Heterogeneous Tramp Ship Scheduling and Speed Optimization with Fuzzy Time Window

doi:10.16183/j.cnki.jsjtu.2019.215

Abstract

Abstract:

In order to improve the cargo owner’s satisfaction and obtain better economic benefits for shipping companies, the ship deployment along routes and speed optimization of tramp ships are studied, considering the influencing factors of ship scheduling with the configuration and speed of self-owned ships and chartered ships. A goal is developed by minimizing sailing cost, fuel, and waiting cost at ports, penalty cost for late arrival at ports, time cost, and voyage ship chartering cost by applying fuzzy time window to characterize the cargo owner’s satisfaction. The model of scheduling and speed optimization with fuzzy time window for heterogeneous tramp ships is established. A variable neighborhood genetic simulated annealing (VNGSA) algorithm is presented to solve the problem. First, the ship type is matched with the cargo. Then the route is generated according to the time constraint. Finally, the neighborhood search strategy is adopted to improve the solution quality. Computational results indicate that integrated planning for ship scheduling and speed can reduce sailing cost; considering time requirement of cargo owners can increase their satisfaction. This paper can enrich tramp ship routing and speed optimization problems and provide a theoretical tool for shipping companies to make related decisions.

Key words: tramp ship, speed optimization, ship schedule, fuzzy time window

CLC Number:

U692

FAN Houming, YU Jiaqi, MA Mengzhi, JIANG Xiaodan, CI Jili, ZHAI Zhiwei. Heterogeneous Tramp Ship Scheduling and Speed Optimization with Fuzzy Time Window[J]. Journal of Shanghai Jiao Tong University, 2021, 55(3): 297-310.

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编号	最大载重量/t	初始位置	压载速度/kn		满载速度/kn		已航行时间/h
编号	最大载重量/t	初始位置	下限	上限	下限	上限	已航行时间/h
1	13 200	HAMBURG	11	16	11	15.5	80
2	16 500	MONTOIR DE BRETAGNE	12	17	12	16.5	116
3	24 000	VIGO	10	15	10	14.5	0
4	33 200	DUNKIRK	11.5	15.5	11.5	15	34
5	5 800	LA PALLICE	11.5	16	11.5	15.5	0
6	2 950	LA PALLICE	11	15.5	11	15	0
7	3 570	KLAIPEDA	11	15	11	14.5	0

编号	与货物不相适船舶	装货港	卸货港	装货港时间窗/h		卸货港时间窗/h		租船运输成本/美元
编号	与货物不相适船舶	装货港	卸货港	下限	上限	下限	上限	租船运输成本/美元
1	—	GDANSK	RAVENNA	364	436	364	1 017	464 619
2	—	CADIZ	VADO LIGURE	1 096	1 168	1 096	1 592	527 063
3	—	GDANSK	KLAIPEDA	891	963	891	1 292	345 828
4	—	ANTWERP	BRAKE	106	178	106	567	657 530
5	—	ANCONA	CADIZ	258	330	258	784	584 277
6	2，3	ALGECIRAS	ANCONA	72	144	72	572	416 260
7	—	TILBURY	ANTWERP	639	711	639	1 002	679 111
8	—	DUNKIRK	THISVI	1 454	1 526	1 454	2 060	938 250
9	—	VIGO	VADO LIGURE	852	924	852	1 344	552 843
10	—	TALLINN	MO I RANA	1 068	1 140	1 068	1 578	382 307
11	—	ZEEBRUGGE	LIVERPOOL	604	676	604	1 077	223 256
12	—	SINES	MO I RANA	535	607	535	1 038	513 859
13	—	GENOA	GDANSK	490	562	490	1 092	348 556
14	—	BILBAO	LA SPEZIA	932	1 004	932	1 446	299 760
15	2，3，4，5，6，7	GDANSK	TEESPORT	0	72	0	422	664 773
16	—	TEESPORT	HAMBURG	193	265	193	639	179 337
17	2，3	HUELVA	VADO LIGURE	52	124	52	574	653 627
18	—	HUELVA	THISVI	310	382	310	841	294 556
19	2，3，5	VIGO	THISVI	18	90	18	549	680 437
20	—	LAS PALMAS	MO I RANA	996	1 068	996	1 583	304 174
21	2，3，4，5，6，7	GDANSK	THISVI	0	72	0	637	998 137
22	—	CADIZ	KLAIPEDA	1 155	1 227	1 155	1 694	724 428
23	—	VLISSINGEN	DUNKIRK	386	458	386	780	179 492
24	—	CARTAGENA	VADO LIGURE	420	492	420	863	200 682
25	—	GDANSK	ROTTERDAM	322	394	322	834	512 956
26	—	GDANSK	ANCONA	880	952	880	1 496	584 238
27	—	ALGECIRAS	VADO LIGURE	391	463	391	839	256 818
28	—	ORESUND	LISBON	678	750	678	1 196	780 380
29	—	HUELVA	LA SPEZIA	892	964	892	1 369	606 120
30	—	MO I RANA	SINES	520	592	520	1 091	609 947

编号	装货港	卸货港	装货港时间窗/h		卸货港时间窗/h		租船运输成本/美元
编号	装货港	卸货港	下限	上限	下限	上限	租船运输成本/美元
1	SINES	MONTOIR DE BRETAGNE	289	361	289	722	316 519
2	TALLINN	ANTWERP	0	100	0	459	390 143
3	ZEEBRUGGE	CARTAGENA	36	108	36	527	414 361

算例	η_best	GA		VNGSA
算例	η_best	Z	ε/%	Z	ε/%
C8_V3_1	1 391 997	1 391 997	0.00	1 391 997	0.00
C8_V3_2	1 246 273	1 246 273	0.00	1 246 273	0.00
C8_V3_3	1 698 102	1 698 102	0.00	1 698 102	0.00
C8_V3_4	1 777 637	1 777 637	0.00	1 777 637	0.00
C8_V3_5	1 636 788	1 636 788	0.00	1 636 788	0.00
C16_V6_1	3 577 005	3 642 887	1.84	3 577 005	0.00
C16_V6_2	3 560 203	3 560 203	0.00	3 560 203	0.00
C16_V6_3	4 081 013	4 081 013	0.00	4 081 013	0.00
C16_V6_4	3 667 080	3 718 542	1.40	3 667 080	0.00
C16_V6_5	3 438 493	3 476 347	1.10	3 438 493	0.00
C35_V13_1	2 986 667	3 531 066	18.23	3 252 532	8.90
C35_V13_2	3 002 974	3 147 092	4.80	3 002 974	0.00
C35_V13_3	3 084 339	3 226 146	4.60	3 149 614	2.12
C35_V13_4	3 952 461	4 202 921	6.34	4 093 356	3.56
C35_V13_5	3 293 086	3 507 983	6.53	3 370 315	2.35
ε_ave	—	—	2.99	—	1.13

船号	船舶运输货物编号	航段采用速度/kn
1	21-13	[13.4，11.3]，[13.1，11.6]
2	4-1-9	[16.5，15.0]，[15.8，15.9]，[12.6，12.5]
3	16-24-29-2	[12.7，11.5]，[11.2，12.4]，[14.4，10.4], [11.7，10.6]
4	19-5-12-10	[14.7，12.6]，[15.3，14.1]，[15.4，11.9]，[13.0，13.9]
5	25-23-30-3-26	[13.6，11.6]，[15.3，12.4]，[12.8，13.4]，[12.3，13.8]，[15.1，13.3]
6	6-28-20-8	[12.2，11.3]，[14.9，13.0]，[13.7，11.3]，[14.9，12.0]
7	17-27-7-11-14-22	[13.3，13.3]，[12.3，14.4]，[11.2，13.6]，[13.5，11.5]，[12.5，12.6], [12.4，11.3]
租船	15-18	—
总成本/美元		4 735 125