Schedule Analysis and Optimization for Dinky Service

Appendix 2: Waiting time of express trains

Express train from NY to Trenton			Express train from Trenton to NY
NEC	Wait Time		NEC	Wait Time
Arrive PJCT (fr NY/New Brnwk)	For next Dinky: fr NY to Princeton	Fr Previous Dinky To Trenton	Arrival PJCT (Fr Trenton )	For next Dinky: fr Trenton to Princeton	Fr Previous Dinky To NY/New Brnwk
9:02	7	4	4:45	5
9:48	16	24	5:10	2	5
9:57	7	0	5:19	20	14
15:55	5	6	5:37	2	7
16:39	8	21	6:05	4	5
17:07	9	25	6:15	27	15
17:52	5	5	6:39	3	9
18:10	9	23	7:01	6	4
18:27	14	13	7:14	13	17
18:36	5	0	7:27	0	5
18:48	15	12	7:42	15	20
18:56	7	0	8:02	28	10
19:13	10	17	8:23	7	6
19:38	6	20	8:41	28	24
19:57	18	18	9:04	5	6
20:07	8	6	9:29	3	5
20:35	5	5	10:03	1	6
21:08	7	11	14:58	30	8
21:42	3	45	15:55	5	6
22:15	5	15	16:40	7	22
22:47	5	7	17:00	16	18
23:23	5	13	18:29	12	15
23:48	18	38

Appendix 3: Waiting time for local trains

Local train from NY to Trenton			Local train from Trenton to NY
NEC	Wait Time		NEC	Wait Time
Arrive PJCT(fr NY/New Brnwk)	For next Dinky: fr NY to Princeton	Fr Previous Dinky To Trenton	Arrival PJCT (Fr Trenton )	For next Dinky: fr Trenton to Princeton	Fr Previous Dinky To NY/New Brnwk (G-best B)
5:32	7	2	6:27	15	27
6:03	6	3	7:32	25	10
6:39	3	9	8:12	18	20
7:12	15	15	9:17	15	19
7:36	21	14	10:29	35	7
8:24	6	7	11:07	20	45
9:25	7	1	11:30	30	10
9:39	25	15	12:05	22	10
10:23	41	1	12:32	27	10
10:51	13	29	13:01	25	10
11:20	7	0	13:28	34	9
11:46	14	26	14:03	23	11
12:17	10	22	14:27	29	6
12:51	8	0	15:31	29	8
13:19	7	0	16:16	9	27
13:52	10	0	16:47	0	5
14:17	9	25	17:16	0	6
14:51	5	1	18:02	17	15
15:21	7	31	18:51	12	15
16:20	5	2	19:21	2	3
16:58	18	16	19:58	17	19
17:43	14	33	20:45	30	15
20:58	17	1	21:22	23	25
21:26	19	29	22:04	16	4
0:27	5	6	23:16	12	6
1:12	5	9	0:01	5	6
			1:12	5	9

Appendix 4: Delay of trains from New Brunswick

Day	Orig: NB	Dest: PJct	Designed arrival time:	Delay:	Wait time for next Dinky:(min)	Wait time from previous Dinky:(min)
1	10:10:05	10:23:32	10:23	0.53	41.53	1.53
1	11:09:31	11:25:06	11:20	5.10	12.10	5.10
1	12:03:04	12:16:55	12:17	-0.08	9.92	21.92
1	13:08:35	13:22:05	13:19	3.08	10.08	3.08
1	14:10:05	14:23:32	14:17	6.53	15.53	31.53
1	15:14:31	15:29:33	15:21	8.55	15.55	39.55
2	11:07:08	11:21:59	11:20	1.98	8.98	1.98
2	12:03:24	12:17:28	12:17	0.47	10.47	22.47
2	13:11:04	13:25:25	13:19	6.42	13.42	6.42
2	14:03:33	14:17:48	14:17	0.80	9.80	25.80
2	15:13:15	15:26:57	15:21	5.95	12.95	36.95
2	16:07:59	16:22:45	16:20	2.75	7.75	4.75
3	9:16:39	9:30:14	9:25	5.23	12.23	6.23
3	10:37:43	10:52:18	10:51	1.30	14.30	30.30
3	11:28:20	11:53:10	11:46	7.17	21.17	33.17
3	12:33:22	12:58:02	12:51	7.03	15.03	7.03
3	13:36:59	14:01:14	13:52	9.23	19.23	9.23
3	14:36:11	15:01:36	14:51	10.60	15.60	11.60
3	16:28:55	16:44:59	16:39	5.98	13.98	26.98
3	17:31:28	17:44:15	17:43	1.25	15.25	34.25
4	12:03:52	12:18:14	12:17	1.23	11.23	23.23
4	13:03:38	13:17:19	13:19	-1.68	5.32	26.32
4	13:45:19	14:02:16	13:52	10.27	20.27	10.27
4	14:35:38	14:50:51	14:51	-0.15	4.85	0.85
4	15:46:27	15:58:44	15:55	3.73	8.73	9.73
4	20:15:32	20:28:52	20:07	21.87	29.87	27.87
4	21:14:49	21:29:37	21:26	3.62	22.62	32.62
4	22:30:03	22:47:51	22:47	0.85	5.85	7.85
5	14:49:06	15:05:18	14:51	14.30	19.30	15.30
5	16:10:30	16:24:41	16:20	4.68	9.68	6.68

Appendix 5: Delay of trains from Trenton

Day	Orig: Trenton	Dest: PJct	Designed arrival time:	Delay:	Wait time for next Dinky:(min)	Wait time from previous Dinky:(min)
1	13:16:03	13:27:22	13:28	-0.63	33.37	8.37
1	14:46:25	14:57:22	14:58	-0.63	29.37	7.37
1	16:03:53	16:15:58	16:16	-0.03	8.97	26.97
1	16:48:05	17:00:08	17:00	0.13	16.13	18.13
1	17:50:07	18:03:04	18:02	1.07	18.07	16.07
2	11:54:03	12:07:31	12:05	2.52	24.52	12.52
2	12:48:18	13:01:54	13:01	0.90	25.90	10.90
2	13:54:46	14:05:37	14:03	2.62	25.62	13.62
2	15:19:17	15:30:28	15:31	-0.53	28.47	7.47
2	16:27:11	16:40:59	16:40	0.98	7.98	22.98
3	10:55:47	11:10:29	11:07	3.48	23.48	48.48
3	11:53:08	12:06:41	12:05	1.68	23.68	11.68
3	12:49:29	13:03:16	13:01	2.27	27.27	12.27
3	13:50:37	14:04:27	14:03	1.45	24.45	12.45
3	14:44:04	14:58:48	14:58	0.80	30.80	8.80
3	cancelled trains		15:31	104.98
3			15:55	80.98
3			16:16	59.98
3			16:40	35.98
3			16:47	28.98
3			17:00	15.98
3	17:04:07	17:15:59	17:16	-0.02	-0.02	5.98
4	13:51:07	14:04:06	14:03	1.10	24.10	12.10
4	14:45:20	14:57:46	14:58	-0.23	29.77	7.77
4	16:04:01	16:17:23	16:16	1.38	10.38	28.38
4	cancelled trains		16:40	100.72
4			16:47	93.72
4			17:00	80.72
4			17:16	64.72
4	17:59:34	18:20:43	18:02	18.72	35.72	33.72
4	cancelled trains		19:21	36.40
4	19:43:42	19:57:24	19:58	-0.60	16.40	18.40

Appendix 6: Travel time for trains from NB

Day	Orig: NB	Dest: PJct	Travel time:	Remark：	Travel time:(s)
1	10:10:05	10:23:32	0:13:27		807
1	11:09:31	11:25:06	0:15:35		935
1	12:03:04	12:16:55	0:13:51	Not stop at JA	831
1	13:08:35	13:22:05	0:13:30		810
1	14:10:05	14:23:32	0:13:27		807
1	15:14:31	15:29:33	0:15:02		902
2	11:07:08	11:21:59	0:14:51		891
2	12:03:24	12:17:28	0:14:04	Not stop at JA	844
2	13:11:04	13:25:25	0:14:21		861
2	14:03:33	14:17:48	0:14:15		855
2	15:13:15	15:26:57	0:13:42		822
2	16:07:59	16:22:45	0:14:46		886
3	9:16:39	9:30:14	0:13:35	Not stop at JA	815
3	10:37:43	10:52:18	0:14:35		875
3	11:28:20	11:53:10	0:24:50		1490
3	12:33:22	12:58:02	0:24:40		1480
3	13:36:59	14:01:14	0:24:15		1455
3	14:36:11	15:01:36	0:25:25		1525
3	16:28:55	16:44:59	0:16:04		964
3	17:31:28	17:44:15	0:12:47		767
4	12:03:52	12:18:14	0:14:22	Not stop at JA	862
4	13:03:38	13:17:19	0:13:41		821
4	13:45:19	14:02:16	0:16:57		1017
4	14:35:38	14:50:51	0:15:13		913
4	15:46:27	15:58:44	0:12:17	Not stop at JA	737
4	20:15:32	20:28:52	0:13:20		800
4	21:14:49	21:29:37	0:14:48		888
4	22:30:03	22:47:51	0:17:48		1068
5	14:49:06	15:05:18	0:16:12		972
5	16:10:30	16:24:41	0:14:11		851

Appendix 7: Travel time for trains from Trenton

Day	Orig: Trenton	Dest: PJct	Travel time:	Remark：	Travel time:(s)
1	13:16:03	13:27:22	0:11:19		679
1	14:46:25	14:57:22	0:10:57		657
1	16:03:53	16:15:58	0:12:05		725
1	16:48:05	17:00:08	0:12:03		723
1	17:50:07	18:03:04	0:12:57		777
2	11:54:03	12:07:31	0:13:28		808
2	12:48:18	13:01:54	0:13:36		816
2	13:54:46	14:05:37	0:10:51		651
2	15:19:17	15:30:28	0:11:11		671
2	16:27:11	16:40:59	0:13:48		828
3	10:55:47	11:10:29	0:14:42		882
3	11:53:08	12:06:41	0:13:33		813
3	12:49:29	13:03:16	0:13:47		827
3	13:50:37	14:04:27	0:13:50		830
3	14:44:04	14:58:48	0:14:44		884
3	17:02:48	17:15:53	0:13:05	several trains have been cancelled because the heavy rain	785
4	13:51:07	14:04:06	0:12:59		779
4	14:45:20	14:57:46	0:12:26		746
4	16:04:01	16:17:23	0:13:22		802
4	17:59:34	18:20:43	0:21:09	several trains have been cancelled and long travel time because of heavy rain	1269
4	19:43:42	19:57:24	0:13:42		822

Reference：

1. Deflorio, F.P.

Simulation of requests in demand responsive transport systems. 2011.

2. Xiugang LiQuadrifoglioLuca.

Feeder transit services: Choosing between fixed and demand responsive policy. 2010.

3. George H. Haines Jr.N. WolffRoger.

Alternative approaches to demand responsive scheduling algorithms . 1980.

1^The Princeton Branch-Wikipedia

http://en.wikipedia.org/wiki/Princeton_Branch

2^ Princeton's Dinky train has long history as town's key connection to mass transit

http://www.nj.com/mercer/index.ssf/2011/02/princetons_little_engine_that.html

3^ Arts and Transit Neighbourhood-Dinky

http://www.princeton.edu/artsandtransit/faq/dinky/

4^ http://www.njtransit.com/sf/sf_servlet.srv?hdnPageAction=TrainTo