Modern traceability technologies promise to improve supply chain management by simplifying recalls, increasing demand visibility, or ascertaining sustainable supplier practices. Managers in the traceability initiatives developing such technologies face a difficult question: which companies should they target as early adopters to ensure that their technology is broadly employed? To answer this question, managers must consider that supply chains are interlinked in complex networks and that a supply chain effect is inherent to traceability technologies. More specifically, the benefits obtained from traceability are conditional on technology adoption throughout a product's supply chain. We introduce a model of the dynamics of traceability technology adoption in supply chain networks to tackle the problem of selecting the smallest set of early adopters guaranteeing broad dissemination. Our model builds on extant diffusion models while incorporating that a firm's adoption decision depends on previous adoption decisions throughout its supply chains. We show that the problem is NP-hard and that no approximation within a polylogarithmic factor can be guaranteed for any polynomial-time algorithm. Nevertheless, we introduce an algorithm that identifies an exact solution in polynomial time under certain assumptions on the network structure and provide evidence that it is tractable for real-world supply chain networks. We further propose a random generative model that outputs networks consistent with real-world supply chain networks. The networks obtained display, whp, structures that allow us to find the optimal seed set in subexponential time using our algorithm. Our generative model also provides approximate seed sets when information on the network is limited.
翻译:开发此类技术的可追踪性倡议的管理人员面临一个棘手的问题:哪些公司应该作为早期采用者的目标,以确保技术得到广泛使用?为了回答这一问题,管理人员必须认为供应链在复杂的网络中相互关联,供应链效应是追踪技术所固有的。更具体地说,从可追踪中获得的好处取决于产品供应链中采用技术。我们引入供应链网络采用可追踪技术动态技术的动态模型,以解决选择最小型的早期采用者保证广泛传播的问题。我们的模式建立在扩展模式上,同时纳入公司通过决定取决于整个供应链的先前采用决定。我们表明,问题在于NP硬性,不能保证任何多式时间算法在多式因素中接近。然而,我们引入了一种算法,在网络结构的某些假设下,在多式时间里确定精确的解决方案,并提供证据,证明它对于现实世界供应链网络是可移动的。我们进一步提议,一个随机的基因分析型网络的种子网络显示我们真正的种子网络,在使用我们最精确的种子网络时,能够使我们的种子网络成为最精确的模型。