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Multi-level production-inventory control: Material requirements planning or reorder point policies? (English) Zbl 0804.90036
Summary: This paper compares Material Requirements Planning (MRP) with reorder point policies for multi-level inventory control. For general acyclic inventory systems it is demonstrated that MRP should be ranked at the top followed by installation stock \((Q,r)\)-policies, Kanban-policies and finally order-up-to-\(S\) policies. For serial and assembly inventory systems also echelon stock \((Q,r)\)-policies are included in the ranking list, between MRP and installation stock \((Q,r)\)-policies. The results require that all policies apply the same review period. Otherwise they are quite general.

MSC:
90B05 Inventory, storage, reservoirs
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[1] Axsäter, S., Exact and approximate evaluation of batch-ordering policies for two-level inventory systems, Operations research, 41, 777-785, (1993) · Zbl 0783.90030
[2] Axsäter, S.; Rosling, K., Installation vs. echelon stock policies for multi-level inventory control, Management science, 39, 1274-1280, (1993) · Zbl 0798.90030
[3] Badinelli, R., A model for continuous-review pull policies in serial inventory systems, Operations research, 40, 142-156, (1992) · Zbl 0764.90019
[4] Buzacott, J.A.; Price, S.M.; Shantikumar, J.G., Service level in multistage MRP and base stock controlled production systems, (), 445-463
[5] Chen, F.; Zheng, Y.-S., Evaluating echelon stock (R, nq) policies in serial production/invertory systems with stochastic demand, (1992), Decision Sciences Department, The Wharton School, University of Pennsylvania Philadelphia, PA 19104, USA
[6] Clark, A.J.; Scarf, H.E., Optimal policies for a multi-echelon inventory problem, Management science, 6, 475-490, (1960)
[7] De Bodt, M.A.; Graves, S.C., Continuous review policies for a multi-echelon inventory problem with stochastic demand, Management science, 31, 1286-1295, (1985) · Zbl 0607.90024
[8] Federgruen, A.; Zipkin, P., Computational issues in an infinite-horizon, multi-echelon inventory model, Operations research, 32, 818-836, (1984) · Zbl 0546.90026
[9] Hadley, G.; Whitin, T., Analysis of inventory systems, (1963), Prentice-Hall Englewood Cliffs, NJ · Zbl 0133.42901
[10] Jacobs, F.R.; Whybark, D.C., A comparison of reorder point and material requirements planning inventory control logic, Decision sciences, 23, 332-342, (1992)
[11] Karmarkar, U.S., The multilocation, multiperiod inventory problem: bounds and approximations, Management science, 33, 86-94, (1987) · Zbl 0634.90014
[12] Kimura, O.; Terada, H., Design and analysis of a pull system, a method of multi-stage production control, International journal of production research, 19, 241-253, (1981)
[13] Krajewski, L.J.; King, B.E.; Ritzman, L.P.; Wong, D.S., Kanban, MRP and shaping the manufacturing environment, Management science, 33, 39-57, (1987)
[14] Lambrecht, M.R.; Muckstadt, J.A.; Luyten, R., Protective stocks in multi-stage production systems, International journal of production research, 22, 1001-1025, (1984) · Zbl 0551.90039
[15] Langenhoff, L.J.G.; Zijm, W.H.M., An analytical theory of multi-echelon production/distribution systems, Statistica neerlandica, 44, 149-174, (1990) · Zbl 0717.90025
[16] Orlicky, J., Materials requirements planning, (1975), McGraw-Hill New York
[17] Rees, L.P.; Huang, P.Y.; Taylor, B.W., A comparative analysis of an MRP lot-for-lot system and a kanban system for a multistage production operation, International journal of production research, 27, 1427-1443, (1989)
[18] Rosling, K., Optimal inventory policies for assembly systems under random demands, Operations research, 37, 565-579, (1989) · Zbl 0677.90025
[19] Roundy, R.O., A 98%-effective lot-sizing rule for a multi-product, multi-stage production/inventory system, Mathematics of operations research, 11, 699-727, (1986) · Zbl 0613.90041
[20] Sugimori, Y.; Kasunoki, K.; Cho, F.; Uchikawa, S., Toyota production system and kanban system, materialization of just-in-time and respect for human system, International journal of production research, 15, 553-564, (1977)
[21] Svoronos, A.; Zipkin, P., Estimating the performance of multi-level inventory systems, Operations research, 36, 57-72, (1988) · Zbl 0644.90021
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