Hi Stretch
1- opening the doors to rooms will let the smoke detectoors operate more quickly BUT most important will allow the effects of fire and smoke to spill out of the room eliminating any chance you have of safe escape past the room on fire. Heres an illustration- nothing more - times are off the top of my head
Start a clock ticking.
Door open scenario- Fire starts at 0 secs. Smoke detector in room if fitted operates at 45 secs. Smoke fills ceiling space above door and spills into hall- 90 secs. Detector in hall operates 100 secs fire and smoke fill staircase and heat makes door impassable 200- 240 secs - result trapped upstairs after 4 minutes. Fire has free supply of oxygen escalates whole house well alight in 600 secs- still trapped upstairs- try to escape by window.
Door closed scenario- fire starts at 0 secs, smoke detector in room if fitted operates at 45 secs, room fills with smoke 100- 150 secs, wisps of smoke pass into hallway 120- 150 secs, smoke detector in hall operates 150-180 secs, door prevents spread of fire and most smoke into staircase, staircase with standard household doors remains tenable and cool for at least 600 secs, closed door inhibits supply of oxygen to fire, fire dies down.
Keeping the door closed means you know about the fire about a minute later - but it buys you at least 10 minutes extra time during which you can escape down stairs and limits the growth of the fire and subsequent damage.
2- It may be possible to improve your existing doors- see products by
www.envirograf.co.uk.