Stochastic optimization methods for vehicle routing and network design problems

当它们出现在实际环境中时，组合优化问题通常涉及一定程度的不确定性（随机环境），在开发适当的模型来解决它们时需要考虑这些不确定性。其原因是，在随机环境中最优的解决方案通常在结构上不同于其确定性对应方案。在一个不确定的环境中，当公司或组织面临这样的问题时，他们需要找到解决方案，这些解决方案需要既稳健（即，在不同的上下文场景下保持高效）和弹性（即，当意外事件发生时能够快速反弹）。通信和信息技术现在更容易获得，并以各种方式加以应用，以获得关于问题参数的更多信息，并更好地了解不确定性如何出现和影响这些参数。然而，需要适应性随机优化模型来正确地制定涉及不确定性问题的决策动态，并有效地利用与上下文相关的可用信息。本研究计划致力于在解决运输（车辆路径）和物流（网络设计）问题的背景下研究这一重要问题。三个研究领域被定义在本计划。前两个重点考虑的问题：区域1动态和随机车辆路径模型和区域2随机网络设计模型。在这些领域，将开展一般项目：在领域1，随机车辆路径问题的一致性（项目1.1）和动态城市车辆路径问题（项目1.2）;在领域2，设计鲁棒和弹性网络（项目2.1）和不确定性下的容量规划（项目2.2）。至于第三个领域，它致力于发展随机问题的一般解决方案（领域3方法发展），这将在三个项目中完成：分解策略（项目3.1），混合解决方案（项目3.2）和并行方法（项目3.3）。

Whenever they appear in practical settings, combinatorial optimization problems oftentimes involve a level of uncertainty (stochastic environment) that needs to be factored in when developing appropriate models to solve them. The reasons for this being that solutions that are optimal in stochastic settings are usually structurally different from their deterministic counterparts. In an uncertain environment, when companies or organizations face such problems, they need to find solutions that need to be both robust (i.e., remain efficient under different contextual scenarios) and resilient (i.e., able to quickly rebound when unexpected events occur). Communicational and informational technologies are now more readily available and applied in various ways to obtain more information on the parameters of the problems and get a better understanding of how uncertainty appears and affects them. However, adapted stochastic optimization models are needed to properly formulate the decisional dynamics of problems that involve uncertainty and to efficiently utilize the available information pertaining to the context. The present research program is dedicated to the study of this important issue in the context of solving both transportation (vehicle routing) and logistics (network design) problems. Three general areas of research are defined in the present program. The first two focus on the problems considered: Area 1 Dynamic and stochastic vehicle routing models and Area 2 Stochastic network design models. In these areas, general projects will be undertaken: in Area 1, Consistency in stochastic vehicle routing problems (project 1.1) and Dynamic urban vehicle routing problems (project 1.2); in Area 2, Designing robust and resilient networks (project 2.1) and Capacity planning under uncertainty (project 2.2). As for the third area, it is dedicated to the development of general solution strategies for stochastic problems (Area 3 Methodological development), which will be done in three projects: Decomposition strategies (project 3.1), Hybrid solution methods (project 3.2) and Parallel methods (project 3.3).