In this work we present a generalization of market coordination to multi-product supply chains and use this framework to analyze their spatio-temporal economic properties. We interpret a supply chain as a market consisting of independent stakeholders (suppliers, consumers, transportation, and technology providers) who bid into a coordination system that is managed and cleared by an independent entity to obtain product allocations and prices. The proposed model provides a general graph representation of spatio-temporal product transport that helps capture geographical transport, time delays, and storage (temporal transport) in a unified and compact manner. This representation allows us to establish fundamental economic properties for the supply chain (revenue adequacy, cost recovery, and competitiveness) and to establish bounds for space-time prices. To illustrate these concepts, we consider a case study in which organic waste is used for producing biogas and electricity. Our market model shows that incentives for waste storage emerge from electricity demand dynamics and illustrates how space-time price dynamics for waste and derived products emerge from geographical transport and storage.

在这项工作中，我们将市场协调推广到多产品供应链，并使用该框架来分析它们的时空经济特性。我们将供应链解释为一个由独立利益相关者（供应商、消费者、运输和技术提供商）组成的市场，他们竞标到一个由独立实体管理和清算的协调系统，以获得产品分配和价格。所提出的模型提供了时空产品传输的一般图形表示，有助于以统一和紧凑的方式捕获地理传输、时间延迟和存储（时间传输）。这种表示使我们能够建立供应链的基本经济属性（收入充足性、成本回收、和竞争力）并建立时空价格的界限。为了说明这些概念，我们考虑一个案例研究，其中有机废物被用于生产沼气和电力。我们的市场模型表明，对废物储存的激励来自电力需求动态，并说明了废物和衍生产品的时空价格动态如何来自地理运输和储存。