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On the representation of timing for different structures within MRP theory

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  • Bogataj, Marija
  • Grubbström, Robert W.

Abstract

MRP Theory has been developed during the last 25 years for capturing processes concerning multi-level, multi-stage production-inventory systems in a compact way. Input–output analysis has been used to describe structures, and Laplace transforms to describe the timing relations. This theory has mainly dealt with assembly systems, in which each item has only one successor. The lead times for the assembly of an item have usually been constants and equal for all items entering a given successor. For such systems, the equations describing the flows of components may be written to include the generalised input matrix as the product of an input matrix containing needed amounts, and a diagonal lead time matrix with lead time operators along its main diagonal.

Suggested Citation

  • Bogataj, Marija & Grubbström, Robert W., 2012. "On the representation of timing for different structures within MRP theory," International Journal of Production Economics, Elsevier, vol. 140(2), pages 749-755.
    • Handle: RePEc:eee:proeco:v:140:y:2012:i:2:p:749-755
    DOI: 10.1016/j.ijpe.2011.04.016
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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. 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.
    3. Grubbstrom, Robert W. & Wang, Zhiping, 2003. "A stochastic model of multi-level/multi-stage capacity-constrained production-inventory systems," International Journal of Production Economics, Elsevier, vol. 81(1), pages 483-494, January.
    4. Bogataj, Marija & Bogataj, Ludvik, 2001. "Supply chain coordination in spatial games," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 277-285, May.
    5. Segerstedt, Anders, 1996. "A capacity-constrained multi-level inventory and production control problem," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 449-461, August.
    6. Grubbstrom, Robert W., 1996. "Stochastic properties of a production--inventory process with planned production using transform methodology," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 407-419, August.
    7. Bogataj, Marija, 1999. "Inventory allocation and customer travelling problem in spatial duopoly," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 271-279, March.
    8. 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.
    9. Tang, Ou, 2004. "Simulated annealing in lot sizing problems," International Journal of Production Economics, Elsevier, vol. 88(2), pages 173-181, March.
    10. 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.
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    Citations

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    Cited by:

    1. Grubbström, Robert W., 2021. "Production decisions based on absolute vs. relative risk aversion and their extensions," International Journal of Production Economics, Elsevier, vol. 234(C).
    2. Kovačić, Danijel & Usenik, Janez & Bogataj, Marija, 2017. "Optimal decisions on investments in Urban Energy Cogeneration plants – Extended MRP and fuzzy approach to the stochastic systems," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 583-595.
    3. Francisco Campuzano-Bolarín & Fulgencio Marín-García & José Andrés Moreno-Nicolás & Marija Bogataj & David Bogataj, 2021. "Network Simulation Method for the evaluation of perturbed supply chains on a finite horizon," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 823-839, September.
    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 & Drobne, Samo, 2019. "Interactions between flows of human resources in functional regions and flows of inventories in dynamic processes of global supply chains," International Journal of Production Economics, Elsevier, vol. 209(C), pages 215-225.
    6. Attila Chikán & Linda G. Sprague, 2019. "A life cycle model of major innovations in operations management," International Journal of Quality Innovation, Springer, vol. 5(1), pages 1-13, December.
    7. Bogataj, D. & Aver, B. & Bogataj, M., 2016. "Supply chain risk at simultaneous robust perturbations," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 68-78.
    8. 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.
    9. 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.
    10. Bogataj, David & Battini, Daria & Calzavara, Martina & Persona, Alessandro, 2019. "The ageing workforce challenge: Investments in collaborative robots or contribution to pension schemes, from the multi-echelon perspective," International Journal of Production Economics, Elsevier, vol. 210(C), pages 97-106.
    11. Campuzano-Bolarín, Francisco & Marín-García, Fulgencio & Moreno-Nicolás, José Andrés & Bogataj, Marija & Bogataj, David, 2021. "Impacts of variable interest rates on the market areas of a spatial duopoly in supply chains operating on the finite horizon," International Journal of Production Economics, Elsevier, vol. 236(C).
    12. Sarkar, Biswajit & Guchhait, Rekha & Sarkar, Mitali & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "How does an industry manage the optimum cash flow within a smart production system with the carbon footprint and carbon emission under logistics framework?," International Journal of Production Economics, Elsevier, vol. 213(C), pages 243-257.
    13. Danijel Kovačić & Eloy Hontoria & Lorenzo Ros-McDonnell & Marija Bogataj, 2015. "Location and lead-time perturbations in multi-level assembly systems of perishable goods in Spanish baby food logistics," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 607-623, September.

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