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Monge properties, discrete convexity and applications

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  • Burkard, Rainer E.

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  • Burkard, Rainer E., 2007. "Monge properties, discrete convexity and applications," European Journal of Operational Research, Elsevier, vol. 176(1), pages 1-14, January.
  • Handle: RePEc:eee:ejores:v:176:y:2007:i:1:p:1-14
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    References listed on IDEAS

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    1. P. C. Gilmore & R. E. Gomory, 1964. "Sequencing a One State-Variable Machine: A Solvable Case of the Traveling Salesman Problem," Operations Research, INFORMS, vol. 12(5), pages 655-679, October.
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    Cited by:

    1. He, Cheng & Lin, Yixun & Yuan, Jinjiang, 2010. "A note on the single machine scheduling to minimize the number of tardy jobs with deadlines," European Journal of Operational Research, Elsevier, vol. 201(3), pages 966-970, March.
    2. Akamatsu, Takashi & Wada, Kentaro & Iryo, Takamasa & Hayashi, Shunsuke, 2021. "A new look at departure time choice equilibrium models with heterogeneous users," Transportation Research Part B: Methodological, Elsevier, vol. 148(C), pages 152-182.
    3. Tseytlin, Yulia & Heese, H. Sebastian, 2023. "Inventory allocation with full downward substitution and monotone cost differences," European Journal of Operational Research, Elsevier, vol. 307(1), pages 130-139.
    4. Máté Hireš & Monika Molnárová & Peter Drotár, 2020. "Robustness of Interval Monge Matrices in Fuzzy Algebra," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
    5. Qi Feng & Chengzhang Li & Mengshi Lu & Jeyaveerasingam George Shanthikumar, 2022. "Dynamic Substitution for Selling Multiple Products under Supply and Demand Uncertainties," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1645-1662, April.
    6. Osawa, Minoru & Fu, Haoran & Akamatsu, Takashi, 2018. "First-best dynamic assignment of commuters with endogenous heterogeneities in a corridor network," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 811-831.
    7. F. Javier Martinez de Albeniz & Carles Rafels, 2012. "Monge assignment games," Working Papers in Economics 282, Universitat de Barcelona. Espai de Recerca en Economia.
    8. Alexander S. Estes & Michael O. Ball, 2021. "Monge Properties, Optimal Greedy Policies, and Policy Improvement for the Dynamic Stochastic Transportation Problem," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 785-807, May.
    9. Akamatsu, Takashi & Wada, Kentaro & Iryo, Takamasa & Hayashi, Shunsuke, 2018. "Departure time choice equilibrium and optimal transport problems," MPRA Paper 90361, University Library of Munich, Germany.
    10. Tseytlin, Yulia & Heese, H. Sebastian, 2019. "Allocation under a general substitution structure," European Journal of Operational Research, Elsevier, vol. 277(2), pages 492-506.

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