Single machine scheduling to minimize total weighted earliness subject to minimal number of tardy jobs
Motivated by just-in-time manufacturing, we consider a single machine scheduling problem with dual criteria, i.e., the minimization of the total weighted earliness subject to minimum number of tardy jobs. We discuss several dominance properties of optimal solutions. We then develop a heuristic algorithm with time complexity O(n3) and a branch and bound algorithm to solve the problem. The computational experiments show that the heuristic algorithm is effective in terms of solution quality in many instances while the branch and bound algorithm is efficient for medium-size problems.
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- Guner, Ertan & Erol, Serpil & Tani, Kazuo, 1998. "One machine scheduling to minimize the maximum earliness with minimum number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 55(2), pages 213-219, July.
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- Hino, Celso M. & Ronconi, Debora P. & Mendes, Andre B., 2005. "Minimizing earliness and tardiness penalties in a single-machine problem with a common due date," European Journal of Operational Research, Elsevier, vol. 160(1), pages 190-201, January.
- Pathumnakul, Supachai & Egbelu, Pius J., 2005. "Algorithm for minimizing weighted earliness penalty in single-machine problem," European Journal of Operational Research, Elsevier, vol. 161(3), pages 780-796, March.
- Koksalan, Murat & Burak Keha, Ahmet, 2003. "Using genetic algorithms for single-machine bicriteria scheduling problems," European Journal of Operational Research, Elsevier, vol. 145(3), pages 543-556, March.
- Chen, Chuen-Lung & Bulfin, Robert L., 1993. "Complexity of single machine, multi-criteria scheduling problems," European Journal of Operational Research, Elsevier, vol. 70(1), pages 115-125, October.
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