Resource Allocation via Message Passing

  • Authors:
  • Ciamac C. Moallemi;Benjamin Van Roy

  • Affiliations:
  • Graduate School of Business, Columbia University, New York, New York 10027;Department of Management Science and Engineering, Stanford University, Stanford, California 94305

  • Venue:
  • INFORMS Journal on Computing
  • Year:
  • 2011

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Abstract

We propose a message-passing paradigm for resource allocation problems. This serves to connect ideas from the message-passing literature, which has primarily grown out of the communications, statistical physics, and artificial intelligence communities, with a problem central to operations research. This also provides a new framework for decentralized management that generalizes price-based systems by allowing incentives to vary across activities and consumption levels. We demonstrate that message-based incentives, which are characterized by a new equilibrium concept, lead to system-optimal behavior for convex resource allocation problems yet yield allocations superior to those from price-based incentives for nonconvex problems. We describe a distributed and asynchronous message-passing algorithm for computing equilibrium messages and allocations, and we demonstrate its merits in the context of a network resource allocation problem.