ESTABLISHING MANEUVER WORK INDICATORS IN THE PICK-UP TRAINS
FORMING PROCESS USING THE SIMULTANEOUS METHOD
I.Belošević, M.Ivić, M.Marković, S.Vesković, N.Pavlović, S.Milinković, M.KosijerUniversity of Belgrade, Serbia
19th International Symposium
EURO –ŽEL 2011
‘’Recent challenges for European railways’’
8th – 9 th June Žilina,Slovak Republic
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
TECHNICAL FREIGHT YARD
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
TECHNICAL FREIGHT YARD
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
TRAIN
INTERMEDIATE STATION
B C D
TECHNICAL FREIGHT YARD
What are pick - up trains?
• Serve on line sections between two technical freight yards on the principle “leave, pick-up or exchange” wagons in intermediate stations
• Technical freight yards prepare compositions in order to minimaze shunting work in intermediate stations
TECHNICAL FREIGHT YARD
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Principal of Simultaneous method
Marshalling Yard
RECEIVING YARD CLASSIFICATION YARD
CLASSIFICATION YARD7 1 6 2
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
Gravity shunting
CLASSIFICATION YARD3 7 1
6
2
Gravity shunting
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
CLASSIFICATION YARD8 9
3
7
1 6 2
lok.
Gravity shunting
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
CLASSIFICATION YARD
8
9
3 7 1
6 2
lok.
Gravity shunting
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
CLASSIFICATION YARD1 4 8 7
9 3 7 1
6 2
8Gravity shunting
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
6 5 3
1
4
7
lok.
8
9 3 7 1
6 2
8Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
6
53
1
lok.
4
8
9 3 7 1
6 2
8
7
Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
4
9 3 7 15 3 1 7
6 6 2
8 8Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
CLASSIFICATION YARD
4
9 3 7 15 3 1 7
6 6 2
8 8
7 2 4 1
Gravity shunting
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
CLASSIFICATION YARD
4
9 3 7 15 3 1 7
6 6 2
8 8
76 4
24
1
lok.
Gravity shunting
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
4
9 3 7 15 3 1 7
6 6 2
8 8
lok.
64
7 2
4
1
Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
9 3 7 15 3 1 7
6 6 2
8 8
7 1
6 2
4 4 4
Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
9 3 7 15 3 1 7
6 6 2
8 8
7 1
6 2
4 4 4
5 8 5 3 2
Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
9 3 7 15 3 1 7
6 6 2
8 8
7 1
6 2
4 4 4
5 8
53
2
lok.
Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
9 3 7 15 3 1 7
6 6 2
8 8
7 1
6 2
4 4 4
lok.
5
8
5 3
2
Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
9 3 7 15 3 1 7
6 6 2
7 1
4 4 4
lok.
5 5 3
2 6 2
8 8 8Gravity shunting
CLASSIFICATION YARD
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
32
CLASSIFICATION YARD
9 3 7 15 3 1 7
6 6 2
7 1
4 4 4
5 5 3
2 6 2
8 8 8
lok.
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
33
CLASSIFICATION YARD
9 3 7 15 3 1 7
6 6 2
7 1
4 4 4
5 5 3
2 6 2
8 8 8
lok.
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
34
CLASSIFICATION YARD
9 3 7 15 3 1 7
6 6 2
1
4 4 4
2 6 2
8 8 8
75 5 3lok.
Shunting onto the hump
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
35
CLASSIFICATION YARD
9 3 7 15 3 1 7
6 6 2
4 4 4
2 6 2
8 8 8
71
55
3
lok.
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump
- The First Phase -
36
CLASSIFICATION YARD
93
71
53
17
6 6 2
4 4 4
2 6 2
8 8 8
7 15 5 3
Shunting onto the hump
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
37
CLASSIFICATION YARD
6 6 2
4 4 4
2 6 2
8 8 8
9 3 7 1
Shunting onto the hump
1st, 3rd, 5th, 7th, 9th
2nd, 6th
4th
8th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The First Phase -
38
CLASSIFICATION YARD
4 4 4
8 8 8
5 3 1 7
37
9
1
6 6 22 6 2 2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The Second Phase -
Gravity shunting
39
CLASSIFICATION YARD
4 4 4
8 8 8
1
53
1
1
75 5 3lok.
7 3 7
9
6 6 22 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting
2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
40
CLASSIFICATION YARD
4 4 4
8 8 8
7
5 5 5
3 7 3
1
1
1
lok.
9
3 7 6 6 22 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting
2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
41
CLASSIFICATION YARD
4 4 4
8 8 89
lok.
5 5 5
3 7 3 7 3 7 6 6 22 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station 2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
1
1
1
42
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
lok.
3 7 3 7 3 7 6 6 22 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station 2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
1
1
1
43
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5lok.
3 7 3 7 3 7 6 6 22 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station 2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
1
1
1
44
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
lok. 3 7 3 7 3 7 6 6 22 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump
2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
1
1
1
45
CLASSIFICATION YARD
4 4 4
8 8 8
6 6 22 6 27
9
3 7
5 5 5
lok.
37
3
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump
2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
1
1
1
46
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
66
2
26
2
7 3 77 3
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump
2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
1
1
1
47
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
6 6 2
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station 2nd, 6th, 3rd, 7th
4th, 5th
8th, 9th
- The Second Phase -
Shunting onto the hump
1
1
1
48
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
2
66
2 6 2
8th, 9th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The Third Phase -
4th, 5th , 6th , 7th
Gravity shunting
1
1
1
49
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
6
6 6
2
22
7 3 7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Gravity shunting
1
1
1
50
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
3
6 6 6
7
3 7 3lok.
7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Gravity shunting
1
1
1
2
2
2
51
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 56 6 6
3
3
lok.
7 7 7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Gravity shunting
1
1
1
2
2
23
52
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 56 6 6
lok.
7 7 7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
1
1
1
2
2
2
3
3
3
53
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 56 6 67 7 7
lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
1
1
1
2
2
2
3
3
3
54
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 56 6 67 7 7lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
1
1
1
2
2
2
3
3
3
55
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 56 6 6lok. 7 7 7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Shunting onto the hump
1
1
1
2
2
2
3
3
3
56
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 56 6 6
lok.
77
7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Shunting onto the hump
1
1
1
2
2
2
3
3
3
57
CLASSIFICATION YARD
4 4 4
8 8 89
5 5 5
66
6
lok. 7 7 7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Shunting onto the hump
1
1
1
2
2
2
3
3
3
58
CLASSIFICATION YARD44
4 8 8 89
5 5 56
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Shunting onto the hump
1
1
1
2
2
2
3
3
3
59
CLASSIFICATION YARD
8 8 89
4 4 4
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Third Phase -
4th, 5th , 6th , 7th
Shunting onto the hump
1
1
1
2
2
2
3
3
3
60
CLASSIFICATION YARD
8 8 89
4
4
4
5 5 5
8th, 9th
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The Forth Phase -
Gravity shunting
1
1
1
2
2
2
3
3
3
61
CLASSIFICATION YARD
8 8 89
5
5
5
6 6 6
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting 8th, 9th
- The Forth Phase -
1
1
1
2
2
2
3
3
3
4
4
4
62
CLASSIFICATION YARD
8 8 89
6
6
6
7 7 7
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting 8th, 9th
- The Forth Phase -
5
5
5
1
1
1
2
2
2
3
3
3
4
4
4
63
CLASSIFICATION YARD
8 8 89
7
7
7
lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting 8th, 9th
- The Forth Phase -
5
5
5
6
6
6
1
1
1
2
2
2
3
3
3
4
4
4
64
CLASSIFICATION YARD
8 8 89
lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting 8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
65
CLASSIFICATION YARD
8 8 89
lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
66
CLASSIFICATION YARD
8 8 89lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
67
CLASSIFICATION YARD
8 8 89lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
68
CLASSIFICATION YARD
8 8 89lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
8th, 9th
- The Forth Phase -
Shunting onto the hump
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
69
CLASSIFICATION YARD
8 8 89lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump 8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
70
CLASSIFICATION YARD
8 8 8
9lok.
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump 8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
71
CLASSIFICATION YARD8 8 8
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Shunting onto the hump 8th, 9th
- The Forth Phase -
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
72
CLASSIFICATION YARD9lok.
8
8
8
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The Fifth Phase -
Gravity shunting
5
5
5
6
6
6
7
7
7
1
1
1
2
2
2
3
3
3
4
4
4
73
CLASSIFICATION YARDlok.
9
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
Gravity shunting
- The Fifth Phase -
5
5
5
6
6
6
7
7
7
8
8
8
1
1
1
2
2
2
3
3
3
4
4
4
74
CLASSIFICATION YARD
5
5
5
6
6
6
lok.
7
7
7
8
8
8
9
Sorting tracks for final forming of trains
Sorting tracks for wagons accumulation by intermediate station
- The Fifth Phase -
1
1
1
2
2
2
3
3
3
4
4
4
Short description of Simultaneous method
• Advantages – Forming more then one trains at the same time– Faster forming process with minimal shunting
• Disadvantages– Requires appropriate adjustment of the timetable and
more qualified shunting staff– Begins at the moment when the sufficient number of
wagons is gathered for all trains
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
• The relationship between – the number of intermediate stations (m) and – required number of sorting tracks (k) ( for accumulation
without additional sorting)
where
12max km
2log
)1log( ;1
2log
)1log(
2log
)1log( ;
2log
)1log(
maxmax
maxmax
N
mm
Nmm
kstvstv
stvstv
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Mathematical description
Track number in-line (ki)
Intermediate station numbers in-line for all the sections for which pick-up trains
are formed (mis)
General rule for wagon accumulation by intermediate stations
1 2 3 4 5
1 3 5 7 9 11 13 15 17... 2 6 10 14 18 ... 4 12 ... 8 ... 16 ...
m1,s = 20+ 2*(j-1) m2,s = 21+ 4*(j-1) m3,s = 22+ 8*(j-1) m4,s = 23+ 16*(j-1) m5,s = 24+ 32*(j-1)
i = 1, ..., k j = 1, ..., N
s = 1, ..., stvmmax
ki 12 ik ... mi,s = 2i-1(1+ 2*(j-1)) mi,s stvmmax
General rule for wagon’s accumulation
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Input parameters:•5 tracks for accumulation process•5 tracks for forming process•30; 35; 40; 45 and 50 wagons per train•5; 7; 9; 10; 13 and 16 intermediate stations
Data from the analysis of technology and train operations of Belgrade marshaling yard
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Example: Case of Belgrade marshaling yard
Formation process– Uniform lengths
40 wagons per train
0 50 100 150 200
5
6
7
9
10
13
14
16
stat
ions
wagons
track 5
track 4
track 3
track 2
track 1
Accumulation process– Different lengths– Unacceptable from the point of
exploitation and construction
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Simulation results
Trac
k le
ngth
s
in function of number of wagons per train
0.00
50.00
100.00
150.00
200.00
250.00
30 35 40 45 50wagons per train
Tfor
5
6
7
9
10
13
14
16
stat
ions
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Simulation results
Dur
ation
of t
rain
s fo
rmati
on
in function of number of stations and number of wagons per train
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Simulation results
Wag
ons
hand
ling
perf
orm
ance
30
40
50
56
79
10131416
0
100
200
300
400
500
600
WH
P
wagons per trainstations
in function of number of stations and number of wagons per train
INTRODUCTION PROBLEM STATEMENT
SIMULATION MODEL
CONCLUSIONS
Simulation results
Num
ber o
f dis
plac
emen
ts
(cou
plin
g an
d un
coup
ling)
30
40
50
567910131416
0
50
100
150
200
250
300
350
TND
stations
wagons per train