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

作者：Jasin Stefanus^*; Kumar Sunil

来源：Mathematics of Operations Research, 2012, 37(2): 313-345.

DOI：10.1287/moor.1120.0537

• revenue management
• customer choice
• asymptotic optimality
• reoptimization

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.

• 出版日期2012-5