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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Main Authors: Janne Huotari, Teemu Manderbacka, Antti Ritari, Kari Tammi
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Journal of Marine Science and Engineering
Subjects:
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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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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AT anttiritari convexoptimisationmodelforshipspeedprofileoptimisationunderfixedschedule
AT karitammi convexoptimisationmodelforshipspeedprofileoptimisationunderfixedschedule