Residential tower blocks are troublesome in this respect, and can be a nightmare to manage, for the reasons you have already pointed out.
Generally blocks of flats aren't fitted with AFD, because of the problems common fire alarm systems present in that type of environment.
It is not a legal requirement to have the fire alarm system linked to a remote monitoring centre, but if such provision can be made then it would make sense to do so, for the following reasons.
Firstly we can not guarantee residents will react appropriately and responsibly to all fire alarm activations. They may not evacuate or call the emergency services, for instance.
Also the fire alarm system may not be silenced or reset for quite sometime until a duty engineer attends site to deal with it, for example. This is often a source of annoyance for residents, and complacency can set in as a result.
In some extreme cases residents may actually vandalise the fire safety equipment in order to silence it.
British Standard 5839 recommends that fire alarm panels should be checked atleast once every 24 hours for faults. In unsupervised buildings this practice rarely occurs, and fault monitoring and system checks are thus a big issue to consider.
So what to do?
Firstly establish if you actually need the Fire Alarm System - why was it installed? is it still needed now? Are there any alternatives that could be implemented to make the block easier to manage in the long run?
If AFD is required then consider having the system remotely monitored. Remember that depending on how modern and sophisticated the system is, faults could also be monitored remotely too.
If remote monitoring proves impractical consider approaching trustworthy tenants or residents. They could be appointed to take repsonsibility for the alarm panel (ie; check panel is healthy once a day, report any faults, contact the fire service if alarms are sounding, silence or reset panel on say so from the Fire Service)
Many people mock me for suggesting this, afterall trying to get people to volunteer in this day and age may seem like an absolute non starter, but you would be suprised, particularly if some form of incentive is offered (such as reduction of rent or service charges) how readily people will volunteer.
Clearly nominated residents would need to be given pukka training and guidance on how to perform that duty, but it can, and does, work very well.
With enough volunteers on hand you should always have suitable cover within the block!