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Discrete models/continuous models

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  • Hall, Randolph W.

Abstract

Continuous approximations are useful in formulating models that humans can comprehend. Discrete approximations are useful in formulating models that computers can "comprehend". Applications of discrete and continuous approximations are illustrated with examples.

Suggested Citation

  • Hall, Randolph W., 1986. "Discrete models/continuous models," Omega, Elsevier, vol. 14(3), pages 213-220.
    • Handle: RePEc:eee:jomega:v:14:y:1986:i:3:p:213-220
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    Citations

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    Cited by:

    1. Tingting Cui & Yanfeng Ouyang & Zuo-Jun Max Shen, 2010. "Reliable Facility Location Design Under the Risk of Disruptions," Operations Research, INFORMS, vol. 58(4-part-1), pages 998-1011, August.
    2. Pujari, Nikhil A. & Hale, Trevor S. & Huq, Faizul, 2008. "A continuous approximation procedure for determining inventory distribution schemas within supply chains," European Journal of Operational Research, Elsevier, vol. 186(1), pages 405-422, April.
    3. Anna Franceschetti & Ola Jabali & Gilbert Laporte, 2017. "Continuous approximation models in freight distribution management," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 413-433, October.
    4. Li, Xiaopeng & Ouyang, Yanfeng, 2010. "A continuum approximation approach to reliable facility location design under correlated probabilistic disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 535-548, May.
    5. Tsao, Yu-Chung & Lu, Jye-Chyi, 2012. "A supply chain network design considering transportation cost discounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 401-414.
    6. Francis, Peter & Smilowitz, Karen, 2006. "Modeling techniques for periodic vehicle routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 872-884, December.
    7. Luca Quadrifoglio & Randolph W. Hall & Maged M. Dessouky, 2006. "Performance and Design of Mobility Allowance Shuttle Transit Services: Bounds on the Maximum Longitudinal Velocity," Transportation Science, INFORMS, vol. 40(3), pages 351-363, August.
    8. Cui, Tingting & Ouyang, Yanfeng & Shen, Zuo-Jun Max J, 2010. "Reliable Facility Location Design under the Risk of Disruptions," University of California Transportation Center, Working Papers qt5sh2c7pw, University of California Transportation Center.
    9. A Dasci & G Laporte, 2005. "An analytical approach to the facility location and capacity acquisition problem under demand uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 397-405, April.
    10. Quadrifoglio, Luca & Li, Xiugang, 2009. "A methodology to derive the critical demand density for designing and operating feeder transit services," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 922-935, December.
    11. Dasci, Abdullah & Huang, Rongbing, 2017. "A continuous approximation method for dynamic pricing problem under costly price modifications," Omega, Elsevier, vol. 72(C), pages 38-49.
    12. Yu-Chung Tsao & Qinhong Zhang & Tsung-Hui Chen, 2016. "Multi-item distribution network design problems under volume discount on transportation cost," International Journal of Production Research, Taylor & Francis Journals, vol. 54(2), pages 426-443, January.
    13. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.

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