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Duality and Existence of Optimal Policies in Generalized Joint Replenishment.
- Source :
- Mathematics of Operations Research; Feb2005, Vol. 30 Issue 1, p28-50, 23p, 2 Diagrams, 1 Chart
- Publication Year :
- 2005
-
Abstract
- We establish a duality theory for a broad class of deterministic inventory control problems on continuous spaces that includes the classical joint replenishment problem and inventory routing. Using this theory, we establish the existence of an optimal policy, which has been an open question. We show how a primal-dual pair of infinite dimensional linear programs encode both cyclic and noncyclic schedules, and provide various results regarding cyclic schedules, including an example showing that they need not be optimal. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR programming
MATRICES (Mathematics)
MATHEMATICAL programming
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0364765X
- Volume :
- 30
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Mathematics of Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 16387922
- Full Text :
- https://doi.org/10.1287/moor.1040.0109