Abstract | ||
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Suppose that you are given a pool of cottages which you have for rent for a given holiday period. People make reservation requests over the phone, requesting a cottage from some time aj to bj. Given a rental request one must decide without (complete) knowledge about future requests, whether to accept this request and make a profit that is proportional to the renting duration bj−aj or to reject it. This problem is related to the seat-reservation problem (see e.g. [J. Boyar, K.S. Larsen, The seat reservation problem, Algorithmica 25 (1999) 403–417, J. Boyar, S. Krarup, M.N. Nielsen, Seat reservation allowing seat changes, Journal of Algorithms 52 (2004) 169–192]), the difference being that the specific cottage need not be fixed upon acceptance of a request. Moreover, in [J. Boyar, K.S. Larsen, The seat reservation problem, Algorithmica 25 (1999) 403–417, J. Boyar, S. Krarup, M.N. Nielsen, Seat reservation allowing seat changes, Journal of Algorithms 52 (2004) 169–192] there is a fairness restriction: it is assumed that passengers that can be accepted must be accepted. Anyone trying to reserve a cottage for one night in the middle of the high season will find out that cottage owners are not necessarily fair (in this sense). |
Year | DOI | Venue |
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2006 | 10.1016/j.endm.2006.06.069 | Electronic Notes in Discrete Mathematics |
Keywords | Field | DocType |
Competitive analysis,Online Algorithms,Scheduling | Reservation,Randomized algorithm,Online algorithm,Scheduling (computing),Algorithm,Operations research,Phone,Adversary,Mathematics,Competitive analysis,Renting | Journal |
Volume | ISSN | Citations |
25 | 1571-0653 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Stephan Westphal | 1 | 97 | 13.41 |
Sven O. Krumke | 2 | 308 | 36.62 |
van stee | 3 | 490 | 39.87 |