{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,20]],"date-time":"2026-07-20T01:43:49Z","timestamp":1784511829099,"version":"3.55.0"},"reference-count":25,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2019,8,24]],"date-time":"2019-08-24T00:00:00Z","timestamp":1566604800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Risk assessment and emergency responses to ensure the safety of ships crossing the Arctic have gained tremendous attention in recent years. However, asymmetry in the probability that people will receive aid when navigating through the Arctic still exists because of the unsystematic allocation of rescue bases in the Arctic. At the same time, no study has proposed an overall solution to the problem of allocating rescue bases in the Arctic region to safeguard people\u2019s interests. In this paper, we investigated the main natural factors affecting the safety of ship navigation in the Arctic based on the statistics of ship accidents in the Arctic from 1995 to 2004. The navigation risk of the Arctic was then assessed based on these natural factors, reflecting the need for rescue at all locations in the Arctic. Next, 37 cities with good infrastructure were selected among those along the Arctic as candidate locations for rescue bases. Finally, a new model was constructed based on the Set Covering Location Model, Double Covering Location Model, and P-Median Model to determine the optimal allocation of rescue bases in the Arctic. The rescue bases covered all the areas in the Arctic, and minimized cost in terms of distance and other economic factors. In addition, the constructed model ensured that two rescue bases were allocated to the areas with high navigation risk.<\/jats:p>","DOI":"10.3390\/sym11091073","type":"journal-article","created":{"date-parts":[[2019,8,26]],"date-time":"2019-08-26T04:38:23Z","timestamp":1566794303000},"page":"1073","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Study on the Allocation of a Rescue Base in the Arctic"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1879-1133","authenticated-orcid":false,"given":"Yulong","family":"Shan","sequence":"first","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 210000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ren","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 210000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1029\/2007GL029703","article-title":"Arctic sea ice decline: Faster than forecast","volume":"34","author":"Stroeve","year":"2007","journal-title":"Geophys. Res. Lett."},{"key":"ref_2","unstructured":"Arctic Council (2009). Arctic Marine Shipping Assessment Report 2009, Arctic Council."},{"key":"ref_3","first-page":"533","article-title":"Multi-objective optimization of oil spill assistant site selection in the Bohai sea","volume":"37","author":"Li","year":"2016","journal-title":"J. Harbin Eng. Univ."},{"key":"ref_4","unstructured":"Li, J. (2008). The Research of Maritime Accidents Based on the Support Vector Machines, Wuhan University of Technology."},{"key":"ref_5","unstructured":"Weber, A. (1909). Theory of Industrial Location, San Jos\u00e9 State University Department of Economics."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1287\/opre.12.3.450","article-title":"Optimum locations of switching centers and the absolute centers and medians of a graph","volume":"12","author":"Hakimi","year":"1964","journal-title":"Oper. Res."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1095","DOI":"10.1057\/jors.1978.241","article-title":"A new method for the multifacility minimax location problem","volume":"29","author":"Drezner","year":"1978","journal-title":"J. Oper. Res. Soc."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1287\/opre.13.3.462","article-title":"Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems","volume":"13","author":"Hakimi","year":"1965","journal-title":"Oper. Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1287\/trsc.5.2.212","article-title":"Optimal Center Location in Simple Networks","volume":"5","author":"Goldman","year":"1971","journal-title":"Transp. Sci."},{"key":"ref_10","first-page":"15","article-title":"The Study of Greedy Dropping Heuristic Algorithm in Discrete Network Location","volume":"18","year":"2010","journal-title":"Chin. J. Syst. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1287\/opre.17.3.455","article-title":"Computer Solutions to Minimum-Cover Problems","volume":"17","author":"Roth","year":"1969","journal-title":"Oper. Res."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1363","DOI":"10.1287\/opre.19.6.1363","article-title":"The Location of Emergency Service Facilities","volume":"19","author":"Toregas","year":"1971","journal-title":"Oper. Res."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1167","DOI":"10.1057\/jors.1978.261","article-title":"Probabilistic Formulation of the Emergency Service Location Problem","volume":"29","author":"Aly","year":"1978","journal-title":"J. Oper. Res. Soc."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1111\/j.1435-5597.1974.tb00902.x","article-title":"The maximal covering location problem","volume":"32","author":"Church","year":"1974","journal-title":"Pap. Reg. Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1111\/j.1538-4632.1976.tb00547.x","article-title":"Theoretical and computational links between the p-median, location set-covering, and the maximal covering location problem","volume":"8","author":"Church","year":"1976","journal-title":"Geogr. Anal."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1016\/S0305-0548(01)00079-X","article-title":"The generalized maximal covering location problem","volume":"29","author":"Berman","year":"2002","journal-title":"Comput. Oper. Res."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/S0966-8349(97)00009-0","article-title":"On cent-dians of general networks","volume":"5","author":"Ogryczak","year":"1997","journal-title":"Locat. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/S0377-2217(97)00247-6","article-title":"A multi-objective model for locating fire stations","volume":"110","author":"Badri","year":"1998","journal-title":"Eur. J. Oper. Res."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"10099","DOI":"10.1016\/j.eswa.2011.02.001","article-title":"Locating emergency facilities with random demand for risk minimization","volume":"38","author":"Canbolat","year":"2011","journal-title":"Expert Syst. Appl."},{"key":"ref_20","unstructured":"Li, H., Liu, Y., and Liu, W. (2017). Optimization Method of Emergency rescue Base Site Selection in Bohai Sea. Journal of Henan University of Science and Technology (Natural Science), Luoyang Post Office."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Shan, Y., Zhang, R., Li, M., Wang, Y., Li, Q., and Li, L. (2019). Generation and Analysis of Gridded Visibility Data in the Arctic. Atmosphere, 10.","DOI":"10.3390\/atmos10060314"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1869","DOI":"10.1007\/s00024-019-02168-6","article-title":"A Review of High Impact Weather for Aviation Meteorology","volume":"176","author":"Gultepe","year":"2019","journal-title":"Pure Appl. Geophys."},{"key":"ref_23","first-page":"121","article-title":"Disaster assessment and risk zoning concerning the South China Sea and Indian Ocean safety","volume":"31","author":"Li","year":"2012","journal-title":"J. Trop. Oceanogr."},{"key":"ref_24","unstructured":"Yu, M., Ge, S., and Zhang, R. (2018). Marine Environmental Risk Assessment and Regionalization of the Northwest Passage in the Arctic, Annual report on investment security of china\u2019s \u201cthe belt and road\u201d construction (2017\u20132018); Social Sciences Academic Press."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Miki, S., Yamamoto, D., and Ebara, H. (2018, January 16\u201317). Applying Deep Learning and Reinforcement Learning to Traveling Salesman Problem. Proceedings of the 2018 International Conference on Computing, Electronics & Communications Engineering (iCCECE), University of Essex, Southend, UK.","DOI":"10.1109\/iCCECOME.2018.8659266"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/9\/1073\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:13:45Z","timestamp":1760188425000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/9\/1073"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,24]]},"references-count":25,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2019,9]]}},"alternative-id":["sym11091073"],"URL":"https:\/\/doi.org\/10.3390\/sym11091073","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8,24]]}}}