MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Approximation algorithms and hardness results for the joint replenishment Problepm with constant demands

Author(s)
Telha Cornejo, Claudio A.; Schulz, Andreas S
Thumbnail
DownloadSchulz_Approximation algoithms.pdf (286.9Kb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/
Metadata
Show full item record
Abstract
In the Joint Replenishment Problem (JRP), the goal is to coordinate the replenishments of a collection of goods over time so that continuous demands are satisfied with minimum overall ordering and holding costs. We consider the case when demand rates are constant. Our main contribution is the first hardness result for any variant of JRP with constant demands. When replenishments per commodity are required to be periodic and the time horizon is infinite (which corresponds to the so-called general integer model with correction factor), we show that finding an optimal replenishment policy is at least as hard as integer factorization. This result provides the first theoretical evidence that the JRP with constant demands may have no polynomial-time algorithm and that relaxations and heuristics are called for. We then show that a simple modification of an algorithm by Wildeman et al. (1997) for the JRP gives a fully polynomial-time approximation scheme for the general integer model (without correction factor). We also extend their algorithm to the finite horizon case, achieving an approximation guarantee asymptotically equal to √9/8.
Description
19th Annual European Symposium, Saarbrücken, Germany, September 5-9, 2011. Proceedings
Date issued
2011-09
URI
http://hdl.handle.net/1721.1/76217
Department
Massachusetts Institute of Technology. Operations Research Center; Sloan School of Management
Journal
Algorithms – ESA 2011
Publisher
Springer-Verlag
Citation
Schulz, Andreas S., and Claudio Telha. “Approximation Algorithms and Hardness Results for the Joint Replenishment Problem with Constant Demands.” Algorithms – ESA 2011. Ed. Camil Demetrescu & Magnús M. Halldórsson. LNCS Vol. 6942. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. 628–639.
Version: Author's final manuscript
ISBN
978-3-642-23718-8
978-3-642-23719-5

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.