Connecting MRP, MRP II and ERP — Supply Chain Production Planning Via Optimization Models

  • Stefan Voß
  • David L. Woodruff
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 76)


Supply chain management rose to prominence as a major management issue in the last decade. While the focus of managing supply chains has undergone a drastic change as a result of improved information technology, production planning remains a critical issue. We begin with optimization models that map to mrp and MRP II and end up as a basis for a planning model. In order to produce a useful model, we add extensions and ultimately arrive at models that bear little resemblance to mrp and certainly solutions for the optimization problems cannot be obtained using mrp or MRP II processing or logic. Connections with hierarchical systems for planning and detailed scheduling are outlined.


Supply Chain Planning Production Planning Optimization Models 


  1. [1]
    A. Atamtürk and D.S. Hochbaum. Capacity acquisition, subcontracting, and lot sizing. Management Science, 47: 1081–1100, 2001.CrossRefGoogle Scholar
  2. [2]
    K.R. Baker and G.D. Scudder. Sequencing with earliness and tardiness penalties: A review. Operations Research, 38: 22–36, 1990.MathSciNetzbMATHGoogle Scholar
  3. [3]
    K.R. Baker. Introduction to Sequencing and Scheduling. Wiley, New York, 1974.Google Scholar
  4. [4]
    G.R. Bitran, E.A. Haas, and A.C. Hax. Hierarchical production planning: A single stage system. Operations Research, 29: 717–743, 1981.MathSciNetzbMATHGoogle Scholar
  5. [5]
    G.R. Bitran, E.A. Haas, and A.C. Hax. Hierarchical production planning: A two stage system. Operations Research, 30: 232–251, 1982.zbMATHGoogle Scholar
  6. [6]
    G.R. Bitran and A.C. Hax. On the design of hierarchical production planning systems. Decision Sciences, 8: 28–54, 1977.Google Scholar
  7. [7]
    J. Blazewicz, K.H. Ecker, E. Pesch, G. Schmidt, and J. Weglarz. Scheduling Computer and Manufacturing Processes. Springer, Berlin, 2 edition, 2001.zbMATHGoogle Scholar
  8. [8]
    P. Chandra and M.M. Tombak. Models for the evaluation of routing and machine flexibility. European Journal of Operational Research, 60: 156–165, 1992.CrossRefGoogle Scholar
  9. [9]
    F. Chen. Stationary policies in multiechelon inventory systems with deterministic demand and backlogging. Operations Research, 46: 26–34, 1998.MathSciNetGoogle Scholar
  10. [10]
    A.R. Clark and V.A. Armentano. A heuristic for a resource-capacitated multi-stage lotsizing problem with lead times. Journal of the Operational Research Society, 46: 1208–1222, 1995.zbMATHGoogle Scholar
  11. [11]
    A. Drexl and A. Kimms. Lot sizing and scheduling — Survey and extensions. European Journal of Operational Research, 99: 221–235, 1997.CrossRefzbMATHGoogle Scholar
  12. [12]
    R. Gumaer. Beyond ERP and MRP II — Optimized planning and synchronized manufacturing. IIE Solutions, 28(9): 32–35, 1996.Google Scholar
  13. [13]
    A.C. Hax and D. Candea. Production and Inventory Management. Prentice-Hall, Englewood Cliffs, NJ, 1984.Google Scholar
  14. [14]
    A.C. Hax and H.C. Meal. Hierarchical integration of production planning and scheduling. In M.A. Geisler, editor, TIMS Studies in Management Science, volume 1: Logistics, pages 53–69, New York, 1975. North Holland/American Elsevier.Google Scholar
  15. [15]
    J. Hwang and M.R. Singh. Optimal production policies for multi-stage systems with setup costs and uncertain capacities. Management Science, 44: 1279–1294, 1998.zbMATHGoogle Scholar
  16. [16]
    M.I. Kamien and L. Li. Subcontracting, coordination, flexibility, and production smoothing in aggregate planning. Management Science, 36: 1352–1363, 1990.Google Scholar
  17. [17]
    J.J. Kanet. Mrp 96: Time to rethink manufacturing logistics. Production and Inventory Management Journal, 29(2): 57–61, 1988.Google Scholar
  18. [18]
    U.S. Karmarkar. Lot sizes, lead times and in-process inventories. Management Science, 33: 409–418, 1987.zbMATHMathSciNetGoogle Scholar
  19. [19]
    E. Katok, H.S. Lewis, and T.P. Harrison. Lot sizing in general assembly systems with setup costs, setup times, and multiple constrained resources. Management Science, 44: 859–877, 1998.zbMATHGoogle Scholar
  20. [20]
    G. Knolmayer, P. Mertens, and A. Zeier. Supply Chain Management based on SAP Systems. Springer, Berlin, 2002.Google Scholar
  21. [21]
    D.T. Koenig. Manufacturing Engineering: Principles for Optimization. Taylor & Francis, Washington, 2 edition, 1994.Google Scholar
  22. [22]
    R. Leisten. An LP-aggregation view on aggregation in multi-level production planning. Annals of Operations Research, 82: 413–434, 1998.zbMATHMathSciNetCrossRefGoogle Scholar
  23. [23]
    R. Logendran and P. Ramakrishna. A methodology for simultaneously dealing with machine duplication and part subcontracting in cellular manufacturing systems. Computers & Operations Research, 24: 97–116, 1997.CrossRefzbMATHGoogle Scholar
  24. [24]
    M. Luscombe. MRP II: Integrating the Business. Butterworth-Heinemann, Oxford, 1993.Google Scholar
  25. [25]
    J. Miltenburg and W. Zhang. A comparative evaluation of nine well-known algorithms for solving the cell formation problem in group technology. Journal of Operations Management, 10(1): 44–72, 1991.CrossRefGoogle Scholar
  26. [26]
    J. Orlicky. Material Requirements Planning: The New Way of Life in Production and Inventory Management. McGraw-Hill, New York, 1975.Google Scholar
  27. [27]
    M. Pinedo. Scheduling: Theory, algorithms and systems. Prentice Hall, Englewood Cliffs, 1995.zbMATHGoogle Scholar
  28. [28]
    R. Roundy. A 98%-effective lot-sizing rule for a multi-product, multi-stage production/inventory system. Mathematics of Operations Research, 11: 699–727, 1986.zbMATHMathSciNetGoogle Scholar
  29. [29]
    C.A. Schneeweiss. Hierarchies in Distributed Decision Making. Springer, New York, 1999.Google Scholar
  30. [30]
    N.C. Simpson and S.S. Erenguc. Multiple-stage production planning research: History and opportunities. International Journal of Operations and Production Management, 16(6): 25–40, 1996.CrossRefGoogle Scholar
  31. [31]
    M.L. Spearman, W.J. Hopp, and D.L. Woodruff. A hierarchical control architecture for CONWIP production systems. Journal of Manufacturing and Operations Management, 2: 147–171, 1989.Google Scholar
  32. [32]
    M.L. Spearman and W.J. Hopp. Teaching operations management from a science of manufacturing. Production and Operations Management, 7(2): 132–145, 1998.CrossRefGoogle Scholar
  33. [33]
    M.L. Spearman, D.L. Woodruff, and W.J. Hopp. CONWIP: A pull alternative to Kanban. International Journal of Production Research, 28: 879–894, 1990.Google Scholar
  34. [34]
    H. Stadtler and C. Kilger, editors. Supply Chain Management and Advanced Planning, Berlin, 2002. Springer.Google Scholar
  35. [35]
    H. Tempelmeier and M. Derstroff. A Lagrangean-based heuristic for dynamic multilevel multiitem constrained lotsizing with setup times. Management Science, 42: 738–757, 1996.zbMATHGoogle Scholar
  36. [36]
    W.W. Trigeiro, L.J. Thomas, and J.O. McClain. Capacitated lot sizing with setup times. Management Science, 35: 353–366, 1989.Google Scholar
  37. [37]
    J.A. van Mieghem. Coordinating investment, production, and subcontracting. Management Science, 45: 954–971, 1999.CrossRefGoogle Scholar
  38. [38]
    T.E. Vollmann, W.L. Berry, and D.C. Whybark. Manufacturing Planning and Control Systems. Dow Jones-Irwin, Homewood, 2 edition, 1988.Google Scholar
  39. [39]
    S. Voß and D.L. Woodruff. Supply chain planning: Is mrp a good starting point? In H. Wildemann, editor, Supply Chain Management, pages 177–203, München, 2000. TCW.Google Scholar
  40. [40]
    S. Voß and D.L. Woodruff. Introduction to Computational Optimization Models for Production Planning in a Supply Chain. Springer, Berlin, 2003.Google Scholar
  41. [41]
    T.F. Wallace. MRP II: Making it Happen. Oliver Wight Limited Publications, Essex Junction, VT, 1990.Google Scholar
  42. [42]
    O.W. Wight. Production and Inventory Management in the Computer Age. Cahners, Boston, MA, 1974.Google Scholar
  43. [43]
    L.A. Wolsey. MIP modelling of changeovers in production planning and scheduling problems. European Journal of Operational Research, 99: 154–165, 1997.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • Stefan Voß
    • 1
  • David L. Woodruff
    • 2
  1. 1.Institute of Information SystemsUniversity of HamburgGermany
  2. 2.Graduate School of ManagementUniversity of CaliforniaDavisUSA

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