Japanese Rail Transport Systems - Operating Cost Formulas
www.publictransit.us Occasional Paper
December 10, 2005
Updated and Reposted January 5, 2009
 
Leroy W. Demery, Jr. • with input by Michael D. Setty
The following is a translation of information presented online by the Ministry of Land, Infrastructure and Transport (国土交通省, kokudo-kōtsū-shō), Japan. The translation is presented for the interest of www.publictransit.us readers.
The formulas below are of interest because they take explicitly into account the “economies of scale” provided by rail transport. For example, “train operating expense” is calculated (in whole or in part) from the natural logarithm of “train density,” the number of (annual) train-km operated per km of system length. This reflects the fact that as service levels are increased, operating costs do not increase in proportion.
All monetary items are expressed in Japanese yen (JPY). The “annual average” exchange rate during the 2004 fiscal year (which, in Japan, extended from 2004 April 1 to 2005 March 31) was JPY 115 = 1 USD (¥115 per $1).
The Japanese-language source documents present “standard unit cost” formulas and results, together with “fundamental data” (independent variable quantities, e.g. x1, x2) used for calculation. However, these documents do not explain how these “fundamental data” values were derived, and no explanation could be located online. We are therefore not certain of the precise meaning of certain “x-variable” inputs, as described in the individual sections below. We believe, however, that the descriptions provided below are correct.
 
A. JR Group Passenger Railway Companies:
The six JR passenger railway companies (arranged by geographic location, from northeast to southwest):
 
JR-Hokkaidō
北海道旅客鉄道株式会社
Hokkaidō Railway Co., Ltd.
 
hokkaidō ryokyaku tetsudō kabushiki kaisha
JR-East
東日本旅客鉄道株式会社
East Japan Railway Co., Ltd.
 
higashi-nihon ryokyaku tetsudō kabushiki kaisha
JR-Central
東海旅客鉄道株式会社
Central Japan Railway Co., Ltd.
(JR Tōkai)
tōkai ryokyaku tetsudō kabushiki kaisha
 
JR-West
西日本旅客鉄道株式会社
West Japan Railway Co., Ltd.
 
nishi-nihon ryokyaku tetsudō kabushiki kaisha
JR-Shikoku
四国旅客鉄道株式会社
Shikoku Railway Co., Ltd.
 
shikoku ryokyaku tetsudō kabushiki kaisha
JR-Kyūshū
九州旅客鉄道株式会社
Kyūshū Railway Co., Ltd.
 
kyūshū ryokyaku tetsudō kabushiki kaisha
 
A1. Standard Unit Cost Formulas:
From 2005 August 1, after the JR Group passenger railway companies petitioned for fare reforms, standard unit costs were computed using the following formulas.
y=ax1+bx2+c
See “Input Data (variable quantity) Notes,” below.
(1) Railway Track Expense (線路費, senro-hi).
y = Standard unit cost (JPY 000s), per km of track.
(線路延長1キロ当たり基準単価, rosen enchō ichi <kiro> atari kijun tanka).
a = 9,788.259
b = 0.513
c = -39,527.285
x1 = Rolling Stock Density (logarithm)
(車両密度(対数), sharyō mitsudo (taisū)).
x2 = Snow Quantity (雪量, setsuryō).
(“Railway Track Expense:” Maintenance and repair of track and roadbed, and associated management expense.)
(2) Electric Circuit Expense (電路費, denro-hi).
y = Standard unit cost (JPY 000s), per km of electric “wire.”
(電線延長1キロ当たり基準単価, densen enchō ichi <kiro> atari kijun tanka).
a = 6.634
b = 31.549
c = -391.367
x1 = Electric Car Density (電車密度, densha mitsudo).
x2 = “Electric Car Line Ratio” (電車線割合, denshasen wariai).
(“Electric Circuit Expense,” which might also be translated as “Electrification Systems Expense:” Maintenance and repair of electrical systems such as electric traction and signal equipment, and associated management expense.)
(3) Rolling Stock Expense (車両費, sharyō-hi).
y = Standard unit cost, per vehicle
(車両1両当たり基準単価, sharyō ichiryō atari kijun tanka).
a = 61.770
b = 0.440
c = -2,612.162
x1 = Average km Per Vehicle
(1両当たり車両走行キロ, ichiryō atari sharyō sōkō <kiro>).
x2 = Snow Quantity (雪量, setsuryō).
(“Rolling Stock Expense:” Maintenance and repair of rolling stock, and associated management expense.)
(4) Train Operation Expense (列車運転費, ressha unten-hi).
y = Standard unit cost (JPY 000s), per km of system length (i.e. per km of route)
(営業キロ当たり基準単価, eigyō <kiro> atari kijun tanka).
a = 20.480
b = 3,951.764
c = -5,981.240
x1 = Average Passenger [-km] Per Train-km
(1列車1キロ当たり乗車人員, ichi ressha ichi <kiro> atari jōsha jin-in).
x2 = Train Density (logarithm) (列車密度 (対数), ressha mitsudo (taisū)).
(“Train Operation Expense:” Train operation and associated management expense, exclusive of traction power expense.)
(5) Station Operation Expense (駅務費, ekimu-hi).
y = Standard unit cost (JPY 000s), per station
(1駅当たり基準単価, ichi-eki atari kijun tanka).
a = 44.358
b = 59,176.435
c = -209,493.985
x1 = Average Passengers Per Station
(1駅当たり乗車人員, ichi-eki atari jōsha jin-in).
x2 = Average Travel Distance (logarithm)
(平均乗車距離(対数), heikin jōsha kyori (taisū)).
(“Station Operation [‘Station Duty’] Expense:” Station maintenance expense, and expense associated with sale of tickets, etc.)
 
A2. JR Group Passenger Railways, 2004 fiscal year
Details of Standard Unit Costs,
Standard Object Costs and Actual Object Costs:
Standard unit costs were calculated based on fundamental data for the Heisei 16 [2004] fiscal year (平成16年度, heisei rokugo nendo). Standard object costs were calculated by multiplying standard unit costs by the appropriate operating statistic for fiscal year 2004.
In addition, with reference to “standard unit cost” items: Among the various business expenses of rail transport enterprises, the five expenditure items above - Railway Track Expense, Electric Circuit Expense, Rolling Stock Expense, Train Operation Expense and Station Operation Expense - are known as “yardstick object expenses.” These basic “standard unit cost” items are not related to transport service quality, nor are they related to the overall business activities (i.e. subsidiary ventures together with rail transport operations) of these enterprises.
The average ratio of “yardstick object expenses to total “rail transport business” operating expense for the six JR companies was 44 percent.
 
A2.1) Fundamental Data (基礎データ, kiso <data>)
 
Railway Track Expense
Electric Circuit Expense
Rolling Stock Expense
Train Operation Expense
Station Operation Expense
 
x1
x2
x1
x2
x1
x2
x1
x2
x1
x2
JR-Hokkaidō
3.890
10,621
52.889
21.525
128.747
10,621
120.705
2.689
262.197
4.029
JR-East
5.158
2,497
152.071
31.143
167.234
2,497
486.140
3.532
3,450.441
3.187
JR-Central
5.696
439
276.834
25.127
296.934
439
523.490
3.889
1,229.825
5.175
JR-West
5.035
887
128.146
32.668
188.784
887
264.841
3.683
1,470.521
3.779
JR-Shikoku
4.263
4
77.810
23.163
141.181
4
73.990
3.184
191.721
3.831
JR-Kyūshū
4.643
7
89.593
27.829
159.903
7
123.142
3.439
530.684
3.728
 
A2.2) Standard Unit Costs (基準単価, kijun tanka)
Calculated using formulas and “Fundamental Data” above.
JPY, 000s
(単位:千円, tan-i: sen en)
 
Railway Track Expense
Electric Circuit Expense
Rolling Stock Expense
Train Operation Expense
Station Operation Expense
JR-Hokkaidō
3,998
639
10,014
7,117
40,558
JR-East
12,242
1,600
8,817
17,933
132,156
JR-Central
16,452
2,238
15,923
20,108
151,297
JR-West
10,212
1,489
9,439
13,997
79,363
JR-Shikoku
2,202
856
6,110
8,116
25,715
JR-Kyūshū
5,923
1,081
7,268
10,131
34,656
 
A2.3) Operating Statistics used to derive Standard Object Costs
(施設量, shisetsu-ryō, “facility quantities”)
 
Track Length,
km
Electric Circuit Length,
km
Rolling Stock Fleet Size
System Length,
km
Stations
JR-Hokkaidō
3,106.2
5,304.1
1,180
2,499.8
472
JR-East
12,698.5
45,043.5
13,197
7,526.8
1,699
JR-Central
3,326.8
13,730.4
3,334
1,974.4
406
JR-West
8,065.2
27,737.0
6,567
4,990.6
1,216
JR-Shikoku
898.4
1,754.5
452
855.2
258
JR-Kyūshū
2,663.2
9,566.8
1,730
2,121.8
554
 
A2.4) Standard Object Cost total amounts and Actual Object Cost total amounts
(基準コスト合計額及び実績コスト合計額,
(kijun <cost> gōkeigaku oyobi jisseki <cost> gōkeigaku)
“Standard Object Cost total amounts” were calculated by multiplying “Standard Unit Costs” in Table A2.2 (Railway Track Expense, Electric Circuit Expense, Rolling Stock Expense, Train Operation Expense and Station Operation Expense) by the appropriate operating statistic in Table A2.3 (Operating Statistics used to derive Standard Object Costs). Total amounts were then calculated for each company. “Actual Object Cost” total amounts are those reported by each company.
JPY, 000 000s
(単位: 百万円, tan-i: hyakuman en)
 
Standard Object Cost total amount
Actual Object Cost total amount
Percentage Difference
JR-Hokkaidō
64,559
59,867
7.3
JR-East
703,394
744,742
-5.9
JR-Central
239,676
230,077
4.0
JR-West
352,007
363,877
-3.4
JR-Shikoku
19,817
19,410
2.0
JR-Kyūshū
79,385
70,736
11.3
Note: In the table above, a positive “Percentage Difference” arises because of overestimation, and a negative “Percentage Difference” from underestimation, of “Actual Object Cost.“ For example: the estimated “Standard Object Cost total amount” for JR-Hokkaidō is 7.3 percent greater than the “Actual Object Cost total amount” reported by the company. In contrast, the estimated “Standard Object Cost total amount” for JR-East is 5.9 percent less than the “Actual Object Cost total amount” reported by the company.
B. Large (“established”) Private-Sector Railway Companies:
The Japanese term 大手民鉄 (ōte-mintetsu) refers specifically to the 15 largest private-sector railway companies.
The 15 companies (arranged by geographic location, from northeast to southwest):
Tōbu
東武鉄道株式会社
Tōbu Railway Co., Ltd.
 
tōbu tetsudō kabushiki kaisha
Seibu
西武鉄道株式会社
Seibu Railway Co., Ltd.
 
seibu tetsudō kabushiki kaisha
Keisei
京成電鉄株式会社
Keisei Electric Railway Co., Ltd.
 
keisei dentetsu kabushiki kaisha
 
Keiō
京王電鉄株式会社
Keiō Corporation
 
keiō dentetsu kabushiki kaisha
(Keiō Electric Railway Co., Ltd.)
Odakyū
小田急電鉄株式会社
Odakyū Electric Railway
 
odakyū dentetsu kabushiki kaisha
(Odakyu Electric Railway Co., Ltd.)
Tōkyū
東京急行電鉄株式会社
Tōkyū Corporation
 
tōkyū kyūkō dentetsu kabushiki kaisha
(Tōkyō Express Electric Railway Co., Ltd.)
Keikyū
京浜急行電鉄株式会社
Keihin Electric Express R’y Co., Ltd.
 
keihin kyūkō dentetsu kabushiki kaisha
 
Sōtetsu
相模鉄道株式会社
Sagami Railway Co., Ltd.
 
sagami tetsudō kabushiki kaisha
 
Meitetsu
名古屋鉄道鉄道株式会社
Nagoya Railroad Co., Ltd.
 
nagoya tetsudō kabushiki kaisha
 
Kintetsu
近畿日本鉄道株式会社
Kintetsu Corporation
 
kinki nippon tetsudō kabushiki kaisha
(Kinki Nippon Railway Co., Ltd.)
Nankai
南海電気鉄道株式会社
Nankai Electric Railway Co., Ltd.
 
nankai denki tetsudō kabushiki kaisha
 
Keihan
京阪電気鉄道株式会社
Keihan Electric Railway Co., Ltd.
 
keihan denki tetsudō kabushiki kaisha
 
Hankyū
阪急電鉄株式会社
Hankyū Corporation
 
hankyū dentetsu kabushiki kaisha
(Hankyū Electric Railway Co., Ltd.)
Hanshin
阪神電気鉄道株式会社
Hanshin Electric Railway Co., Ltd.
 
hanshin denki tetsudō kabushiki kaisha
 
Nishitetsu
西日本鉄道株式会社
Nishi-Nippon Railroad Co., Ltd.
 
nishi nippon tetsudō kabushiki kaisha
 
 
B1. Standard Unit Cost Formulas:
From 2005 August 1, after the large (“established”) private-sector railways petitioned for tariff (fare) reforms, standard unit costs were computed using the following formulas.
y=ax1+bx2+(cx3)+d
See “Input Data (variable quantity) Notes,” below.
(1) Railway Track Expense (線路費, senro-hi).
y = Standard unit cost (JPY 000s), per km of track.
(線路延長1キロ当たり基準単価, rosen enchō ichi <kiro> atari kijun tanka).
a = 143.864
b = 15,261.484
d = -79,908.789
x1 = Tunnel & Bridge Ratio (トンネル・橋梁比率, <tunnel>kyōryō hiritsu).
x2 = Rolling Stock Density (logarithm)
(車両密度(対数), sharyō mitsudo (taisū)).
(“Railway Track Expense:” Maintenance and repair of track and roadbed, and associated management expense.)
(2) Electric Circuit Expense (電路費, denro-hi).
y = Standard unit cost (JPY 000s), per km of electric “wire.”
(電線延長1キロ当たり基準単価, densen enchō ichi <kiro> atari kijun tanka).
a = 31.451
b = 1,344.118
c = 873.463
d = -8,830.199
x1 = Tunnel Ratio (トンネル比率, <tunnel> hiritsu).
x2 = Electric Car Density (電車密度, densha mitsudo).
x3 = “Electric Car Line Ratio” (電車線割合, denshasen wariai).
(“Electric Circuit Expense,” which might also be translated as “Electrification Systems Expense:” Maintenance and repair of electrical systems such as electric traction and signal equipment, and associated management expense.)
(3) Rolling Stock Expense (車両費, sharyō-hi).
y = Standard unit cost, per vehicle
(車両1両当たり基準単価, sharyō ichiryō atari kijun tanka).
a = 6,089.652
b = -436.375
d = -44,609.598
x1 = Average Pass-km Per Vehicle (logarithm)
(1両当たり輸送人キロ(対数), ichiryō atari yusō jin-<kiro> (taisū)).
x2 = Cars Per Formation (編成両数, hensei-ryōsū).
(“Rolling Stock Expense:” Maintenance and repair of rolling stock, and associated management expense.)
(4) Train Operation Expense (列車運転費, ressha unten-hi).
y = Standard unit cost (JPY 000s), per km of system length (i.e. per km of route)
(営業キロ当たり基準単価, eigyō <kiro> atari kijun tanka).
a = 20.480
b = 3,951.764
d = -5,981.240
x1 = Average Passenger [-km] Per Train-km
(1列車1キロ当たり乗車人員, ichi ressha ichi <kiro> atari jōsha jin-in).
x2 = Train Density (logarithm) (列車密度 (対数), ressha mitsudo (taisū)).
(“Train Operation Expense:” Train operation and associated management expense, exclusive of traction power expense.)
(5) Station Operation Expense (駅務費, ekimu-hi).
y = Standard unit cost (JPY 000s), per station
(1駅当たり基準単価, ichi-eki atari kijun tanka).
a = 4,007.591
b = 19.595
d = 30,557.882
x1 = Escalator & Elevator Installation Ratio
(エレベータ・エスカレータ設置比率,
<escalator><elevator> setchi hiritsu).
x2 = Average Passengers Per Station
(1駅当たり乗車人員, ichi-eki atari jōsha jin-in).
(“Station Operation [‘Station Duty’] Expense:” Station maintenance expense, and expense associated with sale of tickets, etc.)
 
B2. Large (“established”) Private-Sector Railways, 2004 fiscal year
Details of Standard Unit Costs,
Standard Object Costs and Actual Object Costs:
Standard unit costs were calculated based on fundamental data for the Heisei 16 [2004] fiscal year (平成16年度, heisei rokugo nendo). Standard object costs were calculated by multiplying standard unit costs by the appropriate operating statistic for fiscal year 2004.
In addition, with reference to “standard unit cost” items: Among the various business expenses of rail transport enterprises, the five expenditure items above - Railway Track Expense, Electric Circuit Expense, Rolling Stock Expense, Train Operation Expense and Station Operation Expense - are known as “yardstick object expenses.” These basic “standard unit cost” items are not related to transport service quality, nor are they related to the overall business activities (i.e. subsidiary ventures together with rail transport operations) of these enterprises.
The average ratio of “yardstick object expenses to total “rail transport business” operating expense for the 15 companies was 55 percent.
 
B2.1) Fundamental Data (基礎データ, kiso <data>)
 
Railway Track Expense
Electric Circuit Expense
Rolling Stock Expense
Train Operation Expense
Station Operation Expense
 
x1
x2
x1
x2
x3
x1
x2
x1
x2
x1
x2
Tōbu
13.544
5.744
0.127
5.381
3.253
8.795
7.031
336.843
4.397
1.594
4,230.089
Seibu
13.142
6.236
3.945
5.640
2.955
8.828
8.179
428.499
4.757
2.857
6,622.527
Keisei
22.539
5.975
5.573
5.707
3.048
8.813
6.785
290.424
4.770
1.875
3,870.969
Keiō
35.088
6.364
10.379
5.647
3.132
9.051
7.876
528.100
5.079
2.435
8,679.261
Odakyū
23.126
6.303
2.399
5.787
3.100
9.198
7.991
552.245
5.064
3.729
9,578.014
Tōkyū
37.211
6.364
15.585
5.775
2.940
9.054
7.288
573.823
5.105
2.347
10,048.153
Keikyū
33.420
6.347
12.961
6.023
2.972
9.013
7.058
424.699
5.126
2.014
5,894.194
Sōtetsu
26.647
6.419
13.016
5.658
3.383
8.732
9.640
530.929
4.917
3.280
8,997.240
Meitetsu
16.962
5.438
2.234
5.304
3.374
8.614
4.581
151.388
4.454
0.462
1,045.126
Kintetsu
17.062
5.666
5.905
5.481
2.803
8.723
5.008
199.862
4.661
1.349
1,909.306
Nankai
25.389
5.710
4.369
5.532
2.736
8.601
5.675
225.602
4.621
1.443
2,043.713
Keihan
33.494
6.081
8.620
5.949
2.687
8.649
6.485
297.619
5.093
2.554
3,563.422
Hankyū
30.703
6.336
3.222
6.132
2.546
8.795
7.584
398.506
5.039
4.165
7,120.471
Hanshin
69.907
6.015
12.849
5.753
2.810
8.572
5.095
245.581
5.126
3.024
3,885.415
Nishitetsu
11.299
5.412
0.000
5.323
2.984
8.492
4.474
179.954
4.404
1.182
1,351.636
 
B2.2) Standard Unit Costs (基準単価, kijun tanka)
Calculated using formulas and “Fundamental Data” above.
JPY, 000s
(単位:千円, tan-i: sen en)
 
Railway Track Expense
Electric Circuit Expense
Rolling Stock Expense
Train Operation Expense
Station Operation Expense
Tōbu
9,702
1,248
5,881
39,653
119,835
Seibu
17,152
1,456
5,581
73,842
171,776
Keisei
14,521
1,678
6,098
59,445
113,924
Keiō
22,263
1,822
7,071
106,370
210,386
Odakyū
19,611
1,731
7,916
108,037
233,183
Tōkyū
22,569
1,990
7,346
113,162
236,857
Keikyū
21,764
2,269
7,197
98,078
154,126
Sōtetsu
21,888
2,139
4,359
95,857
220,004
Meitetsu
5,523
1,316
5,848
22,959
52,889
Kintetsu
9,017
1,171
6,325
42,150
73,377
Nankai
10,887
1,133
5,291
42,322
76,387
Keihan
17,715
1,784
5,230
81,824
110,619
Hankyū
21,205
1,737
5,639
89,369
186,775
Hanshin
21,946
1,761
5,368
78,276
118,812
Nishitetsu
4,312
931
5,151
22,776
61,780
 
B2.3) Operating Statistics used to derive Standard Object Costs
(施設量, shisetsu-ryō, “facility quantities”)
 
Track Length,
km
Electric Circuit Length,
km
Rolling Stock Fleet Size
System Length,
km
Stations
Tōbu
846.7
4,706.2
1,918
463.3
202
Seibu
323.9
3,059.6
1,270
173.8
91
Keisei
208.2
1,292.1
522
102.4
64
Keiō
184.6
1,649.8
843
84.7
69
Odakyū
278.8
2,104.6
1,066
120.5
70
Tōkyū
207.2
1,975.2
1,107
100.1
98
Keikyū
181.1
1,282.0
758
87.0
72
Sōtetsu
77.1
560.2
420
35.9
25
Meitetsu
819.5
3,208.4
1,130
478.2
318
Kintetsu
1,045.9
7,623.8
1,962
570.4
324
Nankai
321.5
2,490.4
710
168.3
115
Keihan
211.7
1,645.3
745
87.7
83
Hankyū
291.7
2,804.1
1,311
140.8
85
Hanshin
84.0
656.9
314
40.1
41
Nishitetsu
189.2
1,047.0
350
115.9
77
 
B2.4) Standard Object Cost total amounts and Actual Object Cost total amounts
(基準コスト合計額及び実績コスト合計額,
(kijun <cost> gōkeigaku oyobi jisseki <cost> gōkeigaku)
“Standard Object Cost total amounts” were calculated by multiplying “Standard Unit Costs” in Table A2.2 (Railway Track Expense, Electric Circuit Expense, Rolling Stock Expense, Train Operation Expense and Station Operation Expense) by the appropriate operating statistic in Table A2.3 (Operating Statistics used to derive Standard Object Costs). Total amounts were then calculated for each company. “Actual Object Cost” total amounts are those reported by each company.
JPY, 000 000s
(単位: 百万円, tan-i: hyakuman en)
 
Standard Object Cost total amount
Actual Object Cost total amount
Percentage Difference
Tōbu
67,946
70,298
-3.5
Seibu
45,564
44,641
2.0
Keisei
21,753
22,944
-5.5
Keiō
36,603
39,228
-7.2
Odakyū
46,890
45,278
3.4
Tōkyū
51,278
48,045
6.3
Keikyū
31,936
34,690
-8.6
Sōtetsu
13,658
14,224
-4.1
Meitetsu
43,154
40,184
6.9
Kintetsu
78,585
73,241
6.8
Nankai
25,986
27,924
-7.5
Keihan
26,939
26,612
1.2
Hankyū
46,908
43,364
7.6
Hanshin
12,696
12,192
4.0
Nishitetsu
10,990
10,754
2.1
C. Metro (subway) Systems:
Japan’s ten metro operators include Tōkyō Metro, the (quasi-)private-sector successor to the Teito Rapid Transit Authority (“Eidan”), and nine municipal operators. These are:
Tōkyō Metro
東京地下鉄株式会社
Tōkyō Metro Co., Ltd.
 
tōkyō chikatetsu kabushiki kaisha
Sapporo
札幌市交通局
Sapporo City Transportation Bureau
 
sapporo-shi kōtsū-kyoku
Sendai
仙台市交通局
Sendai City Transportation Bureau
 
sendai-shi kōtsū-kyoku
 
Tōkyō - Toei
東京都交通局
Bureau of Transportation,
Tōkyō Metropolitan Government
 
tōkyō-to kōtsū-kyoku
 
Yokohama
横浜市交通局
Transportation Bureau,
City of Yokohama
 
yokohama-shi kōtsū-kyoku
 
Nagoya
名古屋市交通局
Transportation Bureau, City of Nagoya
 
nagoya-shi kōtsū-kyoku
 
Kyōto
京都市交通局
Kyōto Municipal
Transportation Bureau
 
kyōto-shi kōtsū-kyoku
 
Ōsaka
大阪市交通局
Ōsaka Municipal
Transportation Bureau
 
ōsaka-shi kōtsū-kyoku
 
Kōbe
神戸市交通局
Kōbe Municipal Transportation Bureau
 
kōbe-shi kōtsū-kyoku
 
Fukuoka
福岡市交通局
Fukuoka City Transportation Bureau
 
fukuoka-shi kōtsū-kyoku
 
 
C1. Standard Unit Cost Formulas:
From 2005 August 1, after the metro systems petitioned for tariff (fare) reforms, standard unit costs were computed using the following formulas.
y=ax1+(bx2)+c
See “Input Data (variable quantity) Notes,” below.
(1) Railway Track Expense (線路費, senro-hi).
y = Standard unit cost (JPY 000s), per km of track.
(線路延長1キロ当たり基準単価, rosen enchō ichi <kiro> atari kijun tanka).
a = 18,229.651
 
c = -79,041.523
x1 = Rolling Stock Density (logarithm)
(車両密度(対数), sharyō mitsudo (taisū)).
(“Railway Track Expense:” Maintenance and repair of track and roadbed, and associated management expense.)
(2) Electric Circuit Expense (電路費, denro-hi).
y = Standard unit cost (JPY 000s), per km of electric “wire.”
(電線延長1キロ当たり基準単価, densen enchō ichi <kiro> atari kijun tanka).
a = 7.295
b = 86.134
c = -449.093
x1 = Electric Car Density (電車密度, densha mitsudo).
x2 = “Electric Car Line Ratio” (電車線割合, denshasen wariai).
(“Electric Circuit Expense,” which might also be translated as “Electrification Systems Expense:” Maintenance and repair of electrical systems such as electric traction and signal equipment, and associated management expense.)
(3) Rolling Stock Expense (車両費, sharyō-hi).
y = Standard unit cost, per vehicle
(車両1両当たり基準単価, sharyō ichiryō atari kijun tanka).
a = 7.217
 
c = -2,168.121
x1 = Average Passengers Per Vehicle
(1両当たり輸送人員, ichiryō atari yusō jin-in).
(“Rolling Stock Expense:” Maintenance and repair of rolling stock, and associated management expense.)
(4) Train Operation Expense (列車運転費, ressha unten-hi).
y = Standard unit cost (JPY 000s), per km of system length (i.e. per km of route)
(営業キロ当たり基準単価, eigyō <kiro> atari kijun tanka).
a = -215.596
b = 200,489.009
c = -876,618.280
x1 = Driver-Only Operating Ratio
(ワンマン運転営業キロ割合, <one man> unten eigyō <kiro> wariai).
x2 = Train Density (logarithm) (列車密度 (対数), ressha mitsudo (taisū)).
(“Train Operation Expense:” Train operation and associated management expense, exclusive of traction power expense.)
(5) Station Operation Expense (駅務費, ekimu-hi).
y = Standard unit cost (JPY 000s), per station
(1駅当たり基準単価, ichi-eki atari kijun tanka).
a = 165,950.995
 
c = -1,219,820.332
x1 = Average Passengers Per Station (logarithm)
(1駅当たり乗車人員 (対数), ichi-eki atari jōsha jin-in (taisū)).
(“Station Operation [‘Station Duty’] Expense:” Station maintenance expense, and expense associated with sale of tickets, etc.)
 
C2. Metro (subway) Systems, 2004 fiscal year
Details of Standard Unit Costs,
Standard Object Costs and Actual Object Costs:
Standard unit costs were calculated based on fundamental data for the Heisei 16 [2004] fiscal year (平成16年度, heisei rokugo nendo). Standard object costs were calculated by multiplying standard unit costs by the appropriate operating statistic for fiscal year 2004.
In addition, with reference to “standard unit cost” items: Among the various business expenses of rail transport enterprises, the five expenditure items above - Railway Track Expense, Electric Circuit Expense, Rolling Stock Expense, Train Operation Expense and Station Operation Expense - are known as “yardstick object expenses.” These basic “standard unit cost” items are not related to transport service quality, nor are they related to the overall business activities (i.e. subsidiary ventures together with rail transport operations) of these enterprises.
The average ratio of “yardstick object expenses to total “rail transport business” operating expense for the ten metro systems was 52 percent.
 
A2.1) Fundamental Data (基礎データ, kiso <data>)
 
Railway Track Expense
Electric Circuit Expense
Rolling Stock Expense
Train Operation Expense
Station Operation Expense
 
x1
x1
x2
x1
x1
x2
x1
Tōkyō Metro
6.469
466.886
19.344
825.367
12.773
5.128
9.422
Sapporo
5.899
300.842
16.899
516.199
0.000
4.803
8.336
Sendai
5.458
163.957
23.923
651.369
100.000
4.761
8.077
Tōkyō-Toei
6.207
365.197
18.616
677.839
61.651
4.924
8.853
Yokohama
5.774
289.117
14.763
719.066
0.000
4.683
8.542
Nagoya
5.942
306.632
24.185
531.065
18.213
4.891
8.349
Kyōto
5.758
249.831
20.657
540.162
49.632
4.715
8.272
Ōsaka
6.117
373.480
14.742
693.682
12.976
4.925
8.923
Kōbe
5.734
218.337
15.566
503.423
25.817
4.708
8.301
Fukuoka
5.778
141.673
28.938
676.981
100.000
4.807
8.426
 
C2.2) Standard Unit Costs (基準単価, kijun tanka)
Calculated using formulas and “Fundamental Data” above.
JPY, 000s
(単位:千円, tan-i: sen en)
 
Railway Track Expense
Electric Circuit Expense
Rolling Stock Expense
Train Operation Expense
Station Operation Expense
Tōkyō Metro
38,886
4,623
8,125
148,736
343,770
Sapporo
28,495
3,201
5,894
86,330
163,547
Sendai
20,456
2,808
6,869
56,350
120,566
Tōkyō-Toei
34,110
3,818
7,060
97,298
249,344
Yokohama
26,216
2,932
7,358
62,272
197,733
Nagoya
29,279
3,871
6,001
100,047
165,705
Kyōto
25,925
3,153
6,066
57,987
152,926
Ōsaka
32,469
3,545
7,174
107,993
260,960
Kōbe
25,487
2,484
5,801
61,718
157,739
Fukuoka
26,289
3,077
7,054
65,573
178,483
 
C2.3) Operating Statistics used to derive Standard Object Costs
(施設量, shisetsu-ryō, “facility quantities”)
 
Track Length,
km
Electric Circuit Length,