|
|
|
|
|
|
|
| Boycott shampoo! Demand the REAL poo! |
![]() |
The cost of resources and environmental stress are treated on another web-page. This page will deal with the beam system's ability to carry out its assigned transportation job in an efficient manner. It contains some calculations as to the traffic capacity, but is essentially a non-technical page. Let´s see, then, what is meant by an efficient transportation job.
|
|
he purpose of traffic is to move many people (or much goods) in shortest possible time, from point of departure to destination (for instance, moving people between their living quarters and their places of employment). The transport capacity could for instance be measured in how many people can pass through a cross-section of a certain route per hour. The travel time depends on the average speed the vehicles can keep in a certain network of traffic routes. High transport capacity and short travel time will be required if the beam-carried traffic is to be competitive.
|
Traffic separationBoth roads and railway tracks can be built with separation from opposing traffic (such as in tunnels underneath cities or with highways on bridges above the cities). In such cases there will, like in the beam traffic, be no other kinds of traffic (such as pedestrians and bikers), no opposing traffic, and no crossing traffic on the travel route. |
| But implementing this traffic separation is - because of the heavy vehicles and space-demanding highways - very expensive and quite cumbersome. And there is still the difficulty of handling sudden obstacles on the route without suffering personal and material damages. This is because human drivers suffer from delays in discovering and reacting to these obstacles, | and also because of varying distances between the cars, varying braking capacity, and poor control of passenger safety. Extreme examples of this are the fogbanks and slippery roadbeds that sometimes occur in for instance Germany. These conditions indirectly cause mass collisions and great havoc on the highways, and traffic separation does not do much good in such cases. |
The beam vehicles will: |
|
When and why could congestions occur? Well, there could be 3 reasons for it:
The first item is more of a safety problem than a design problem. Affected cars would fall into 2 categories:
|
![]() Figure 2:1 |
The second item is very much a design problem. If these stops are getting to be too frequent, one would have to construct an additional beam, more or less in parallel to the thru-fare beam, which the cars could shunt into and stop without impeding other traffic.There are various ways that this could be done. |
|---|
he third item has to do with capacity. If the condition is rarely occuring, such as at football games and the like, one could probably put up with it. If the congestion is regularly occuring, then:
In the point-synchronous traffic system, the cars on the joining beams would be travelling in assigned timeslots after the booking points. If the growing queues grow beyond the booking points, the node computer would be aware of this (since it handles these timeslot assignments) and tell arriving cars in a general broadcast about the situation. Those cars would then make a re-evalution of their travel route on the basis of estimated time to pass through this shunt. This estimation would have to be based on the length of the queue between the booking point and the shunt, since the situation beyond the booking point cannot readily be appraised. How, then, are the queues after the booking point handled? Well, there could be 2 scenarios:
|
But car B might have to slow down anyway, because it is coming too close behind car A.
![]() Figure 2:2In this situation it could happen that one queue dissappers but not the other. What then? Well, this situation would rectify itself automatically, because the existing queue would get monopoly on the shunt, whereupon a new queue would grow on the other beam, whereupon we would be back to the previous situation with 2 queues. |
How do we handle a situation where there is a queue also after the shunt? In the same manner as the foregoing case, with a queue-speed of half that allowed after the shunt, except that this speed now is reduced. Reduced to what? Well, that would have to be reported by the next node, which is handling that queue. There is one questionmark in regard to this. A weaving shunt (which is what we are talking about here) is a merger of 2 beams into one. But what if there are more shunts close together in rows, handled by the same node computer? Well, insofar as queues build up on those beams as well, each shunt would be handled in the manner described above, and as shown in the illustration. With many shunts closely after each other, one would thus have queues on different beams, moving at different speeds, depending on where each beam join the other and on the traffic situation on that particular spot. This might seem unfair, but this is the easiest and most logical way to handle queues, and this is how queues mostly are handled on the streets. If this leads to undesirable consequences, then that is an indication that the beam network is not well designed. Back to the drawing board!
In all three instances that could give rise to traffic congestion, one finds that the finer the mesh of the beam network the better. The more alternative routes that are available for any source - destination configuration, the more resilient the network becomes. The network is controlled by computers, and this is what computers are really good at, compared to humans; to quickly make complicated choices between a host of alternatives. |
|
How much traffic can a beam handle? Well, if we for the present confine our discussion to the handling of
passengers, we find, after some thought, that the capacity is a function of a) average speed and b) the safety distance between the cars. | The safety distance, in turn, is dictated by how fast the cars can decelerate in an emergency, without undue discomfort to the passengers. As for the speed, it will of course vary, due to the following circumstances: |
![]() |
| ![]() |
eam-carried vehicles are in the FLYWAY®-concept planned to have a passenger capacity for 1, 2, 3, 4, 6, 8, 15 and (maybe) 30 and 45 people respectively. The last two alternatives could be accomplished by coupling two and three 15-seat cars together. What size of vehicles will travel on particular routes will be determined by demand in the suburb in question and what hour of the day, etc. |
The system will always use vehicles that are most suited to the passenger demand everywhere, based on statistics that are always kept up-to-date. In the table below, the results are shown only for the smallest vehicles which takes 1 person, and for the largest vehicle, which takes 32 persons. Using the calculation method detailed below, one can easily figure out the corresponding numbers for all the vehicle sizes in between. |
|
v = speed (meters per second) a = acceleration or retardation (meter / s2) r = reaction time (= 0.15 seconds for FlyWay) (for a computerized system such as this, the reaction time is considerably shorter than for a human motorist) L = the length of the car in meters D = distance in meters between the center of two cars (see the figure) T = distance in seconds between two cars j = jerk (m/s3) at retardation, i.e. how the rate of retardation changes over time. This is a so-called comfort factor,whose calculation has to be experimentally arrived at. |
Figure 3:2 |
|---|
|
From this, we can derive the following equations:
1: T = D/v |
The first equation should be pretty obvious. The second equation contains 4 terms. Let's make a rough estimate of the relative importance of those terms. |
he first term represents the reaction time. The vehicle could be commanded to stop, whereupon it would react within 0.05 seconds.Or it could receive an alert from the car ahead, in case of accident. Then we would have to take into account the time it takes to generate the signal, as well as to transmit and receive it. This comes to about 0.10 seconds. Or the vehicle could detect an object with one of its radars. The SwedeTrack vehicles might use one radar mounted on the propulsion vehicle inside the beam. The other radar would be mounted on the cabin or carriage. In this case the radar would look forward in the direction of travel, and would sweep sideways back and forth and also vertically, covering a certain "window" where obstacles would affect the beamcar. As there is sweep time involved, the reaction time would come to 0.15 seconds. This being the largest figure, it is the one we have used in our calculations. Further, let's assume a speed of 35 meters per second, which corresponds to 126 km/h. |
![]() Figure 3:3The second term represents the distance covered before the car could be brought to a standstil, assuming that it could instantly apply the assigned retardation. In reality, it has to be modified by the third term. |
We should be able to calculate with a retardation of 2 g, considering that these occurences are (or should be) exceptionally rare. 2 g then corresponds to 19.6 m/s2, and the whole term comes to 31.22 meters. The third term contains the jerk-factor. This is a comfort factor which is arbitrarily set to 12 m/s3, and it represents the change in the rate of retardation. As stated above, regarding the second term, the beamcar has to gradually increase its retardation from zero to the assigned retardation rate. This term thus comes to 28.61 meters in our example. It should be noted that this factor would probably be set to infinite in an emergency-braking situation. These situations would be extremely rare, but they have to be taken into account. Thus, travelers and/or goods should be strapped in. The fourth term in the equation is the length of the car. FLYWAYs largest suggested vehicle is almost 6 meters in length and takes at the most 15 passengers. |
|
In this example we get: D = 5.25 + 31.22 + 28.61 + 6 = 71 meters for "orderly" braking, and D = 5.25 + 31.22 + 6 = 43 meters for emergency braking (the third term being omitted). We can thus see that the second and third terms dominate. If we were to interconnect, say, 3 cars to form a train, we would thus almost tripple the capacity on the beam. But there would also be three times as many casualities if something happens. This matter of coupling cars together is further explained on another webpage. The second term above calculates for a so-called "brickwall stop". This means that if the car ahead would meet with an "immovable object", the car following behind would still be able to stop in time, on those 31 meters (= about 100 feet). |
Let´s see how these terms each influence how many people that would be transported in a beam per hour for different speeds. In table 1 below, we will assume that there are 1.25 persons per vehicle (which is the usual rate for motorcars in Western countries). We will also, for table 1, assume that: |
| Speed (km/h) | Speed (m/sec) | First Term | Second Term | Third Term | Distance betw. vehicles (meter) | Time betw. vehicles (seconds) | Persons/h Length of car = 0 m |
Persons/h Length of car = 3.5 m |
Persons/h Length of car = 6 m |
|---|---|---|---|---|---|---|---|---|---|
| 10 | 2.78 | 0.42 | 0.19 | 2.31 | 2.92 | 1.05 | 4 274 | 1 946 | 1 401 |
| 20 | 5.56 | 0.83 | 0.77 | 4.63 | 6.23 | 1.12 | 4 010 | 2 568 | 2 043 |
| 30 | 8.33 | 1.25 | 1.74 | 6.94 | 9.93 | 1.19 | 3 776 | 2 792 | 2 354 |
| 40 | 11.11 | 1.67 | 3.09 | 9.26 | 14.01 | 1.26 | 3 568 | 2 855 | 2 499 |
| 50 | 13.89 | 2.08 | 4.82 | 11.57 | 18.48 | 1.33 | 3 382 | 2 844 | 2 553 |
| 60 | 16.67 | 2.50 | 6.94 | 13.89 | 23.33 | 1.40 | 3 214 | 2 795 | 2 557 |
| 70 | 19.44 | 2.92 | 9.45 | 16.20 | 28.57 | 1.47 | 3 062 | 2 728 | 2 531 |
| 80 | 22.22 | 3.33 | 12.35 | 18.52 | 34.20 | 1.54 | 2 924 | 2 653 | 2 488 |
| 90 | 25.00 | 3.75 | 15.63 | 20.83 | 40.21 | 1.61 | 2 798 | 2 574 | 2 435 |
| 100 | 27.78 | 4.17 | 19.29 | 23.15 | 46.60 | 1.68 | 2 682 | 2 495 | 2 376 |
| 110 | 30.56 | 4.58 | 23.34 | 25.46 | 53.39 | 1.75 | 2 576 | 2 417 | 2 315 |
| 120 | 33.33 | 5.00 | 27.78 | 27.78 | 60.56 | 1.82 | 2 477 | 2 342 | 2 254 |
| 130 | 36.11 | 5.42 | 32.60 | 30.09 | 68.11 | 1.89 | 2 386 | 2 269 | 2 193 |
| 140 | 38.89 | 5.83 | 37.81 | 32.41 | 76.05 | 1.96 | 2 301 | 2 200 | 2 133 |
| 150 | 41.67 | 6.25 | 43.40 | 34.72 | 84.38 | 2.03 | 2 222 | 2 134 | 2 075 |
rom the table above, one can draw some interesting conclusions:
![]()
![]() |
t can be shown, however, by similar calculations, that optimal speed is even lower for manually driven road vehicles. The reaction time of manually driven vehicles is longer (0.8 seconds versus 0.15 for automatic vehicles) and motorists cannot brake as hard as the beam vehicles (0.5 g versus 2.0 g). Keep in mind that we are talking about emergency brakings that normally should not happen in the beam traffic system, but in the road traffic they are rather common!The 2 diagrams below show how many persons can safely be transported in 1 hour in one traffic lane and on one beam, respectivelly, past a given point, as a function of the average speeds of the vehicles. Each vehicle is assumed to carry 1.25 persons.
![]() Figure 3:6
The top diagram shows the beam traffic vehicles, using these assumptions:
The bottom diagram shows the road traffic vehicles, using these assumptions:
![]() Figure 3:7 |
Units used in Table 1 below: | ||
| km/h: | Speed in kilometers/hour. | |
| p, / vehicle: | Number of passengers per beam vehicle. | |
| L, m: | Length of vehicle in meters. | |
| g = 9.81 m / s2 | The earth's acceleration at sea level. This is used as acomparison factor when measuring acceleration and retardation. | |
| Maximum brake = 0.2 g: | Seated passengers will suffer insignificant (if any) injuries without having to take any particular safety precautions. | |
| Maximum brake = 0.5 g: | Passengers with safety belts will suffer insignificant (if any) injuries. | |
| Maximum braking = 2 g: | Passengers with the back of their chairs in the direction of travel will suffer insignificant (if any) injuries. | |
| T, seconds: | Time distance between vehicles | |
| P, / hour: | People flow through a crossection, in persons per hour. | |
| vmax, km/h: | Highest permissible speed, km / hour. | |
| vmin , km/h: | Lowest permissible speed, km / hour. | |
The following 4 tables use the requirement above of a "brickwall" stop ability.
![]()
| Suburban Areas and Trunk Lines | Inner-city Areas | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Width of Vehicle | p/vehicle L, m | Max. brake | T (sec.) | P,/ hour | vmax (km/h) | vmin (km/h) | T (sec.) | P,/ hour | vmax (km/h) | vmin (km/h) |
| 1 person per row; 0.7 m | 1 person; 1.6 m | 0.2 g | 10 | 360 | 143.4 | 0.6 | 4.3 | 837 | 60.6 | 1.4 |
| 0.5 g | 4 | 900 | 142.5 | 1.5 | 1.8 | 2 000 | 61.4 | 3.4 | ||
| 2.0 g | 1 | 3 600 | 138.0 | 6.0 | 0.52 | 6 923 | 61.4 | 13.5 | ||
| 4 persons per row; 2.8 m | 32 persons; 10.0 m | 0.2 g | 10 | 11 520 | 140.3 | 3.7 | 4.8 | 24 000 | 60.6 | 8.6 |
| 0.5 g | 4 | 28 098 | 138.2 | 9.4 | 2.4 | 48 000 | 67.1 | 19.3 | ||
| 2.0 g | 1.2 | 96 000 | 134.2 | 38.6 | 1.9 | 60 632 | 253.1* | 20.5 | ||
| Width of vehicle (meters) |
Number of passengers per vehicle and length of vehicle |
Max. retardation | Min. time distance betw. vehicles (seconds) |
Max. person-flow (persons /hour) |
Optimal speed (km/hour) |
Distance betw. vehicles (meters) |
|---|---|---|---|---|---|---|
| 1 person 0.7 m. |
1 person 1.6 m. |
0.2 g. | 1.26 sec. | 2 857 | 9.1 | 3.2 | 0.5 g. | 0.80 sec. | 4 500 | 14.4 | 3.2 | 2.0 g. | 0.40 sec. | 9 000 | 18.0 | 3.2 | 3 persons 3.4 m. |
0.2 g. | 1.84 sec. | 5 870 | 13.3 | 6.8 | 0.5 g. | 1.17 sec. | 9 231 | 21.1 | 6.8 | 2.0 g. | 0.58 sec. | 18 621 | 41.8 | 6.8 |
| 2 persons 1.4 m. |
4 persons 3.2 m. |
0.2 g. | 1.79 sec. | 5 517 | 12.9 | 6.4 | 0.5 g. | 1.13 sec. | 12 743 | 20.3 | 6.4 | 2.0 g. | 0.57 sec. | 25 263 | 41.0 | 6.4 | 10 persons 5.9 m. |
0.2 g. | 2.61 sec. | 13 793 | 18.8 | 11.8 | 0.5 g. | 1.65 sec. | 21 818 | 29.7 | 11.8 | 2.0 g. | 0.82 sec. | 43 902 | 59.0 | 11.8 |
| 4 persons 2.8 m. |
16 persons 6.4 m. |
0.2 g. | 2.53 sec. | 22 767 | 18.2 | 12.8 | 0.5 g. | 1.60 sec. | 36 000 | 28.8 | 12.8 | 2.0 g. | 0.80 sec. | 72 000 | 57.6 | 12.8 | 32 persons 10.0 m. |
0.2 g. | 3.16 sec. | 36 456 | 22.8 | 20.0 | 0.5 g. | 2.00 sec. | 57 600 | 36.0 | 20.0 | 2.0 g. | 1.00 sec. | 115 200 | 72.0 | 20.0 |
| Width of vehicle (meters) |
Number of pass- engers per vehicle and length of vehicle |
Max. retar- dation | Time distance betw. vehicles (seconds) |
Person- flow (persons /hour) |
Max speed (km/ hour) |
Min speed (km/ hour) |
Average speed (km/ hour) |
Max distance betw. vehicles (meters) |
Min distance betw. vehicles (meters) |
Average distance betw. vehicles (meters) |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 person 0.7 m. |
1 person 1.6 m. |
0.2 g. | 10 | 360 | 143.4 | 0.6 | 72.0 | 398.4 | 1.6 | 200.0 | 0.5 g. | 4 | 900 | 142.5 | 1.5 | 72.0 | 158.4 | 1.6 | 80.0 | 2.0 g. | 1 | 3 600 | 138.0 | 6.0 | 72.0 | 38.3 | 1.7 | 20.0 | 3 persons 3.4 m. |
0.2 g. | 10 | 1 080 | 142.8 | 1.2 | 72.0 | 396.6 | 3.4 | 200.0 | 0.5 g. | 4 | 2 700 | 140.9 | 3.1 | 72.0 | 156.5 | 3.5 | 80.0 | 2.0 g. | 1.1 | 9 818 | 146.4 | 12.0 | 79.2 | 44.7 | 3.7 | 24.2 |
| 2 persons 1.4 m. |
4 persons 3.2 m. |
0.2 g. | 10 | 1 440 | 142.8 | 1.2 | 72.0 | 396.8 | 3.2 | 200.0 | 0.5 g. | 4 | 3 600 | 141.1 | 2.9 | 72.0 | 156.7 | 3.3 | 80.0 | 2.0 g. | 1.1 | 13 091 | 147.1 | 11.3 | 79.2 | 45.0 | 3.4 | 24.2 | 10 persons 5.9 m. |
0.2 g. | 10 | 3 600 | 141.8 | 2.2 | 72.0 | 394.0 | 6.0 | 200.0 | 0.5 g. | 4 | 9 000 | 138.5 | 5.5 | 72.0 | 153.9 | 6.1 | 80.0 | 2.0 g. | 1.1 | 32 727 | 135.9 | 22.5 | 79.2 | 41.5 | 6.9 | 24.2 |
| 4 persons 2.8 m. |
16 persons 6.4 m. |
0.2 g. | 10 | 5 760 | 141.7 | 2.3 | 72.0 | 393.5 | 6.5 | 200.0 | 0.5 g. | 4 | 14 400 | 138.0 | 6.0 | 72.0 | 153.3 | 6.7 | 80.0 | 2.0 g. | 1.1 | 52 364 | 133.6 | 24.8 | 79.2 | 40.8 | 7.6 | 24.2 | 32 persons 10.0 m. |
0.2 g. | 10 | 11 520 | 140.3 | 3.7 | 72.0 | 389.7 | 10.3 | 200.0 | 0.5 g. | 4 | 28 098 | 138.2 | 9.4 | 73.8 | 157.4 | 10.7 | 84.1 | 2.0 g. | 1.2 | 96 000 | 134.2 | 38.6 | 86.4 | 44.7 | 12.9 | 28.8 |
| Width of vehicle (meters) |
Number of pass- engers per vehicle and length of vehicle |
Max. retar- dation | Time distance betw. vehicles (seconds) |
Person- flow (persons /hour) |
Max speed (km/ hour) |
Min speed (km/ hour) |
Average speed (km/ hour) |
Max distance betw. vehicles (meters) |
Min distance betw. vehicles (meters) |
Average distance betw. vehicles (meters) |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 person 0.7 m. |
1 person 1.6 m. |
0.2 g. | 4.3 | 837 | 60.6 | 1.4 | 31.0 | 72.3 | 1.6 | 37.0 | 0.5 g. | 1.8 | 2 000 | 61.4 | 3.4 | 32.4 | 30.7 | 1.7 | 16.2 | 2.0 g. | 0.52 | 6 923 | 61.4 | 13.5 | 37.4 | 8.9 | 2.0 | 5.4 | 3 persons 3.4 m. |
0.2 g. | 4.4 | 2 455 | 60.4 | 2.9 | 31.7 | 73.9 | 3.6 | 38.7 | 0.5 g. | 1.9 | 5 684 | 61.2 | 7.2 | 34.2 | 32.3 | 3.8 | 18.1 | 2.0 g. | 0.75 | 14 400 | 88.0 | 20.0 | 54.0 | 18.3 | 4.2 | 11.3 |
| 2 persons 1.4 m. |
4 persons 3.2 m. |
0.2 g. | 4.4 | 3 273 | 60.6 | 2.7 | 31.7 | 74.1 | 3.3 | 38.7 | 0.5 g. | 1.9 | 7 579 | 61.7 | 6.7 | 34.2 | 32.6 | 3.5 | 18.1 | 2.0 g. | 0.7 | 20 571 | 80.1 | 20.7 | 50.4 | 15.6 | 4.0 | 9.8 | 10 persons 5.9 m. |
0.2 g. | 4.5 | 8 000 | 59.7 | 5.1 | 32.4 | 74.6 | 6.4 | 40.5 | 0.5 g. | 2.0 | 18 000 | 59.1 | 12.9 | 36.0 | 32.8 | 7.2 | 20.0 | 2.0 g. | 1.2 | 30 000 | 152.8 | 20.0 | 86.4 | 50.9 | 6.7 | 28.8 |
| 4 persons 2.8 m. |
16 persons 6.4 m. |
0.2 g. | 4.6 | 12 522 | 60.8 | 5.5 | 33.1 | 77.7 | 7.0 | 42.3 | 0.5 g. | 2.1 | 27 429 | 62.3 | 13.3 | 37.8 | 36.3 | 7.8 | 22.1 | 2.0 g. | 1.3 | 44 308 | 167.4 | 19.8 | 93.6 | 60.4 | 7.2 | 33.8 | 32 persons 10.0 m. |
0.2 g. | 4.8 | 24 000 | 60.6 | 8.6 | 34.6 | 80.7 | 11.4 | 46.1 | 0.5 g. | 2.4 | 48 000 | 67.1 | 19.3 | 43.2 | 44.7 | 12.9 | 28.8 | 2.0 g. | 1.9 | 60 632 | 253.1 | 20.5 | 136.8 | 133.6 | 10.8 | 72.2 |
wiveling the chairs so that the back faces the direction of travel
would make a great improvement in the beam's traffic capacity. These kind of seats would require more space, however, so it is not certain that they are a good idea. However, using the biggest vehicle (the one that will take 32 people) this would increase the passenger flow to |
This swivelling of the chair only needs to be used on the beam links that have the highest speeds and probably only during peak traffic hours. At other times, the cars will be further apart, even though the speed would be the same as during peak hours. One scenario would then be to have the chairs automatically swivel in position with their backs in the travel direction, as soon as the car exceeds a certain speed. When the cars slows down or stops, the chairs would swivel back again. | ![]() |
|---|
| During times of low traffic intensity no special safety arrangements would need to be made (such as safety belts and swivelling chairs) and yet the traffic flow at any link could be kept at about 11 500 persons / hour. | This would equal the capacity of a 4-lane freeway full of motor cars during peak hours, at which time the cars would move at lower speeds than the beam cars, because of crowding and traffic lights. |
![]() |
| A strategy for the inner city could be to during peak traffic hours always travel with safety belts . Using only the small 1-person vehicle one could then arrive at a capacity of 2 000 people per hour and travel direction for a certain link. This is almost the capacity of an undisturbed lane of motorcars. In reality, the lane would not be undisturbed, as there are always intersections, |
pedestrian crossings and traffic lights, thus considerably lowering the average travelling speed for street vehicles. Using the largest vehicles one could attain a capacity of 48 000 people an hour and travel direction for one link and above the ground! This would be sufficient for any city in the world, even for Bangkok in Thailand! |
general conclusion is also that large vehicles on the beams are only motivated in order to stretch the capacity on the links. If economical calculations show that it would make better sense to increase the car-carrying capacity of the network, then those large vehicles would practically never be needed, except at special, crowdgathering events, such as football games.
| The obvious way to make this calculation is to always (even during peak traffic hours) allow people to have a choice to, at a higher price, travel in smaller, individually booked vehicles rather than in the larger time-table bound vehicles, and then measure the resulting backlog (if any) of traffic that people are willing to put up with in order to get more travel comfort. One should not forget the factors that influence peoples' choice here; it is not primarily one of privacy, but rather one of getting to one's destination as speedily as possible. | ![]() |
|---|
| Copyright © 2004, SwedeTrack System. | Last Updated: 2007-01-17 |
Webmaster |
This site is maintained by Johnson Consulting |
|---|