Technical field:
[0001] This invention relates to a metro traffic management method wherein wagons do to
not stop at each metro station and no wagon overtakes other wagons.
[0002] The object of the present invention is to (a) increase the throughput capacity of
metro lines, (b) reduce trip times, (c) achieve savings of electricity and (d) reduce
the physical wear of metro vehicles (especially of their braking systems).
Background art:
[0003] Presently, metro wagons are coupled in train consists and travel as full consists
(one consist is made typically of three or four wagons). These train consists stop
at each and every station. When passengers board a train consist, they do not need
to mind which wagon they go in because all wagons go to the same places.
[0004] This is largely inefficient, especially in the case of long metro lines with many
stations and short distances between the stations. In this case, much of the time
of the passenger who travels to a long distance is wasted in unnecessary halting at
interim stations.
[0005] The method which most closely approximates this invention is [1], published by this
author on 3 December 2015 and its subsequently published variations [2-5]. The main
difference between the methods [1-5] and the method presented in this patent is that
here wagons travel without overtaking each other, conversely to [1-5] where overtaking
does take place. This is exactly why the methods [1-5] have only theoretical relevance,
and are practically inapplicable, while the method in the present patent is perfectly
applicable in real subway systems.
Gist of the invention:
[0006] Each wagon travels in 1, 2, 3, 4 mode. This means that the wagon first stops at the
first station, then skips one station, then skips two stations, and then skips three
stations, and then repeats the 1, 2, 3, 4 cycle.
[0007] Thus, each wagon stops at only 4 of the next 10 stations, meaning that the number
of start-stop cycles is reduced by factor of 2.5.
[0008] For each wagon we must count 1, 2, 3, 4 in order to know at which step of the 1,
2, 3, 4 cycle it is now. Furthermore, we must count the wagon's stations in order
to know at which station it has to stop. Each wagon depicted in Figures 1 and 2 is
tagged with the values of the these counters in (X:Y) format. For example, the blue
wagon (4:4) in Figure 1 is just departing from the red platform of the station and
will only need to stop at the fourth station. Wagon (4:4) is followed by another blue
wagon (4:3) which will skip this station plus two more stations and will only stop
at the third station (from this perspective it will stop at the third station, but
from the perspective of the previous station, i.e. the station of departure, it will
stop at the fourth station).
[0009] Let us take a random point A in the metro line. Let us have a wagon which has departed
from the station immediately before point A and will stop at the station immediately
after point A. Thus, the values of the counters of that wagon at point A are (1:1)
and the wagon is at step 1 of the 1, 2, 3, 4 cycle. The next two wagons to pass by
point A will be at step 2 and the values of their counters will be (2:2) and (2:1),
respectively. The next three wagons will be at step 3 and the values of their counters
will be (3:3), (3:2) and (3:1), respectively. Finally, four other wagons will pass
by point A - they will be at step 4 and the values of their counters will be (4:4),
(4:3), (4:2) (4:1), respectively. Once these 10 wagons pass by point A, the sequence
will be restarted and the next wagon will be (1:1).
[0010] Thus, based on the values of their counters, the wagons pass by point A in the following
order:
(1:1), (2:2), (2:1), (3:3), (3:2), (3:1), (4:4), (4:3), (4:2), (4:1).
[0011] Only the wagons whose second counter is 1 (one) stop at the next station. So, only
four of the ten wagons stop at that station. The other six wagons proceed without
stopping at the station.
[0012] While the order in which the wagons travel is important, equally important are the
exact places at which they stop.
[0013] The station platform is divided in four smaller platforms (sub-platforms, Figures
1 and 2). Only one wagon at a time can stop at a sub-platform. The length of the wagons
is around one-fourth of the length of the full train consist which can be accommodated
at the full platform (i.e. at the four sub-platforms).
[0014] The first sub-platform is reserved for wagons which will skip the next two stations
and stop at the third one. (The first sub-platform is the rearmost in downstream direction,
i.e. the direction in which the wagon is headed). Accordingly, the second sub-platform
is reserved for wagons which will skip three stations to stop at the fourth one. The
third sub-platform is wagons which will skip one station and stop at the second one.
Finally, the fourth platform (the first one in downstream direction) is reserved for
wagons which are due to stop at the next station.
[0015] The four sub-platforms are numbered 3, 4, 2, 1 in downstream direction and are colour-coded
in yellow, red, blue and green, respectively. With this colour-coding system, green
is the sub-platform for wagons whose next leg is the shortest (to the next station).
Red is the platform for wagons whose next leg is the longest (i.e. to the fourth station
counted from the station of departure).
[0016] Passengers must be mindful of which sub-platform they board a wagon. The station
of destination determines the right sub-platform of departure. To help passengers
choose the right sub-platform, at each station there is a passenger information board
(Figures 2, 3 and 4) with metro stations shown in the colour-coding system used for
the sub-platforms. The next table illustrates the content of these passenger information
boards:
Station: |
Colour of the circle(s): |
The station at which the board is installed |
White |
First downstream (next) |
Green |
Second |
Blue |
Third |
Yellow, green |
Fourth |
Red |
Fifth |
Red, blue |
Sixth |
Green |
Seventh |
Yellow, red |
Eighth |
Yellow |
Ninth |
Blue |
Tenth |
Green, red, yellow, blue |
[0017] Each station is represented by an appropriately coloued circle. Where the colours
are two or four (meaning that two or four sub-platforms are possible for departure
to that station), the station is represented with two or four partially overlapped
circles the uppermost of which has the colour of the sub-platform at which a wagon
will arrive first. Thus, the information on the board is dynamic rather than static,
because it needs to show which one of the possible wagons will be the first to arrive.
Accordingly, in order to reflect this dynamic information, the board is electronic
rather than paper-based.
[0018] The board after the 10
th station follows the same pattern (the 11
th station is coloured as the first, and so on). The colours of the board in the opposite
direction are exactly the same (station -1 is coloured same as station 1, and so on).
[0019] The appearance of the board is specific to each station. The next station (the first
downstream station) is always represented by a green circle, however, vis-à-vis other
locations a station may or may not be the first one. In Figures 4 and 5, Serdika Station
is green on the board at Opalchenska Station, because when seen from Opalchenska it
is the first one after it. The board at Konstantin Velichkov Station shows Serdika
in blue, because from the perspective of Konstantin Velichkov it is the second one.
[0020] It can be seen from the above table that for each station there is at least one wagon
which goes to that station so that passengers do not need to change wagons in order
to reach the station of destination.
[0021] The method can be adjusted to a different number of sub-platforms, e.g. 3 or 5. In
the case of 3 sub-platforms, each wagon travels to a scheme of 1, 2, 3. This means
that 3 wagons will stop at each station and other 3 wagons will skip that station.
Thus, the number of stops is reduced by a factor of 2. In the case of 5 sub-platforms,
each wagon travels to a scheme of 1, 2, 3, 4, 5. This means that 5 wagons will stop
at each station and other 10 wagons will skip that station. In this case the number
of stops is reduced by a factor of 3.
[0022] The fact that 4 out of 10 wagons stop at a station and 6 wagons skip that station
is one of the reasons why the claimed method increases the throughput capacity of
metro lines. The second factor is the arrangement of the wagons and of the sub-platforms
(the places at which the wagons stop). This arrangement ensures that three wagons
can stop at a station at the same time. These are the wagons with counters (4:1),
(1:1), (2:1). Wagon (2:2) would be forced to stop together with them. Therefore, (4:1),
(1:1), (2:2) and (2:1) can all stop at the same time. Once these wagons pass the station
their counters will acquire the values (1:1), (2:2), (2:1), (3:3), respectively: for
the wagons that have stopped, the first counter will change its value and the second
counter will acquire the same value as the first counter, while the only change for
the wagons that have not stopped will be a reduction of the second counter value by
one. Thus, at maximum load conditions, it takes two halts to let ten wagons pass through
the station - once three wagons and once one wagon. If the traditional traffic method
is used, the station would be served by 10 wagons arranged in two and half train consists
(4 wagons per train). This makes two and half stops instead of two.
[0023] The new traffic management method reduces the number of interim stops by 2.5 times
and thereby shortens the trip time. On the other hand, the waiting time at the stations
is increased by 2.5 times. This means that the new traffic management method is time-efficient
in heavy traffic conditions when intervals between the wagons are brief and waiting
times are limited. Conversely, in light traffic conditions, when the wagons in service
are less and waiting times are longer, the new traffic management method is inefficient
and leads to longer trip times.
[0024] For this reason the traffic management method is operated in two modes. The first
mode is the one described above and will be used in heavy traffic. In light traffic
mode, the wagons stop at all stations at which passengers are about to leave or board
the wagon. The light traffic mode reduces waiting times by a factor of four, because
each station is served by 4 individual wagons rather than by one train of four wagons.
In this mode the wagons do not skip stations unless no passenger has indicated that
he is due to leave or board the wagon. This indeed is a frequent situation because
(a) in light traffic the number of passengers is limited and (b) the train consist
is divided in four wagons (so the expected number of passengers leaving or boarding
the wagon is four times less).
[0025] Only two of the sub-platforms are used in the light traffic mode. Typically, these
are the foremost and the rearmost, or the two in the middle depending on the location
of the station gates.
[0026] In the light traffic mode there are two types of wagons: those that stop only at
front sub-platforms and those that stop only at rear sub-platforms. Thus passengers
know that when they board from the front sub-platform they will disembark at the front
sub-platform, similar to the existing method: passengers do know that when they board
a front wagon they will disembark from a front wagon too. The wagons travel in an
alternating order - one due to stop at front sub-platforms and one due to stop at
rear sub-platforms. This ensures that two wagons can stop at a station at the same
time.
[0027] Important is the procedure to switch between the two modes. The new mode applies
only to the wagons leaving the first station on the line while the wagons en route
follow the previous mode until they reach the terminal station.
Description of figures
[0028]
Figure 1. This figure shows Konstantin Velichkov Station and two blue wagons headed
to the right. Another red wagon has departed from the yellow sub-platform and is headed
left (now it is between the red and the blue sub-platforms). The topside shows a larger
stretch of the line (in smaller scale).
Figure 2. This figure shows Opalchenska Station. Blue wagons travel to the right and
red wagons are headed to the left. The blue ones (1:1) and (2:2) have just departed
from the green and respectively from the blue sub-platform. The red wagon (4:0) is
grinding to a halt at the green sub-platform. When this wagon departs, its counters
will be (1:1) because step 4 is followed by step 1.
Figure 2 also shows the passenger information board which directs passenger to the
sub-platform they need to use.
Figure 3. This figure shows again Opalchenska Station and the same passenger information
board on a larger scale.
Figure 4. Again, this figure shows Opalchenska Station and the same passenger information
board on an even larger scale so that station numbers and names can be seen.
Figure 5. This figure shows again Konstantin Velichkov Station and the passenger information
at that station which looks different than that at Opalchenska. The time in Figure
5 is six seconds behind the time at Figure 1. The blue wagon has not departed yet
and the red wagon is still by the yellow sub-platform from which it has just departed.
Examples of embodiment
Example 1.
[0029] Let us have a metro line where stations are 1 200 meters apart. Let the trains travel
at 20 m/s (72 km/h). Let the acceleration/deceleration rate be 1 m/s
2. Let the trains stay at each station for 10 seconds on the average.
[0030] In this setup, each needless stop is a waste of 30 seconds (10 seconds to halt, 10
seconds to stay and 10 seconds to depart). At a traveling speed of 20 m/s, it takes
60 seconds to go from one station to the next one. In this scenario, therefore, one-third
of the time will be lost in halts. With the metro management method claimed here,
the number of interim stops is reduced by 2.5, which means that from 10 stations we
do not stop at 6 of them. This translates in time savings of (6/10).(1/3)=20 %. Note
that with the same number of wagons waiting times will increase twice (it will be
not 2.5 times more because the wagons will travel 25 % faster), so it can be assumed
that the average time saving achieved will be in the region of 10 %, assuming that
the waiting time is 1/10 of the traveling time. This is possible when the wagons are
frequent (e.g. at one-minute intervals) and the traveling distance is more than one
station. If the traveling distance is one station then we do not save time. Conversely,
we will spend more time as waiting at the station platform will take twice as long.
[0031] Let us assume that half of the electricity consumed is spent on stops and starts,
and the other half is spent on keeping the vehicle going at a constant speed. Thus,
reducing the number of stops by a factor of 2.5 leads to electricity savings of 30
%.
[0032] Now let us calculate by how much the throughput capacity of the metro line will be
increased. Assuming that each wagon is 20 meters long, a train consist of 4 wagons
will need ca. 18 seconds in order to start and halt within 80 meters. Then we add
10 seconds of station time and conclude that it takes at least 28 seconds for 4 wagons
to go through. 10 wagons will go through in 70 seconds (28 × 2.5).
[0033] With the new metro management method, at maximum load conditions there will be two
stops for 10 wagons. The start and halt distance is 80 meters for the first stop and
120 meters for the second stop. This makes 18 plus 22 seconds. Add 2 × 10 seconds
of station time. The result is that 10 wagons at maximum load will go through in 60
seconds, i.e. the new metro management method increases the capacity of the metro
tube by around 17 %.
[0034] This discussion does not factor-in the presumption that with less wagons stopping
at the station (one or three instead of four), the time they spent at the station
should be less. Therefore, the expected capacity improvement may even exceed 17 %.
[0035] Another factor which is not accounted for is that with the new management method
the number of passengers leaving and boarding the wagons will be 2.5 times higher.
While the proportion of passengers leaving the wagon in the traditional method is
10 %, now 25 % of the passengers head to the doors. This suggests that vehicles may
stay at stations longer because there will be more people getting off and on. On the
other hand, in a crowded wagon those who are not disembarking stand in the way of
those trying to leave, so 25 % might disembark in roughly the same time as would 10
%.
Field of application (use) of the invention
[0036] The present metro traffic management method is appropriate for automated metro systems.
The method is not appropriate for metro systems relying on manned vehicles, because
it requires four times as many train drivers. Furthermore, the present method is conducive
to higher densities and shorter distances between vehicles, which make manned metro
vehicles more prone to accidents.
References
[0037]
- 1. Metro where every wagon has its own opinion (Beta 1), a computer program, 3 December
2015, http://www.dobrev.com/software/Metro_b1. pro
- 2. Metro where every wagon has its own opinion (Beta 2), a computer program, 10 December
2015, http://www.dobrev.com/software/Metro_b2. pro
- 3. Metro where every wagon has its own opinion (Beta 3), a computer program, 18 January
2016, http://www.dobrev.com/software/Metro_b3. pro
- 4. Metro where every wagon has its own opinion (Beta 4), a computer program, 26 March
2016, http://www.dobrev.com/software/Metro_b4. pro
- 5. Metro where every wagon has its own opinion (Beta 5), a computer program, 5 April
2016, http://www.dobrev.com/software/Metro_b5. pro