Title
Unit Cost Buyback Problem.
Abstract
In this paper, we study unit cost buyback problem, i.e., the buyback problem with fixed cancellation cost for each cancelled item. The input is a sequence of elements e1,e2,...,en, each of which has a weight w(ei). We assume that weights have an upper and a lower bound, i.e., l ≤ w(ei) ≤ u for any i. Given the ith element ei, we either accept ei or reject it with no cost, subject to some constraint on the set of accepted elements. In order to accept a new element ei, we could cancel some previous selected elements at a cost which is proportional to the number of elements canceled. Our goal is to maximize the profit, i.e., the sum of the weights of elements accepted (and not canceled) minus the total cancellation cost occurred. We construct optimal online algorithms and prove that they are the best possible, when the constraint is a matroid constraint or the unweighted knapsack constraint. © 2013 Springer-Verlag.
Year
DOI
Venue
2013
10.1007/978-3-642-45030-3_41
ISAAC
Field
DocType
Volume
Matroid,Discrete mathematics,Online algorithm,Combinatorics,Upper and lower bounds,Computer science,Unit cost,Competitive algorithm,Knapsack problem,Competitive analysis
Conference
8283 LNCS
Issue
ISSN
Citations 
null
16113349
1
PageRank 
References 
Authors
0.37
11
3
Name
Order
Citations
PageRank
Yasushi Kawase14215.31
Xin Han221324.49
Kazuhisa Makino31088102.74