Time-Constrained Restless Bandits and the Knapsack Problem for Perishable Items
نویسندگان
چکیده
Motivated by a food promotion problem, we introduce the Knapsack Problem for Perishable Items (KPPI) to address a dynamic problem of optimally filling a knapsack with items that disappear randomly. The KPPI naturally bridges the gap and elucidates the relation between the pspace-hard restless bandit problem and the np-hard knapsack problem. Our main result is a problem decomposition method resulting in an approximate transformation of the KPPI into an associated 0-1 knapsack problem. The approach is based on calculating explicitly the marginal productivity indices in a generic finite-horizon restless bandit subproblem.
منابع مشابه
Time-Constrained Restless Bandits and the Knapsack Problem for Perishable Items (Extended Abstract)
Motivated by a food promotion problem, we introduce the Knapsack Problem for Perishable Items (KPPI) to address a dynamic problem of optimally filling a knapsack with items that disappear randomly. The KPPI naturally bridges the gap and elucidates the relation between the pspace-hard restless bandit problem and the np-hard knapsack problem. Our main result is a problem decomposition method resu...
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