Algorithmic Precision and Human Decision: A Study of Interactive Optimization for School Schedules
中文摘要
本文与旧金山联合学区(SFUSD)合作,提出一个交互式优化框架,以应对复杂的学校作息安排挑战。上课与放学时间的选择是一项优化难题,因为作息安排会影响学区的交通系统,而限制相关成本是一个计算上困难的组合问题。然而,它同时也是一项政策难题,因为交通成本远非学校作息变更的唯一后果。政策制定者需要时间和知识来权衡这些考量并审慎达成共识;尽管已有最先进的优化方法,过去的实施方案仍因政策问题而失败。我们首先用一个刻画政策制定者与研究者互动的微观基础模型来阐明我们的方法,论证限制二者之间的依赖是关键所在。基于这些洞见,我们提出一个框架,包括:(1)一个能够求解学校作息问题且相较文献表现更优的快速算法;(2)一种交互式优化方法,利用该速度使政策制定者能够以透明、高效的方式探索多种方案,从而促进政策决策过程。该框架促成了美国首次由优化驱动的上课时间变更,于2021年更新了SFUSD全部133所学校的作息安排,每年交通节省超过500万美元。2022年对约27,000名家长和教职工开展的全面调查为该方法的有效性提供了证据。
Abstract
In collaboration with the San Francisco Unified School District (SFUSD), this paper introduces an interactive optimization framework to tackle complex school scheduling challenges. The choice of school start and end times is an optimization challenge, as schedules influence the district’s transportation system, and limiting the associated costs is a computationally difficult combinatorial problem. However, it is also a policy challenge, as transportation costs are far from the only consequence of school schedule changes. Policymakers need time and knowledge to balance these considerations and reach a consensus carefully; past implementations have failed because of policy issues, despite state-of-the-art optimization approaches. We first motivate our approach with a microfoundation model of the interplay between policymakers and researchers, arguing that limiting their dependency is key. Building on these insights, we propose a framework that includes (1) a fast algorithm capable of solving the school schedule problem that compares favorably to the literature and (2) an interactive optimization approach that leverages this speed to allow policymakers to explore a variety of solutions in a transparent and efficient way, facilitating the policy decision-making process. The framework led to the first optimization-driven school start time changes in the United States, updating the schedule of all 133 schools in SFUSD in 2021, with annual transportation savings exceeding $5 million. A comprehensive survey of approximately 27,000 parents and staff in 2022 provides evidence of the approach’s effectiveness.