I don’t think that there is any way you can coordinate the two. You need to handle each, in the order of importance for the fire you’re at. It takes time to get to the roof, and it also takes time to stretch into position.
1) how would you coordinate both vertical and horizontal ventilation operations to benefit each other and when would you do this?
Here, with the style of construction that is most prevalent, any kind of attic fire. However, we have a lot of homes that are balloon frame construction. I have seen it where the building presented a basement fire, only to have the attic fully involved as well.
2)in what conditions would you chose to vertically ventilate?
Here is some video shot of a truck crew opening a roof here, taken last winter by a news helicopter.
We don’t use chain saws on any roofs. We have always used circular saws. For years we used the Homelite XL-98, but have recently changed to the Husqueverna. All firefighters here carry an axe. If we're going up a peaked roof, two roof ladders always go up. If it's a flat roof, you may still need a roof ladder. It is impossible to have a set policy in place for every situation.
4)besides a chainsaw and pike, what other tools would you use for vertical vent operations?
A pike pole works well, but I have also used a 14ft roof ladder to bust the ceiling down.
5) once you have breached the roof (made a hole) what is the proper procedures for breaching the next layer or roof to get the smoke flowing through?
You do need to see what you get out of the hole first.
Know your construction, particularly in your first due. Find out if the majority of homes are built with actual wood members and nails. Older homes that have real structural members will with stand a lot of fire before they fail. The plates on newer trusses let loose very quickly. Roofs have a feel though, and if it feels weak, it is weak. Read the building‘s conditions; how much fire is directly under the roof, is it stem to stern, is the smoke pumping out from under the shingles.
6) what are good ways to check that the roof you are walking on is solid and not ready to fall through? how do you check for this and what to you look/listen for?