Online Stochastic Reservation Systems

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Online Stochastic Reservation Systems
This paper considers online stochastic reservation problems, where requests come online and must be dynamically allocated to limited resources in order to maximize profit. Multi-knapsack problems with or without overbooking are examples of such online stochastic reservations. The paper studies how to adapt the online stochastic framework and the consensus and regret algorithms proposed earlier to online stochastic reservation systems. On the theoretical side, it presents a constant sub-optimality approximation of multi-knapsack problems, leading to a regret algorithm that evaluates each scenario with a single mathematical programming optimization followed by a small number of dynamic programs for onedimensional knapsacks. It also proposes several integer programming models for handling cancellations and proves their equivalence. On the experimental side, the paper demonstrates the effectiveness of the regret algorithm on multi-knapsack problems (with and without overbooking) based on ...
Pascal Van Hentenryck, Russell Bent, Yannis Vergad
Added 20 Aug 2010
Updated 20 Aug 2010
Type Conference
Year 2006
Authors Pascal Van Hentenryck, Russell Bent, Yannis Vergados
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