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Outcast_Shadow
2019-06-12, 10:23 PM
A friend is going to be running a game soon for which she is looking to see if there is any easy way for her to calculate the intersection intervals of multiple patrol groups traversing routes of differing lengths.

I couldnít help her directly, at least not off the top of my head, but I told her Iíd be happy to ask around. This is the first of my attempts to do so.

So the variables as I first spot them would include number of patrols, number of routes, speed of patrols, and length of routes. Can anyone help rough out a formula?

I feel like this has something to do with harmonics and wave functions but I canít pull anything up from that far back in my maths history.

Solution found staring in my face. Apologies.

Pauly
2019-06-13, 03:10 AM
A friend is going to be running a game soon for which she is looking to see if there is any easy way for her to calculate the intersection intervals of multiple patrol groups traversing routes of differing lengths.

I couldnít help her directly, at least not off the top of my head, but I told her Iíd be happy to ask around. This is the first of my attempts to do so.

So the variables as I first spot them would include number of patrols, number of routes, speed of patrols, and length of routes. Can anyone help rough out a formula?

I feel like this has something to do with harmonics and wave functions but I canít pull anything up from that far back in my maths history.

The information you need:
Number of guards per shift.
The split between guards on patrols (looking for bad guys) and in garrison. (Ready to Respond to the alarm)
Number of routes
Number of guards per patrol (it easiest if this is the same for all patrols)
Length of shift
Length of time for each route (it is easiest if each route takes the same amount of time).

Your frequency of patrols will flow from the available staffing.

Outcast_Shadow
2019-06-13, 09:21 AM
I missed the dead simple solution on this one. Iím good now... and feel a bit foolish

Malphegor
2019-06-23, 11:17 AM
I missed the dead simple solution on this one. Iím good now... and feel a bit foolish

Eh sometimes all thatís needed to solve a conundrum is to ask a question- tech guys call this the Rubber Ducky Method- you ask a yellow rubber duck how to solve the problem and in asking the question your mind resolves it.

Beleriphon
2019-06-23, 11:41 AM
A friend is going to be running a game soon for which she is looking to see if there is any easy way for her to calculate the intersection intervals of multiple patrol groups traversing routes of differing lengths.

I couldnít help her directly, at least not off the top of my head, but I told her Iíd be happy to ask around. This is the first of my attempts to do so.

So the variables as I first spot them would include number of patrols, number of routes, speed of patrols, and length of routes. Can anyone help rough out a formula?

I feel like this has something to do with harmonics and wave functions but I canít pull anything up from that far back in my maths history.

Solution found staring in my face. Apologies.

Line graph with time/distance and each patrol as a separate line?

Outcast_Shadow
2019-06-24, 07:44 AM
Line graph with time/distance and each patrol as a separate line?
Prime factorization to find lowest common multiple.