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The emergence of cloud computing has revolutionized various business sectors, such as transportation, health care and retail. In particular, the ability to bring together huge amounts of data with accessible compute resources, has opened the gate for solving large-scale decision problems associated with the underlying data. One such example is Distributed Order Management (DOM), a key component in modern retail applications. The goal of DOM is assigning orders of customers to stores (or warehouses) while minimizing fulfillment costs. In the Distributed Order Management (DOM) problem there are: a set N of customers, a set M of stores, and a catalog K of items. There is an order associated with each customer, where an order is a collection of items purchased by the customer. Items are aggregated into lines, which means that each item k, ordered by customer j, defines a line, and djk denotes the number of …