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Submodularity and the traveling salesman problem

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  • Herer, Yale T.

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  • Herer, Yale T., 1999. "Submodularity and the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 489-508, May.
    • Handle: RePEc:eee:ejores:v:114:y:1999:i:3:p:489-508
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    References listed on IDEAS

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    1. Barros, A. I. & Labbe, M., 1993. "The multi-level uncapacitated facility location problem is not submodular," European Journal of Operational Research, Elsevier, vol. 71(1), pages 130-132, November.
    2. Merrill M. Flood, 1956. "The Traveling-Salesman Problem," Operations Research, INFORMS, vol. 4(1), pages 61-75, February.
    3. M. Haimovich & A. H. G. Rinnooy Kan, 1985. "Bounds and Heuristics for Capacitated Routing Problems," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 527-542, November.
    4. A. Federgruen & M. Queyranne & Yu-Sheng Zheng, 1992. "Simple Power-of-Two Policies are Close to Optimal in a General Class of Production/Distribution Networks with General Joint Setup Costs," Mathematics of Operations Research, INFORMS, vol. 17(4), pages 951-963, November.
    5. Yoshiyuki Karuno & Hiroshi Nagamochi & Toshihide Ibaraki, 1997. "Vehicle scheduling on a tree with release and handling times," Annals of Operations Research, Springer, vol. 69(0), pages 193-207, January.
    6. Robin Roundy, 1985. "98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems," Management Science, INFORMS, vol. 31(11), pages 1416-1430, November.
    7. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    8. Robin Roundy, 1986. "A 98%-Effective Lot-Sizing Rule for a Multi-Product, Multi-Stage Production / Inventory System," Mathematics of Operations Research, INFORMS, vol. 11(4), pages 699-727, November.
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    Cited by:

    1. Yu Zhang & Vidyadhar Kulkarni, 2018. "Automated Teller Machine Replenishment Policies with Submodular Costs," Manufacturing & Service Operations Management, INFORMS, vol. 20(3), pages 517-530, July.

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