A Polynomial Time OPT + 1 Algorithm for the Cutting Stock Problem with a Constant Number of Object Lengths
Published Online:14 Oct 2011https://doi.org/10.1287/moor.1110.0515
References
- , Hochbaum D. S. Approximation algorithms for bin packing: A survey. Approximation Algorithms for NP-Hard Problems (1997) (PWS Publishing Company, Boston) 46–86Google Scholar
- Linear Programming: Theory and Extensions (2003) (Springer, New York) Google Scholar
- The trim problem. Management Sci. (1957) 3(3):279–284Link, Google Scholar
- Carathéorody bounds for integer cones. Oper. Res. Lett. (2006) 34:564–568Crossref, Google Scholar
- On the bin packing problem with a fixed number of object weights. Eur. J. Oper. Res. (2007) 181:117–126Crossref, Google Scholar
- An asymptotically exact algorithm for the high-multiplicity bin packing problem. Math. Programming (2005) 104(1):21–57Crossref, Google Scholar
- A linear programming approach to the cutting stock problem. Oper. Res. (1961) 9(6):849–859Link, Google Scholar
- The ellipsoid method and its consequences in combinatorial optimization. Combinatorica (1981) 1(2):169–197Crossref, Google Scholar
- Geometric Algorithms and Combinatorial Optimization (1988) (Springer-Verlag, Berlin) Crossref, Google Scholar
- Strongly polynomial algorithms for the high multiplicity scheduling problem. Oper. Res. (1991) 39:648–653Link, Google Scholar
- On the complexity of computing determinants. Computational Complexity (2004) 13(3-4):91–130Crossref, Google Scholar
- Minkowski's convex body theorem and integer programming. Math. Oper. Res. (1987) 12(3):415–440Link, Google Scholar
- Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix. SIAM J. Comput. (1979) 8(4):499–507Crossref, Google Scholar
- An efficient approximation scheme for the one-dimensional bin packing problem. Proc. 23rd Annual Sympos. Foundations Comput. Sci. (1982) Chicago(IEEE Computer Society, Washington, DC) 312–320Google Scholar
- A polynomial algorithm in linear programming. Dokladi Akadademii Nauk SSSR (1979) 244:1093–1096[English translation: 1979. Soviet Math. Doklady 20 191–194.]Google Scholar
- Factoring polynomials with rational coefficients. Mathematische Annalen (1982) 261:515–534Crossref, Google Scholar
- Integer programming with a fixed number of variables. Math. Oper. Res. (1983) 8(4):538–548Link, Google Scholar
- The cutting stock problem and integer rounding. Math. Programming (1985) 33(1):82–92Crossref, Google Scholar
- A polynomial algorithm for multiprocessor scheduling with two job lengths. Math. Oper. Res. (2001) 26(1):31–49Link, Google Scholar
- A polynomial algorithm for integer programming covering problems satisfying the integer round-up property. Math. Programming (1982) 22:231–235Crossref, Google Scholar
- Combinatorial Optimization: Algorithms and Complexity (1982) (Prentice-Hall, Inc., Englewood Cliffs, NJ) Google Scholar
- Theory of Linear and Integer Programming (1986) (John Wiley, Chichester, UK) Google Scholar

