A mixed integer programming approach to improve oil spill response resource allocation in the Canadian arctic

Tanmoy Das, Floris Goerlandt, Ronald Pelot
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Abstract

Determining proper locations to establish emergency response facilities is a critical strategic element of pollution preparedness and response planning for oil spills in remote areas. Many location-allocation models are available in the literature, but Arctic contexts such as remoteness and environmental sensitivities are still inadequately investigated while building optimization models. A Mixed Integer Programming (MIP) based optimization model is developed to devise a location-allocation problem: maximizing weighted spill coverage considering spill size, environmental sensitivity, and response time. Strategic decisions - e.g. allocation of stockpiling resources to resource stations and which response stations to open - are incorporated into the model as decision variables. Input parameters of the model are estimated using numerical and geospatial data of potential oil spills and response stations. The model is illustrated for hypothetical oil spill scenarios in the Canadian Arctic. The model provides optimal allocation of resources and recommends best-suited locations to build response facilities. Data visualization tools including Network Diagrams and sensitivity analysis on different model configurations, show the adequacy of the proposed mathematical modelling approach to solve the given problem. Multiple facility locations have been compared to cover all possible oil spills along Arctic shipping routes, further revealing a few better locations considering realistic constraints. Decision makers can use such optimization modelling information – e.g., how many stations to build in the Arctic to adequately cover potential oil spills – to aid strategic decision-making of maritime shipping.

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一种改进加拿大北极溢油响应资源分配的混合整数规划方法
确定建立应急设施的适当地点,是对偏远地区的石油泄漏进行污染防范和应急规划的一个关键战略要素。文献中有许多位置分配模型,但在建立优化模型时,对北极环境(如偏远和环境敏感性)的调查仍然不够充分。提出了一种基于混合整数规划(MIP)的优化模型来设计一个位置分配问题:考虑泄漏大小、环境敏感性和响应时间,最大化加权泄漏覆盖范围。战略决策——例如将储备资源分配给资源站和开放哪些响应站——作为决策变量纳入模型。模型的输入参数是利用潜在溢油和响应站的数值和地理空间数据估计的。该模型是针对加拿大北极地区石油泄漏的假设情景进行说明的。该模型提供资源的最佳分配,并推荐最适合的地点来建立响应设施。数据可视化工具包括网络图和对不同模型配置的敏感性分析,显示了所提出的数学建模方法对解决给定问题的充分性。多个设施的位置进行了比较,以覆盖北极航线上所有可能的石油泄漏,进一步揭示了考虑到现实限制的一些更好的位置。决策者可以利用这种优化建模信息——例如,在北极建立多少站点才能充分覆盖潜在的石油泄漏——来帮助海上运输的战略决策。
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