A continuous knapsack problem with separable convex utilities: Approximation algorithms and applications
نویسندگان
چکیده
We study a continuous knapsack problem with separable convex utilities. We show that the problem is NP-hard, and provide two simple algorithms that have worst-case performance guarantees. We consider as an application a novel subsidy allocation problem in the presence of market competition, subject to a budget constraint and upper bounds on the amount allocated to each firm, where the objective is to minimize the market price of a good. © 2014 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Oper. Res. Lett.
دوره 42 شماره
صفحات -
تاریخ انتشار 2014