Management Science · 2025 · Philippe Blaettchen、Andre P. Calmon、Georgina Hall
中文摘要
现代可追溯性技术有望通过简化召回流程、提升可见性以及核验供应商的可持续实践来改善供应链管理。主导可追溯性技术实施的倡议必须选择成本最低的企业集合(即种子集)作为早期采纳的目标。选择这一种子集颇具挑战,因为企业处于以复杂网络相互连接的供应链之中,从而产生一种内在的供应链效应:从可追溯性中获得的收益取决于产品供应链中一部分企业对技术的采纳情况。我们证明,在供应链网络中选取成本最低的种子集这一问题难以求解,甚至难以在对数多项式因子内近似求解。尽管如此,我们提供了一种新颖的基于线性规划的算法来识别成本最低的种子集。该算法在供应链网络树宽上是固定参数可处理的,而我们表明现实世界的供应链网络中树宽较低。该算法还使我们能够推导出易于计算的关于选取最优种子集成本的界。我们利用这一工具箱开展了大规模数值实验,为供应链网络结构如何影响扩散提供了洞见。这些洞见有助于管理者优化其技术扩散策略。
Abstract
Modern traceability technologies promise to improve supply chain management by simplifying recalls, increasing visibility, and verifying sustainable supplier practices. Initiatives leading the implementation of traceability technologies must choose the least-costly set of firms—or seed set—to target for early adoption. Choosing this seed set is challenging because firms are part of supply chains interlinked in complex networks, yielding an inherent supply chain effect: benefits obtained from traceability are conditional on technology adoption by a subset of firms in a product’s supply chain. We prove that the problem of selecting the least-costly seed set in a supply chain network is hard to solve and even approximate within a polylogarithmic factor. Nevertheless, we provide a novel linear programming-based algorithm to identify the least-costly seed set. The algorithm is fixed-parameter tractable in the supply chain network’s treewidth, which we show to be low in real-world supply chain networks. The algorithm also enables us to derive easily computable bounds on the cost of selecting an optimal seed set. We leverage our toolbox to conduct large-scale numerical experiments that provide insights into how the supply chain network structure influences diffusion. These insights can help managers optimize their technology diffusion strategy.