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A note on “Coordination of production and distribution planning” by P. Chandra and M. L. Fisher. (English) Zbl 1167.90363

Summary: We give a counterexample to illustrate that a key theorem in the paper entitled “Coordination of production and distribution planning” by P. Chandra and M. L. Fisher [Eur. J. Oper. Res. 72, No. 3, 503–517 (1994; Zbl 0805.90051)] is not correct, and then analyze where an error occurs in the proof of the theorem.

MSC:

90B05 Inventory, storage, reservoirs
90B06 Transportation, logistics and supply chain management
90B30 Production models
90B35 Deterministic scheduling theory in operations research

Citations:

Zbl 0805.90051
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Full Text: DOI

References:

[1] Chandra, P.; Fisher, M.L., Coordination of production and distribution planning, European journal of operational research, 72, 503-517, (1994) · Zbl 0805.90051
[2] Fisher, M.L., Optimal solution of vehicle routing problems using minimum k-trees, Operations research, 42, 626-642, (1994) · Zbl 0815.90066
[3] Laporte, G.; Nobert, Y.; Desrouchers, M., Optimal routing with capacity and distance restrictions, Operations research, 33, 1050-1073, (1985) · Zbl 0575.90039
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