A Re-Solving Heuristic with Bounded Revenue Loss for Network Revenue Management with Customer Choice

  • Authors:
  • Stefanus Jasin;Sunil Kumar

  • Affiliations:
  • Ross School of Business, University of Michigan, Ann Arbor, Michigan 48109;Booth School of Business, University of Chicago, Chicago, Illinois 60637

  • Venue:
  • Mathematics of Operations Research
  • Year:
  • 2012

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Abstract

We consider a network revenue management problem with customer choice and exogenous prices. We study the performance of a class of certainty-equivalent heuristic control policies. These heuristics periodically re-solve the deterministic linear program (DLP) that results when all future random variables are replaced by their average values and implement the solutions in a probabilistic manner. We provide an upper bound for the expected revenue loss under such policies when compared to the optimal policy. Using this bound, we construct a schedule of re-solving times such that the resulting expected revenue loss, obtained by re-solving the DLP at these times and implementing the solution as a probabilistic scheme, is bounded by a constant that is independent of the size of the problem.