Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule
We present a novel convex optimisation model for ship speed profile optimisation under varying environmental conditions, with a fixed schedule for the journey. To demonstrate the efficacy of the proposed method, a combined speed profile optimisation model was developed that employed an existing dyna...
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Format: | Article |
Language: | English |
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MDPI AG
2021-07-01
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Series: | Journal of Marine Science and Engineering |
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Online Access: | https://www.mdpi.com/2077-1312/9/7/730 |
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author | Janne Huotari Teemu Manderbacka Antti Ritari Kari Tammi |
author_facet | Janne Huotari Teemu Manderbacka Antti Ritari Kari Tammi |
author_sort | Janne Huotari |
collection | DOAJ |
description | We present a novel convex optimisation model for ship speed profile optimisation under varying environmental conditions, with a fixed schedule for the journey. To demonstrate the efficacy of the proposed method, a combined speed profile optimisation model was developed that employed an existing dynamic programming approach, along the novel convex optimisation model. The proposed model was tested with 5 different ships for 20 journeys from Houston, Texas to London Gateway, with differing environmental conditions, which were retrieved from actual weather forecasts. As a result, it was shown that the combined model with both dynamic programming and convex optimisation was approximately 22% more effective in developing a fuel saving speed profile compared to dynamic programming alone. Overall, average fuel savings for the studied voyages with speed profile optimisation was approximately 1.1% compared to operation with a fixed speed and 3.5% for voyages where significant variance in environmental conditions was present. Speed profile optimisation was found to be especially beneficial in cases where detrimental environmental conditions could be avoided with minor speed adjustments. Relaxation of the fixed schedule constraint likely leads to larger savings but makes comparison virtually impossible as a lower speed leads to lower propulsion energy needed. |
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issn | 2077-1312 |
language | English |
last_indexed | 2024-03-10T09:35:14Z |
publishDate | 2021-07-01 |
publisher | MDPI AG |
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series | Journal of Marine Science and Engineering |
spelling | doaj.art-4ca4bdecb5ba47a8b9fd4d65643aefec2023-11-22T04:08:50ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-07-019773010.3390/jmse9070730Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed ScheduleJanne Huotari0Teemu Manderbacka1Antti Ritari2Kari Tammi3Department of Mechanical Engineering, Aalto University, Otakaari 4, 02150 Espoo, FinlandNapa Ltd., Tammasaarenkatu 3, 00180 Helsinki, FinlandDepartment of Mechanical Engineering, Aalto University, Otakaari 4, 02150 Espoo, FinlandDepartment of Mechanical Engineering, Aalto University, Otakaari 4, 02150 Espoo, FinlandWe present a novel convex optimisation model for ship speed profile optimisation under varying environmental conditions, with a fixed schedule for the journey. To demonstrate the efficacy of the proposed method, a combined speed profile optimisation model was developed that employed an existing dynamic programming approach, along the novel convex optimisation model. The proposed model was tested with 5 different ships for 20 journeys from Houston, Texas to London Gateway, with differing environmental conditions, which were retrieved from actual weather forecasts. As a result, it was shown that the combined model with both dynamic programming and convex optimisation was approximately 22% more effective in developing a fuel saving speed profile compared to dynamic programming alone. Overall, average fuel savings for the studied voyages with speed profile optimisation was approximately 1.1% compared to operation with a fixed speed and 3.5% for voyages where significant variance in environmental conditions was present. Speed profile optimisation was found to be especially beneficial in cases where detrimental environmental conditions could be avoided with minor speed adjustments. Relaxation of the fixed schedule constraint likely leads to larger savings but makes comparison virtually impossible as a lower speed leads to lower propulsion energy needed.https://www.mdpi.com/2077-1312/9/7/730voyage optimisationspeed optimisationDijkstra’s algorithmconvex optimisation |
spellingShingle | Janne Huotari Teemu Manderbacka Antti Ritari Kari Tammi Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule Journal of Marine Science and Engineering voyage optimisation speed optimisation Dijkstra’s algorithm convex optimisation |
title | Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule |
title_full | Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule |
title_fullStr | Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule |
title_full_unstemmed | Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule |
title_short | Convex Optimisation Model for Ship Speed Profile: Optimisation under Fixed Schedule |
title_sort | convex optimisation model for ship speed profile optimisation under fixed schedule |
topic | voyage optimisation speed optimisation Dijkstra’s algorithm convex optimisation |
url | https://www.mdpi.com/2077-1312/9/7/730 |
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