A parallel machine lot-sizing and scheduling problem with a secondary resource and cumulative demand

References

• Buschkühl, L., F. Sahling, S. Helber, and H. Tempelmeier. 2010. “Dynamic Capacitated Lot-sizing Problems: A Classification and Review of Solution Approaches.” OR Spectrum 32 (2): 231–261.
   Web of Science ®Google Scholar
• Copil, K., M. Wörbelauer, H. Meyr, and H. Tempelmeier. 2017. “Simultaneous Lotsizing and Scheduling Problems: A Classification and Review of Models.” OR Spectrum 39 (1): 1–64.
   Web of Science ®Google Scholar
• Drexl, A., and A. Kimms. 1997. “Lot sizing and Scheduling -- Survey and Extensions.” European Journal of Operational Research 99 (2): 221–235.
   Web of Science ®Google Scholar
• Eppen, G. D., and R. K. Martin. 1987. “Solving Multi-item Capacitated Lot-sizing Problems Using Variable Redefinition.” Operations Research 35 (6): 832–848.
   Web of Science ®Google Scholar
• Fiorotto, D. J., and S. A. de Araujo. 2014. “Reformulation and a Lagrangian Heuristic for Lot Sizing Problem on Parallel Machines.” Annals of Operations Research 217 (1): 213–231.
   Web of Science ®Google Scholar
• Gicquel, C., M. Minoux, and Y. Dallery. 2011. “Exact Solution Approaches for the Discrete Lot-sizing and Scheduling Problem with Parallel Resources.” International Journal of Production Research 49 (9): 2587–2603.
   Web of Science ®Google Scholar
• Gicquel, C., L. A. Wolsey, and M. Minoux. 2012. “On Discrete Lot-sizing and Scheduling on Identical Parallel Machines.” Optimization Letters 6 (3): 545–557.
   Web of Science ®Google Scholar
• Jans, R. 2009. “Solving Lot-sizing Problems on Parallel Identical Machines Using symmetry-breaking Constraints.” INFORMS Journal on Computing 21 (1): 123–136.
   Web of Science ®Google Scholar
• Jans, R., and Z. Degraeve. 2004. “An Industrial Extension of the Discrete Lot-sizing and Scheduling Problem.” IIE Transactions 36 (1): 47–58.
   Web of Science ®Google Scholar
• Jans, R., and Z. Degraeve. 2008. “Modeling Industrial Lot Sizing Problems: A Review.” International Journal of Production Research 46 (6): 1619–1643.
   Web of Science ®Google Scholar
• Jordan, C. 1996. Batching and Scheduling. Berlin: Springer.
   Google Scholar
• Kaczmarczyk, W. 2011. “Proportional Lot-sizing and Scheduling Problem with Identical Parallel Machines.” International Journal of Production Research 49 (9): 2605–2623.
   Web of Science ®Google Scholar
• Karimi, B., S. M. T. Fatemi Ghomi, and J. M. Wilson. 2003. “The Capacitated Lot Sizing Problem: A Review of Models and Algorithms.” Omega 31 (5): 365–378.
   Web of Science ®Google Scholar
• Kimms, A. 1997. Multi-level Lot Sizing and Scheduling. Heidelberg: Physica-Verlag.
   Google Scholar
• Lasdon, L. S., and R. C. Terjung. 1971. “An Efficient Algorithm for Multi-item Scheduling.” Operations Research 19 (4): 946–969.
   Web of Science ®Google Scholar
• Pochet, Y., and L. A. Wolsey. 2006. Production Planning by Mixed Integer Programming. New York: Springer.
   Google Scholar
• Quadt, D. 2004. Lot-sizing and Scheduling for Flexible Flow Lines. Berlin: Springer.
   Google Scholar
• Quadt, D., and H. Kuhn. 2007. “A Taxonomy of Flexible Flow Line Scheduling Procedures.” European Journal of Operational Research 178 (3): 686–698.
   Web of Science ®Google Scholar
• Quadt, D., and H. Kuhn. 2009. “Capacitated Lot-sizing and Scheduling with Parallel Machines, Back-orders, and Setup Carry-over.” Naval Research Logistics 56 (4): 366–384.
   Web of Science ®Google Scholar
• Seeanner, F. 2013. Multi-stage Simultaneous Lot-sizing and Scheduling. Wiesbaden: Springer Gabler.
   Google Scholar
• Sherali, H. D., and J. C. Smith. 2001. “Improving Discrete Model Representations via Symmetry Considerations.” Management Science 47 (10): 1396–1407.
   Web of Science ®Google Scholar
• Suerie, C. 2005. Time Continuity in Discrete Time Models. Berlin: Springer.
   Google Scholar
• van Eijl, C. A., and C. P. M. van Hoesel. 1997. “On the Discrete Lot-sizing and Scheduling Problem with Wagner-Whitin Costs.” Operations Research Letters 20 (1): 7–13.
   Web of Science ®Google Scholar
• Vanderbeck, F., and L. A. Wolsey. 1992. “Valid Inequalities for the Lasdon-Terjung Production Model.” The Journal of the Operational Research Society 43 (5): 435–441.
   Web of Science ®Google Scholar
• Zhu, X., and W. E. Wilhelm. 2006. “Scheduling and Lot Sizing with Sequence-dependent Setup: A Literature Review.” IIE Transactions 38 (11): 987–1007.
   Web of Science ®Google Scholar