Optimizing production and transportation in a commit-to-delivery business mode. (English) Zbl 1177.90041
Summary: In problems involving the simultaneous optimization of production and transportation, the requirement that an order can only be shipped once its production has been completed is a natural one. One example is a problem of optimizing shipping costs subject to a production capacity constraint studied recently by Stecke and Zhao. Here we present an integer programming formulation for the case in which only completed orders can be shipped that leads to very tight dual bounds and enables one to solve instances of significant size to optimality.
References:
| [1] | Chen, Z. L., Integrated production and distribution operations: Taxonomy, models and review, (Simchi-Levi, D.; Wu, S. D.; Shen, Z. J., Handbook of Quantitative Supply Chain Analysis: Modeling in the E-business Era (2004), Kluwer Academic Publishers: Kluwer Academic Publishers New York) · Zbl 1090.90503 |
| [2] | Chen, Z. L.; Vairaktaris, G. L., Integrated scheduling of production and distribution operations, Management Science, 51, 614-628 (2005) · Zbl 1145.90380 |
| [3] | De Matta, R.; Miller, T., Production and inter-facility transportation scheduling for a process industry, European Journal of Operational Research, 158, 72-88 (2004) · Zbl 1061.90041 |
| [4] | Fumero, F.; Vercelis, C., Synchronized development of production, inventory and distribution schedules, Transportation Science, 33, 330-340 (1999) · Zbl 1002.90001 |
| [5] | Danna, E.; Rothberg, E.; Le Pape, C., Exploring relaxation induced neighborhoods to improve MIP solutions, Mathematical Programming, 102, 71-90 (2005) · Zbl 1131.90036 |
| [6] | Fischetti, M.; Lodi, A., Local branching, Mathematical Programming, 98, 23-48 (2003) · Zbl 1060.90056 |
| [7] | Stecke, K. E.; Zhao, X., Production and transportation integration for a make-to-order manufacturing company with a commit-to-delivery business mode, Manufacturing and Service Operations Management, 9, 206-224 (2007) |
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