Re: Fastest method for comparing overlapping times in random time series

• To: mathgroup at smc.vnet.net
• Subject: [mg64978] Re: Fastest method for comparing overlapping times in random time series
• From: "Ray Koopman" <koopman at sfu.ca>
• Date: Fri, 10 Mar 2006 05:15:09 -0500 (EST)
• References: <dulspn\$3an\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Prince-Wright, Robert G SEPCO wrote:
> I have two lists, list1{ {t1,t1+dt1}, {t2,t2+dt2},..{ti,ti+dti}}, and
> list2, each representing 'time(i)' and corresponding 'time(i) +
> deltatime(i)'. The time(i) values are determined by an exponential
> inter-arrival time model, and the durations are a scaled uniform random
> variable. Both lists are ordered on time(i). You can think of list 1 as
> representing periods when System 1 is not working, and list 2 as the
> periods when System 2 is not working. Example lists are given as Cell
> Expressions below together with code to convert to a ticker-tape Plot
> (you may need to stretch the graphic to see clearly). The challenge is
> to develop a fast method for determining the periods when both Systems
> are not working, i.e. to create a list corresponding to the start and
> finish times of the overlaps.
>
>  Thus far I have only managed to use a Do loop which is very slow for long lists!
>
>  Bob
>
>  [...data snipped...]

I don't have access at the moment to a system with Mathematica,
so I haven't tried this, but something like

IntervalIntersection[IntervalUnion[Interval/@list1],
IntervalUnion[Interval/@list2]]

seems like it ought to give what you want.

• Prev by Date: Re: Problem with Import and/or J/Link
• Next by Date: Third Announcement of the International Mathematica Symposium 2006
• Previous by thread: Re: Fastest method for comparing overlapping times in random time series
• Next by thread: Re: Fastest method for comparing overlapping times in random time series