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The space of solution alternatives in the optimal lotsizing problem for general assembly systems applying MRP theory

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  • Grubbström, Robert W.
  • Tang, Ou

Abstract

MRP Theory combines the use of Input–Output Analysis and Laplace transforms, enabling the development of a theoretical background for multi-level, multi-stage production–inventory systems together with their economic evaluation, in particular applying the Net Present Value principle (NPV).

Suggested Citation

  • Grubbström, Robert W. & Tang, Ou, 2012. "The space of solution alternatives in the optimal lotsizing problem for general assembly systems applying MRP theory," International Journal of Production Economics, Elsevier, vol. 140(2), pages 765-777.
    • Handle: RePEc:eee:proeco:v:140:y:2012:i:2:p:765-777
    DOI: 10.1016/j.ijpe.2011.01.012
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    References listed on IDEAS

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    1. Kuik, R. & Salomon, M., 1990. "Multi-level lot-sizing problem: Evaluation of a simulated-annealing heuristic," European Journal of Operational Research, Elsevier, vol. 45(1), pages 25-37, March.
    2. Grubbstrom, Robert W. & Tang, Ou, 2000. "Modelling rescheduling activities in a multi-period production-inventory system," International Journal of Production Economics, Elsevier, vol. 68(2), pages 123-135, November.
    3. Panayotis Afentakis & Bezalel Gavish, 1986. "Optimal Lot-Sizing Algorithms for Complex Product Structures," Operations Research, INFORMS, vol. 34(2), pages 237-249, April.
    4. Arthur F. Veinott, 1969. "Minimum Concave-Cost Solution of Leontief Substitution Models of Multi-Facility Inventory Systems," Operations Research, INFORMS, vol. 17(2), pages 262-291, April.
    5. Buser, Stephen A, 1986. "LaPlace Transforms as Present Value Rules: A Note," Journal of Finance, American Finance Association, vol. 41(1), pages 243-247, March.
    6. Earle Steinberg & H. Albert Napier, 1980. "Optimal Multi-Level Lot Sizing for Requirements Planning Systems," Management Science, INFORMS, vol. 26(12), pages 1258-1271, December.
    7. Wallace B. Crowston & Michael Wagner & Jack F. Williams, 1973. "Economic Lot Size Determination in Multi-Stage Assembly Systems," Management Science, INFORMS, vol. 19(5), pages 517-527, January.
    8. Grubbstrom, Robert W & Molinder, Anders, 1994. "Further theoretical considerations on the relationship between MRP, input-output analysis and multi-echelon inventory systems," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 299-311, June.
    9. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    10. Tang, Ou, 2004. "Simulated annealing in lot sizing problems," International Journal of Production Economics, Elsevier, vol. 88(2), pages 173-181, March.
    11. Panayotis Afentakis & Bezalel Gavish & Uday Karmarkar, 1984. "Computationally Efficient Optimal Solutions to the Lot-Sizing Problem in Multistage Assembly Systems," Management Science, INFORMS, vol. 30(2), pages 222-239, February.
    12. Grubbstrom, Robert W. & Ovrin, Peter, 1992. "Intertemporal generalization of the relationship between material requirements planning and input-output analysis," International Journal of Production Economics, Elsevier, vol. 26(1-3), pages 311-318, February.
    13. Bogataj, David & Bogataj, Marija, 2007. "Measuring the supply chain risk and vulnerability in frequency space," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 291-301, July.
    14. Dellaert, N. & Jeunet, J. & Jonard, N., 2000. "A genetic algorithm to solve the general multi-level lot-sizing problem with time-varying costs," International Journal of Production Economics, Elsevier, vol. 68(3), pages 241-257, December.
    15. Horvat, Liljana & Bogataj, Ludvik, 1999. "A market game with the characteristic function according to the MRP and input-output analysis model," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 281-288, March.
    16. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
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    Citations

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    Cited by:

    1. Grubbström, Robert W., 2014. "Cumulative staircase considerations for dynamic lotsizing when backlogging is allowed," International Journal of Production Economics, Elsevier, vol. 157(C), pages 201-211.
    2. Alireza Pooya & Morteza Pakdaman, 2019. "Optimal control model for finite capacity continuous MRP with deteriorating items," Journal of Intelligent Manufacturing, Springer, vol. 30(5), pages 2203-2215, June.
    3. Grubbström, Robert W., 2014. "Dynamic lotsizing with a finite production rate," International Journal of Production Economics, Elsevier, vol. 149(C), pages 68-79.
    4. Sagawa, Juliana Keiko & Mušič, Gašper, 2019. "Towards the use of bond graphs for manufacturing control: Design of controllers," International Journal of Production Economics, Elsevier, vol. 214(C), pages 53-72.
    5. Bogataj, David & Bogataj, Marija & Hudoklin, Domen, 2017. "Reprint of “Mitigating risks of perishable products in the cyber-physical systems based on the extended MRP model”," International Journal of Production Economics, Elsevier, vol. 194(C), pages 113-125.
    6. Bogataj, David & Bogataj, Marija & Hudoklin, Domen, 2017. "Mitigating risks of perishable products in the cyber-physical systems based on the extended MRP model," International Journal of Production Economics, Elsevier, vol. 193(C), pages 51-62.

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