Abstract
Among the spectrum of logistics-based measures for green maritime transportation, this chapter focuses on speed optimization. This involves the selection of an appropriate speed by the vessel, so as to optimize a certain objective. As ship speed is not fixed, depressed shipping markets and/or high fuel prices induce slow steaming which is being practised in many sectors of the shipping industry. In recent years the environmental dimension of slow steaming has also become important, as ship emissions are directly proportional to fuel burned. Win-win solutions are sought, but they will not necessarily be possible. The chapter presents some basics, discusses the main trade-offs and also examines combined speed and route optimization problems. Some examples are finally presented so as to highlight the main issues that are at play.
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Notes
- 1.
The 18,000 TEU yardstick as the world’s largest containership size was fated to be surpassed. As this chapter was being completed, the baton was being held by the 19,224 TEU MSC Oscar, of the Mediterranean Shipping Company (MSC).
- 2.
This is 24 times the ship speed in knots. We use this unit to avoid carrying the number 24 through the calculations. One knot is one nautical mile per hour (1.852 km per hour) and is the typical unit of ship speed.
- 3.
WS is a nondimensional index measuring the spot rate and is exclusively used in the tanker market. For a specific route, WS is proportional to the spot rate on that route (in $/tonne) and is normalized by the ‘base rate’ on that route. See Stopford (2009) for a detailed definition.
- 4.
The assumption that F is independent of charter duration is valid if the charter duration is within a reasonably narrow range. For large variations of time charter duration (e.g. a few months versus a multi-year charter), we expect that F will generally vary with charter duration.
- 5.
In terms of ship size, this corresponds roughly to a feeder containership of about 1,000 TEU capacity. It could also be a product carrier or a small bulk carrier.
- 6.
As this book was being finalized, an unprecedented decrease in oil prices was taking place. However, as charter rates fell too, a definitive statement on the effect of this development on average ship or fleet speeds was not possible.
Abbreviations
- AIS:
-
Automatic Identification System
- CEO:
-
Chief Executive Officer
- CIF:
-
Cost Insurance Freight
- CO2 :
-
Carbon dioxide
- COA:
-
Contract Of Affreightment
- DWT:
-
Deadweight Ton
- GHG:
-
Green House Gas
- GPCI:
-
Global Ports Congestion Index
- HFO:
-
Heavy Fuel Oil
- IMO:
-
International Maritime Organization
- LNG:
-
Liquefied Natural Gas
- LPG:
-
Liquefied Petroleum Gas
- MBM:
-
Market Based Measure
- MCR:
-
Maximum Continuous Rating
- MEPC:
-
Marine Environment Protection Committee
- MSC:
-
Mediterranean Shipping Company
- NTUA:
-
National Technical University of Athens
- OPEX:
-
Operating Expenses
- OR/MS:
-
Operations Research/Management Science
- Ro/Pax:
-
Ro/Ro Passenger
- Ro/Ro:
-
Roll On Roll Off
- SECA:
-
Sulphur Emissions Control Area
- SOx :
-
Sulphur oxides
- TEU:
-
Twenty ft Equivalent Unit
- VLCC:
-
Very Large Crude Carrier
- WS:
-
World Scale (index)
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Acknowledgments
Work on this chapter has been supported in part by various sources, including the Lloyd’s Register Foundation (LRF) in the context of the Centre of Excellence in Ship Total Energy-Emissions-Economy at the National Technical University of Athens (NTUA), the authors’ former affiliation. LRF helps to protect life and property by supporting engineering-related education, public engagement and the application of research. This work has also been supported in part by an internal grant at the Technical University of Denmark (DTU).
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Appendix: Taxonomy of Speed Papers, Amended from Psaraftis and Kontovas (2013)
Appendix: Taxonomy of Speed Papers, Amended from Psaraftis and Kontovas (2013)
Table has 7 parts, of 7 entries each. Two entries have two references each. Total references: 51
Taxonomy part I
Taxonomy parameter\ paper | Alderton (1981) | Alvarez (2009) | Andersson, Fagerholt, and Hobbesland (2014) | Bausch, Brown, and Ronen (1998) | Benford (1981) | Brown, Graves, and Ronen (1987) | Cariou (2011) |
---|---|---|---|---|---|---|---|
Optimization criterion | Profit | Cost | Cost | Cost | Cost | Cost | Cost |
Shipping market | General | Liner | Ro/Ro | Tanker/barge | Coal | Tanker | Container |
Decision maker | Owner | Owner | Owner | Owner | Owner | Owner | Owner |
Fuel price an explicit input | Yes | Yes | No | Yes | No | No | Yes |
Freight rate an input | Input | No | Implicit | No | No | No | No |
Fuel consumption function | Cubic | Cubic | General | Unspecified | Cubic | Unspecified | Cubic |
Optimal speeds in various legs | Yes | Yes | Yes | No | No | Only ballast | No |
Optimal speeds as function of payload | Yes | Yes | Yes | No | No | No | No |
Logistical context | Fixed route | Joint routing and fleet deployment | Fleet deployment | Routing and scheduling | Fleet deployment | Routing and scheduling | Fixed route |
Size of fleet | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships |
Add more ships an option | Yes | No | Yes | No | No | No | Yes |
Inventory costs included | Yes | No | No | No | No | No | No |
Emissions considered | No | No | No | No | No | No | Yes |
Modal split considered | No | No | No | No | No | No | No |
Ports included | Yes | Yes | No | Yes | No | No | No |
Taxonomy part II
Taxonomy parameter\ paper | Cariou and Cheaitou (2012) | Chang and Wang (2014) | Corbett, Wang, and Winebrake (2010) | Devanney (2007) | Devanney (2010) | Doudnikoff and Lacoste (2014) | Du, Chen, Quan, Long, and Fung (2011) |
---|---|---|---|---|---|---|---|
Optimization criterion | Cost | Cost | Profit | Profit | Cost or profit | Cost | Fuel consumption |
Shipping market | Container | General | Container | Tanker | Tanker (VLCC) | Liner | Container |
Decision maker | Owner | Owner | Owner | Owner | Owner or charterer | Owner | Owner |
Fuel price an explicit input | Yes | Yes | Yes | Yes | Yes | Yes | No |
Freight rate an input | No | Yes | Input | Computed | Computed | No | No |
Fuel consumption function | Cubic | Cubic | Cubic | Cubic | General | Cubic | Non-linear |
Optimal speeds in various legs | No | No | No | Yes | Yes | Yes | Yes |
Optimal speeds as function of payload | No | No | No | No | No | No | No |
Logistical context | Fixed route | Fixed route | Fixed route | World oil network | Fixed route | Fixed route in SECAs | Berth allocation |
Size of fleet | Multiple ships | One ship | Multiple ships | Multiple ships | One ship | Multiple ships | Multiple ships |
Add more ships an option | Yes | No | Yes | Yes | Yes | No | No |
Inventory costs included | Yes | No | No | Yes | Yes | No | No |
Emissions considered | Yes | No | Yes | No | No | Yes | Yes |
Modal split considered | No | No | No | No | No | No | No |
Ports included | Yes | Yes | No | Yes | No | No | No |
Taxonomy part III
Taxonomy parameter\ paper | Eefsen and Cerup-Simonsen (2010) | Faber, Freund, Köpke, and Nelissen (2010) | Fagerholt (2001) | Fagerholt, Laporte, and Norstad (2010) | Fagerholt, Gausel, Rakke, and Psaraftis (2015) | Fagerholt and Ronen (2013) | Gkonis and Psaraftis (2012) |
---|---|---|---|---|---|---|---|
Optimization criterion | Cost | N/A | Cost | Fuel consumption | Cost | Profit | Profit |
Shipping market | Container | Various | General | Liner | Ro/Ro | Tramp | Tanker, LNG, LPG |
Decision maker | Owner | N/A | Owner | Owner | Owner | Owner | Owner |
Fuel price an explicit input | Yes | No | No | No | Yes | No | Yes |
Freight rate an input | No | No | No | No | No | Implicit | Input |
Fuel consumption function | Cubic | Cubic | Cubic | Cubic | Cubic | General | General |
Optimal speeds in various legs | No | No | Yes | Yes | Yes | Yes | Yes |
Optimal speeds as function of payload | No | No | No | No | No | No | No |
Logistical context | Fixed route | Fixed route | Pickup and delivery | Fixed route | Route & speed selection in SECAs | Pickup and delivery | Fixed route |
Size of fleet | Multiple ships | Multiple ships | Multiple ships | One ship | One ship | Multiple ships | Multiple ships |
Add more ships an option | Yes | Yes | No | No | No | No | Yes |
Inventory costs included | Yes | No | No | No | No | No | Yes |
Emissions considered | Yes | Yes | No | Yes | Yes | No | Yes |
Modal split considered | No | No | No | No | No | No | No |
Ports included | Yes | No | No | No | No | No | Yes |
Taxonomy part IV
Taxonomy parameter\ paper | Hvattum et al. (2013) | Kapetanis et al. (2014) | Kontovas and Psaraftis (2011) | Lang and Veenstra (2010) | Lindstad, Asbjørnslett, and Strømman (2011) | Lo and McCord (1998) | Magirou et al. (2015) |
---|---|---|---|---|---|---|---|
Optimization criterion | Fuel consumption | Profit | Cost | Fuel costs | Pareto analysis | Fuel consumption | Profit |
Shipping market | General | Drybulk | Container | Container | All major ship types | General | General |
Decision maker | Owner | Owner | Charterer | owner | Owner | Ship’s master | Owner |
Fuel price an explicit input | No | Yes | Yes | No | Yes | No | Yes |
Freight rate an input | No | Yes | Input | No | No | No | Yes |
Fuel consumption function | Convex | General | Cubic | linearized | Cubic | Cubic | Cubic |
Optimal speeds in various legs | Yes | Yes | Yes | No | No | N/A | Yes |
Optimal speeds as function of payload | No | Yes | Yes | No | Yes | No | No |
Logistical context | Fixed route | Fixed route | Fixed route | Vessel arrival planning | Fixed route | Weather routing | Fixed route |
Size of fleet | One ship | Multiple ships | Multiple ships | Multiple ships | Multiple ships | One ship | One ship |
Add more ships an option | No | Yes | Yes | No | Yes | No | No |
Inventory costs included | No | Yes | Yes | No | Yes | No | No |
Emissions considered | Yes | Yes | Yes | No | Yes | No | No |
Modal split considered | No | No | No | No | No | No | No |
Ports included | No | Yes | Yes | Yes | Yes | No |
Taxonomy part V
Taxonomy parameter\ paper | Meng and Wang (2011) | Norlund and Gribkovskaia (2013) | Norstad et al. (2011) | Notteboom and Vernimmen (2010) | Perakis and Papadakis (1989) | Perakis (1985) | Perakis and Jaramillo (1991) |
---|---|---|---|---|---|---|---|
Optimization criterion | Cost | Cost | Cost | Cost | Cost | Cost | Cost |
Shipping market | Liner | Offshore supply vessels | Tramp | Container | Tramp | Tramp | Liner |
Decision maker | Owner | Owner | Owner | Owner | Owner | Owner | Owner |
Fuel price an explicit input | Yes | No | No | Yes | Yes | No | Yes |
Freight rate an input | No | No | No | No | No | No | Yes |
Fuel consumption function | Cubic | Cubic | Cubic | Unspecified | General | Cubic | Cubic |
Optimal speeds in various legs | No | Yes | Yes | No | Yes | No | Yes |
Optimal speeds as function of payload | No | No | No | No | No | No | No |
Logistical context | Fleet deployment | Set covering | Pickup and delivery | Fixed route | Fleet deployment | Fleet deployment | Fleet deployment |
Size of fleet | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships |
Add more ships an option | No | No | No | Yes | No | Yes | Yes |
Inventory costs included | No | No | No | No | Yes | No | No |
Emissions considered | No | Yes | No | No | No | No | No |
Modal split considered | No | No | No | No | No | No | No |
Ports included | No | No | Yes | Yes | No | No |
Taxonomy part VI
Taxonomy parameter\ paper | Perakis and Papadakis (1989) | Psaraftis and Kontovas (2009b) | Psaraftis and Kontovas (2010) | Psaraftis and Kontovas (2014) | Qi and Song (2012) | Ronen (1982) | |
---|---|---|---|---|---|---|---|
Optimization criterion | Cost | Time | Cost | Cost | Cost | Fuel consumption | Profit |
Shipping market | Tramp | General | Tramp | General | General | liner | Tramp |
Decision maker | Owner | Ship’s master | Charterer | Charterer | Charterer | Owner | Owner |
Fuel price an explicit input | Yes | No | Yes | No | Yes | No | Yes |
Freight rate an input | No | No | Input | Input | Input | No | Input |
Fuel consumption function | General | N/A | Cubic | General | General | cubic | Cubic |
Optimal speeds in various legs | Yes | N/A | Yes | No | Yes | Yes | Yes |
Optimal speeds as function of payload | No | No | Yes | No | Yes | No | No |
Logistical context | Fleet deployment | Weather routing | Fixed route | Fixed route | Fixed or flexible route | Scheduling | Fixed route |
Size of fleet | Multiple ships | One ship | Multiple ships | Multiple ships | One ship | Multiple ships | One ship |
Add more ships an option | No | No | Yes | Yes | No | No | No |
Inventory costs included | Yes | No | Yes | Yes | Yes | No | No |
Emissions considered | No | No | Yes | No | Yes | Yes | No |
Modal split considered | No | No | No | Yes | No | No | No |
Ports included | Yes | Yes | No | No | No | Yes | Yes |
Taxonomy part VII
Taxonomy parameter\paper | Ronen (2011) | Stopford (2009) | Wang and Meng (2012a) | Wang and Meng (2012b) | Wang and Meng (2012c) | Wang et al. (2014) | Yao, Ng, and Lee (2012) |
---|---|---|---|---|---|---|---|
Optimization criterion | Cost | Profit | Cost | Total cost and fuel cost | Cost | Cost | Fuel cost |
Shipping market | Container | General | Container | Liner | Liner | Container | Container |
Decision maker | Owner | Owner | Owner | Owner | Owner | Owner | Owner |
Fuel price an explicit input | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
Freight rate an input | No | Input/computed | No | No | No | No | No |
Fuel consumption function | Cubic | Cubic | linearized | cubic | linearized | General | cubic |
Optimal speeds in various legs | No | No | Yes | Yes | Yes | Yes | Yes |
Optimal speeds as function of payload | No | No | No | No | No | No | No |
Logistical context | Fixed route | Fixed route | Scheduling | Scheduling | Scheduling | Schedule design | Bunker fuel management |
Size of fleet | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships | Multiple ships |
Add more ships an option | Yes | No | No | No | No | No | No |
Inventory costs included | No | Yes | No | No | No | Yes | No |
Emissions considered | No | No | No | No | No | No | No |
Modal split considered | No | No | No | No | No | No | No |
Ports included | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
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Psaraftis, H.N., Kontovas, C.A. (2016). Green Maritime Transportation: Speed and Route Optimization. In: Psaraftis, H. (eds) Green Transportation Logistics. International Series in Operations Research & Management Science, vol 226. Springer, Cham. https://doi.org/10.1007/978-3-319-17175-3_9
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