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A mixed integer programming model for advanced planning and scheduling (APS). (English) Zbl 1121.90053
Summary: A mixed integer programming (MIP) model which succeeds in a system integration of the production planning and shop floor scheduling problems. The proposed advanced planning and scheduling (APS) model explicitly considers capacity constraints, operation sequences, lead times and due dates in a multi-order environment. The objective of the model is to seek the minimum cost of both production idle time and tardiness or earliness penalty of an order. The output of the model is operation schedules with order starting time and finish time. Numerical results show that the suggested APS model can favorably produce optimal schedules.

MSC:
90B35Scheduling theory, deterministic
90C11Mixed integer programming
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References:
[1] Agrawal, A.; Harhalakis, G.; Minis, I.; Nagi, R.: ’Just-in-time’ production of large assemblies. IIE transactions 28, No. 8, 653-667 (1996)
[2] Bahl, A. C.; Ritzman, L. P.: An integrated model for master scheduling, lot sizing and capacity requirements planning. Journal of the operational research society 35, No. 5, 389-399 (1984) · Zbl 0532.90045
[3] Baker, R.; Scudder, G. D.: Sequencing with earliness and tardiness penalties: A review. Operation research 38, No. 1, 22-36 (1990) · Zbl 0699.90052
[4] Billington, P. J.; Mcclain, J. D.; Thomas, L. J.: Mathematical programming approaches to capacity-constrained MRP systems: review, formulation and problem reduction. Management science 29, No. 10, 1126-1141 (1983) · Zbl 0519.90039
[5] Cheng, T. C. E.; Gupta, M. C.: Survey of scheduling research involving due date determination decisions. European journal of operational research 38, No. 2, 156-166 (1989) · Zbl 0658.90049
[6] Czerwinski, C. S.; Luh, P. B.: Scheduling products with bills of materials using an improved Lagrangian relaxation technique. IEEE transactions on robotics and automation 10, No. 2, 99-111 (1994)
[7] Dillenberger, C.; Escudero, L. F.; Wollensak, A.; Zhang, W.: On practical resource allocation for production planning and scheduling with period overlapping setups. European journal of operational research 75, No. 2, 275-286 (1994) · Zbl 0806.90055
[8] Faaland, B.; Schmitt, T.: Scheduling tasks with due dates in a fabrication/assembly process. Operations research 35, No. 3, 378-388 (1987)
[9] Gordon, V.; Proth, J. M.; Chu, C. B.: A survey of the state-of-the-art of common due date assignment and scheduling research. European journal of operational research 139, No. 1, 1-25 (2002) · Zbl 1009.90054
[10] Hastings, N. A. J.; Marshall, P.; Willis, R. J.: Schedule based MRP: an integrated approach to production scheduling and material requirements planning. Journal of the operational research society 3, No. 11, 1021-1029 (1982)
[11] Kim, J. U.; Kim, Y. D.: Simulated annealing and genetic algorithms for scheduling products with multi-level product structure. Computers and operations research 23, No. 9, 857-868 (1996) · Zbl 0859.90087
[12] Kolish, R.: Integration of assembly and fabrication for make-to-order production. International journal of production economics 38, No. 3, 287-306 (2000)
[13] Lasserre, J. B.: An integrated model for job-shop planning and scheduling. Management science 38, No. 8, 1201-1211 (1992) · Zbl 0761.90062
[14] Moon, C.; Kim, J. S.; Gen, M.: Advanced planning and scheduling based on precedence and resource constraints for e-plant chains. International journal of production research 42, No. 15, 2941-2955 (2004) · Zbl 1094.90560
[15] Pongcharoen, P.; Hicks, C.; Braiden, P. M.: The development of genetic algorithms for the finite capacity scheduling of complex products, with multiple levels of product structure. European journal of operational research 152, No. 1, 215-225 (2004) · Zbl 1045.90031
[16] Sum, C. C.; Hill, A. V.: A new framework for manufacturing planning and control systems. Decision sciences 24, No. 4, 739-760 (1993)
[17] Taal, M.; Wortmann, J. C.: Integrating MRP and finite capacity planning. Production planning and control 8, No. 3, 245-254 (1997)
[18] Vob, S.; Woodruff, D. L.: Introduction to computational optimization models for production planning in a supply chain. (2003)
[19] Wang, D. W.: Earliness/tardiness production planning approaches for manufacturing systems. Computers and industrial engineering 28, No. 3, 425-436 (1995)