambulance will continue to run 999 and other non-emergency ambulances in the three counties.
It said waits for non-emergency hospital operations were holding steady, while infection rates were falling.
It said it makes about one million non-emergency Patient Transport Service (PTS) journeys each year.
The Scottish government has no plans to introduce a similar non-emergency phone number, a spokesman said.
Plans to introduce a 111 phone service for non-emergency unscheduled calls will be accelerated.
The non-emergency number combines the old NHS Direct service with surgeries' own out-of-hours arrangements.
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The two non-emergency numbers are 0845 607 1002 (English language line) 0845 607 1001 (Welsh language).
Since then, Tayside Police said 46% of all non-emergency calls were coming via the new service.
BBC: Tayside Police praise public for embracing new 101 number
Possible solutions include diverting patients to "alternative care settings" and cutting non-emergency calls to 999.
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Deputy Adam said some non-emergency procedures and treatments would be deferred from December to January.
It followed "a completely open and transparent" change to stop non-emergency calls being directed to 999.
Non-emergency calls were making it hard for ambulances to get to patients in need of swift attention.
Massachusetts Governor Patrick just announced a total ban on driving after 4 PM for all non-emergency personnel.
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In February, University Hospital Coventry cancelled non-emergency operations and outpatient appointments due to the "significant winter pressures".
The 111 non-emergency service has faced criticism since a trial was launched in parts of England last month.
Non-emergency patients would be referred back to their GP enabling staff to "prioritise the sickest patients", she added.
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The national 101 non-emergency service was officially launched on 21 February and will eventually replace local contact numbers.
BBC: Tayside Police praise public for embracing new 101 number
Ambulance officer Peter Whitaker tells Monday's World In Action programme of the effect of non-emergency calls on staff.
Calls to the 101 non-emergency number included one reporting a character in an ITV soap opera as a murderer.
Rhode Island Gov. Lincoln Chafee Saturday ordered all non-emergency vehicles off the streets Saturday so snowplows could clear roadways.
For general inquiries or to make non-emergency crime complaints people should dial 101.
The new 111 non-emergency telephone advice line is expected to replace NHS Direct in dealing with non-emergency calls in June.
The hospital will continue to carry out non-emergency surgery, with Belfast's hospitals expected to send more patients there for treatment.
Non-emergency federal employees were treated to a paid snow day for the number of hours they were scheduled to work.
Isaksen would not discuss details about the investigation, but added that non-emergency investigations typically take no longer than 15 days.
Massachusetts Gov. Deval Patrick ordered non-emergency state workers to stay home Friday and urged private employers to do the same.
Supt Dave Forrest urged people to delay making non-emergency calls where possible and only dial 999 in a real emergency.
Tayside Police have praised the public for embracing the new non-emergency phone number, designed to take pressure off the 999 service.
BBC: Tayside Police praise public for embracing new 101 number
On Tuesday, the US state department said it was ordering all non-emergency US government staff and their families to evacuate Egypt.
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