Stability metrics for a maritime inventory routing problem under sailing time uncertainty

IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Homayoun Shaabani , Lars Magnus Hvattum , Gilbert Laporte , Arild Hoff
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引用次数: 0

Abstract

We study a multi-product maritime inventory routing problem (MIRP) with sailing time uncertainty. We explicitly consider the replanning that happens after uncertainty is revealed. The objective is to determine the stability of the adjusted plans after the occurrence of an uncertain event and to evaluate the effect of incorporating different stability metrics in the rescheduling process. Five stability metrics are introduced, and mathematical formulations of the MIRP incorporating each metric are presented. A reoptimization framework is then used to analyze the impact of each stability metric. Calculations are performed using 360 instances. The main result is that adjustments to the original plan occur at no additional cost almost 50% of the time. If decision makers want a more stable plan, they should accept a 5% cost deterioration, resulting in 20% more stable solutions.
航行时间不确定情况下的海上库存路由问题的稳定性指标
我们研究了一个具有航行时间不确定性的多产品海上库存路由问题(MIRP)。我们明确考虑了不确定性暴露后的重新规划。我们的目标是确定不确定事件发生后调整后计划的稳定性,并评估在重新安排过程中采用不同稳定性指标的效果。本文介绍了五个稳定性指标,并给出了包含每个指标的 MIRP 数学公式。然后使用重新优化框架来分析每个稳定性指标的影响。计算使用了 360 个实例。主要结果是,对原始计划的调整几乎有 50%的时间不需要额外成本。如果决策者想要一个更稳定的计划,他们应该接受 5%的成本下降,从而获得 20% 更稳定的解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.60
自引率
0.00%
发文量
24
审稿时长
129 days
期刊介绍: The EURO Journal on Transportation and Logistics promotes the use of mathematics in general, and operations research in particular, in the context of transportation and logistics. It is a forum for the presentation of original mathematical models, methodologies and computational results, focussing on advanced applications in transportation and logistics. The journal publishes two types of document: (i) research articles and (ii) tutorials. A research article presents original methodological contributions to the field (e.g. new mathematical models, new algorithms, new simulation techniques). A tutorial provides an introduction to an advanced topic, designed to ease the use of the relevant methodology by researchers and practitioners.
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