Yes, and it's at the drums that the merges should take place. In Michigan, the drums stay up all summer, so drivers start merging sooner and sooner. Eventually, they're merging mile before the drums and giving the finger or worse to anyone who waits until they get close to the barrels. It's lunacy, and it's counterproductive.
Paul
On May 8, 2009, at 2:37 AM, Joseph McAllister wrote:

How do you explain the Dept. of Highways procedure, when they have to close lanes on a highway, of placing the drums that force the traffic to merge miles ahead of the work zone then? Slowly eliminating a lane at a time until some 1000 yards prior to the actual construction.

Think someone somewhere has done the math on this before? Not to mention many years of experience in controlling traffic flow through restrictions. If your conclusions were valid, they'd just leave all the lanes open until a few hundred yards before "the merge", eh?



On May 7, 2009, at 15:21 , Bob W wrote:

The issue of fairness is dealt with at the time of merging, whenever it's done, by the drivers all letting one person go first. If the merge is at the
last possible time and everybody plays by the rules there can be no
unfairness.

Each traffic lane is equivalent to a server in a queueing system. The size of the queue is determined by the arrival rate, the number of servers, and the service time. By reducing the number of servers - that is, by reducing the highway to one lane, queues are more likely to build up. Similarly, by
increasing the service time the queues are likely to increase.

In this example the service time is the time it takes for a car to pass through the road works which might be, for example, 100 yards long. If everybody merges 100 yards early they take a lane out of commission before they need to, making the 'pipe' 200 yards long and thereby increasing the
time it takes to get through - the service time (probably by 2X).

Bob



Bob W,
Gotta do the math.
The service rate is fixed. The length of the queue, be it one or two
lanes wide depends completely on the arrival rate.  Stack 'em in one
lane, two lanes, or three lanes it doesn't matter. Average wait time
will be the same.
The issue is fairness as some asses try to cut into the queue and get
thru faster.
For every minute they gain on the average, the rest of the group
suffers an additional minute wait.
Regards,  Bob S.

Joseph McAllister
Lots of gear, not much time

http://gallery.me.com/jomac
http://web.me.com/jomac/show.me/Blog/Blog.html


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