Jostein,
Speed and car-to-car distance are critical factors for thruput.
You can do higher speeds and shorter car-to-car distances until...
somebody touches their brakes!  Then the flow stops, often with a crash.
My recollection is 30 miles per hour is optimal (not far from 50 km/h).
Morning and evening rush hours on big city expressways become amazing.
Some flows are expedited by drivers looking 2-3 cars ahead,
thru the windshields of the cars in front, to anticipate braking.
Regards,  Bob S.

On Fri, May 8, 2009 at 2:58 AM, AlunFoto <[email protected]> wrote:
> IIRC, there are two main parameters deciding the throughput. One is
> the speed limit in the constricted area, and the other is the amount
> of congestion cluttering the entrance to the constricted area. From
> the same memory, I have it that 50 km/h is the optimal throughput
> speed for a constricted area (some consideration of accident risk,
> car-to-car distance and traffic speed all together). For the
> congestion part, I think the argument went that if everyone drives as
> far as possible before merging, it requires a near full stop for
> everyone to merge the lanes. With early merging (and therefore gradual
> deceleration), traffic would flow better because everyone only have to
> reduce speed to what applies in the constricted area. I think there
> was some consideration of accident risk involved there too.
>
> Doesn't take many cheaters to blow that theory anyway, though...
>
> Jostein
>
> 2009/5/8 Bob Sullivan <[email protected]>:
>> Bob W,
>> I think not.
>> You are letting geometry confuse you.
>> The service rate is the rate at which cars are disgorged from the queue.
>> 100 yards of construction may have 1, 2, 3, or 10 cars traversing it
>> single file.
>> 200 yards of construction would have twice as many cars but still the
>> same service rate.
>> 1000 yards of construction could have 10X the cars and still the same
>> service rate.
>> Regards,  Bob S.
>>
>> On Thu, May 7, 2009 at 5:21 PM, Bob W <[email protected]> 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.
>>>>
>>>> On Thu, May 7, 2009 at 4:38 PM, Bob W <[email protected]> wrote:
>>>> > Sure, but the earlier they merge, the longer the pipe (ie
>>>> longer service
>>>> > time), which leads to longer queues.
>>>> >
>>>> >>
>>>> >> Bob,
>>>> >> That's not really true.
>>>> >> Make the pipe as big as you want (as many lanes) before the
>>>> >> constriction (to one lane).
>>>> >> Traffic flow will not improve.
>>>> >> Regards,  Bob S.
>>>> >>
>>>> >> On Thu, May 7, 2009 at 2:29 AM, Bob W <[email protected]> wrote:
>>>> >> > If everyone merges early they still need to know the rule
>>>> >> to avoid huge jams
>>>> >> > in one or both lanes, but the unused lane is no longer
>>>> >> serving traffic, so
>>>> >> > the total speed of the traffic is much slower.
>>>> >> >
>>>> >> > Bob
>>>> >
>>>> >
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