Approximation Algorithms for the Capacitated Multi-Item Lot-Sizing Problem via Flow-Cover Inequalities
Published Online:1 May 2008https://doi.org/10.1287/moor.1070.0305
References
- Capacitated facility location: Separation algorithms and computational experience. Math. Programming (1998) 81:149–175Crossref, Google Scholar
- Capacitated facility location: Valid inequalities and facets. Math. Oper. Res. (1995) 20:562–582Link, Google Scholar
- Shipping multiple-items by capacitated vehicles—An optimal dynamic programming approach. Transportation Sci. (2005) 39:233–248Link, Google Scholar
- Multi-item lot-sizing with joint set-up cost. Math. Programming (2005) . ForthcomingGoogle Scholar
- On splittable and unsplittable flow capacity network design arc-set polyhedra. Math. Programming (2002) 92:315–333Crossref, Google Scholar
- Computational complexity of the capacitated lot-size problem. Management Sci. (1982) 28:1174–1186Link, Google Scholar
- A primal-dual 2-approximation algorithm the single-demand fixed-charge minimum-cost flow problem. (2006) . Working paperGoogle Scholar
- , Lodi A., Panconesi A., Rinaldi G. A primal-dual schema for capacitated covering problems. Integer Programming and Combinatorial Optimization, Lecture Notes in Computer Science (2008) 5035(Springer, Berlin) 288–302Crossref, Google Scholar
- Strengthening integrality gaps for capacitated network design and covering problems. Proc. 11th ACM/SIAM Sympos. Discrete Algorithms (SODA) (2000) 106–115Google Scholar
- Algorithms for capacitated rectangle stabbing and lot-sizing with joint set-up costs. Trans. Algorithms (2008) . ForthcomingCrossref, Google Scholar
- Probabilistic analysis of multi-item capacitated lot sizing problems. (2004) . Working paperGoogle Scholar
- Progressive interval heuristics for the multi-item capacitated lot sizing problem. Oper. Res. (2007) 55:490–502Link, Google Scholar
- Deterministic production planning: Algorithms and complexity. Management Sci. (1980) 26:669–679Link, Google Scholar
- Computers and Intractability. A Guide to the Theory of NP-Completeness (1979) (W. H. Freeman and Co., San Francisco) Google Scholar
- Valid inequalities and facets of the capacitated plant location problem. Math. Programming (1989) 44:271–291Crossref, Google Scholar
- Primal-dual algorithms for deterministic inventory problems. Math. Oper. Res. (2006) 31:267–284Link, Google Scholar
- First constant approximation algorithm for the single-warehouse multi-retailer problem. Management Sci. (2008) 54(4):762–776Link, Google Scholar
- The convex hull of two core capacitated network design problems. Math. Programming (1993) 60:233–250Crossref, Google Scholar
- Integer Programming and Combinatorial Optimization (1988) (Wiley-Interscience, New York) Google Scholar
- Valid inequalities for fixed charge problems. Oper. Res. (1985) 33:842–861Link, Google Scholar
- Lot-sizing with constant batches: Formulation and valid inequalities. Math. Oper. Res. (1993) 18:767–785Link, Google Scholar
- Production Planning by Mixed Integer Programming (2006) (Springer-Verlag, Berlin) Google Scholar
- Fully polynomial approximation schemes for single-item capacitated economic lot-sizing problems. Math. Oper. Res. (2001) 26:339–357Link, Google Scholar

