Scalable Computation of High-Order Optimization Queries

Communications of the ACM 

Constrained optimization problems are at the heart of significant applications in a broad range of domains, including finance, transportation, manufacturing, and healthcare. Modeling and solving these problems has relied on application-specific solutions, which are often complex, error-prone, and do not generalize. Our goal is to create a domain-independent, declarative approach, supported and powered by the system where the data relevant to these problems typically resides: the database. We present a complete system that supports package queries, a new query model that extends traditional database queries to handle complex constraints and preferences over answer sets, allowing the declarative specification and efficient evaluation of a significant class of constrained optimization problems--integer linear programs (ILP)--within a database. Traditional database queries follow a simple model: they define constraints, in the form of selection predicates, that each tuple in the result must satisfy.

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