Dynamic programming algorithms for selection of waste disposal ports in cruise shipping
•Static/dynamic itinerary and deterministic/stochastic amount of waste.•Polynomial-time solution algorithm for the static deterministic model.•Identify the optimal policy to the dynamic stochastic problem. The cruise industry has maintained a steady growth in the past 20 years. Due to the large numb...
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| Vydáno v: | Transportation research. Part B: methodological Ročník 108; s. 235 - 248 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Oxford
Elsevier Ltd
01.02.2018
Elsevier Science Ltd |
| Témata: | |
| ISSN: | 0191-2615, 1879-2367 |
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| Abstract | •Static/dynamic itinerary and deterministic/stochastic amount of waste.•Polynomial-time solution algorithm for the static deterministic model.•Identify the optimal policy to the dynamic stochastic problem.
The cruise industry has maintained a steady growth in the past 20 years. Due to the large number of cruise passengers and regulations on sea environment protection, determining at which ports to dispose of the waste generated onboard a cruise ship is a key decision to reduce the cost for a cruise company. We address four versions of the problem: the cruise itinerary is either static or dynamic and the amount of waste generated on each voyage leg is either deterministic or stochastic. We propose a polynomial-time solution algorithm for the static deterministic model, and the idea of the algorithm can also be used to solve the static stochastic model and the dynamic deterministic model. Second, we identify the structure of the optimal policy to the dynamic stochastic problem, based on which an efficient dynamic programming algorithm is developed. Extensive numerical experiments derived from problems of real-case scales demonstrate the efficiency of the proposed algorithms. |
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| AbstractList | •Static/dynamic itinerary and deterministic/stochastic amount of waste.•Polynomial-time solution algorithm for the static deterministic model.•Identify the optimal policy to the dynamic stochastic problem.
The cruise industry has maintained a steady growth in the past 20 years. Due to the large number of cruise passengers and regulations on sea environment protection, determining at which ports to dispose of the waste generated onboard a cruise ship is a key decision to reduce the cost for a cruise company. We address four versions of the problem: the cruise itinerary is either static or dynamic and the amount of waste generated on each voyage leg is either deterministic or stochastic. We propose a polynomial-time solution algorithm for the static deterministic model, and the idea of the algorithm can also be used to solve the static stochastic model and the dynamic deterministic model. Second, we identify the structure of the optimal policy to the dynamic stochastic problem, based on which an efficient dynamic programming algorithm is developed. Extensive numerical experiments derived from problems of real-case scales demonstrate the efficiency of the proposed algorithms. The cruise industry has maintained a steady growth in the past 20 years. Due to the large number of cruise passengers and regulations on sea environment protection, determining at which ports to dispose of the waste generated onboard a cruise ship is a key decision to reduce the cost for a cruise company. We address four versions of the problem: the cruise itinerary is either static or dynamic and the amount of waste generated on each voyage leg is either deterministic or stochastic. We propose a polynomial-time solution algorithm for the static deterministic model, and the idea of the algorithm can also be used to solve the static stochastic model and the dynamic deterministic model. Second, we identify the structure of the optimal policy to the dynamic stochastic problem, based on which an efficient dynamic programming algorithm is developed. Extensive numerical experiments derived from problems of real-case scales demonstrate the efficiency of the proposed algorithms. |
| Author | Zhen, Lu Wang, Shuaian Zhuge, Dan |
| Author_xml | – sequence: 1 givenname: Shuaian surname: Wang fullname: Wang, Shuaian organization: The Hong Kong Polytechnic University Shenzhen Research Institute, Nanshan District, Shenzhen, China – sequence: 2 givenname: Lu surname: Zhen fullname: Zhen, Lu email: lzhen@shu.edu.cn organization: School of Management, Shanghai University, Shang Da Road 99, Shanghai 200444, China – sequence: 3 givenname: Dan surname: Zhuge fullname: Zhuge, Dan organization: Department of Logistics & Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Hong Kong |
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| Cites_doi | 10.1016/j.trb.2013.09.006 10.1016/j.wasman.2009.06.025 10.1016/j.trb.2016.04.011 10.1016/S0308-597X(02)00008-8 10.1111/j.1467-8373.2008.00369.x 10.1016/j.trb.2015.03.001 10.1016/j.ejor.2012.12.002 10.1016/j.trc.2007.04.005 10.1016/j.trb.2015.01.004 10.1016/j.trc.2014.01.012 10.1016/j.trb.2016.05.001 10.1016/j.ejor.2010.03.043 10.1016/S0025-326X(02)00324-7 10.1016/j.ejor.2017.07.063 10.1287/trsc.35.2.192.10134 10.1016/j.trc.2014.03.001 10.1080/24725854.2017.1299954 10.1375/jhtm.18.1.107 10.5957/mt1.2000.37.4.216 10.1016/j.trb.2016.10.020 10.1016/j.trc.2012.09.012 10.1287/trsc.2013.0461 10.1016/j.marpol.2007.03.002 10.1016/j.marpolbul.2005.06.021 10.1080/03088839.2014.930934 10.1287/mnsc.2014.2067 10.1016/j.tourman.2008.05.008 10.1016/j.trb.2017.10.008 |
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| Snippet | •Static/dynamic itinerary and deterministic/stochastic amount of waste.•Polynomial-time solution algorithm for the static deterministic model.•Identify the... The cruise industry has maintained a steady growth in the past 20 years. Due to the large number of cruise passengers and regulations on sea environment... |
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| SubjectTerms | Algorithms Cruise ship Dynamic programming Environmental protection Mathematical models Ports Shipping Stochastic control theory Stochastic models Waste disposal Water transportation |
| Title | Dynamic programming algorithms for selection of waste disposal ports in cruise shipping |
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