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Mathematical Methods of Organizing and Planning Production

Author

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  • L. V. Kantorovich

    (Leningrad State University)

Abstract

The author of the work "Mathematical Methods of Organizing and Planning Production", Professor L. V. Kantorovich, is an eminent authority in the field of mathematics. This work is interesting from a purely mathematical point of view since it presents an original method, going beyond the limits of classical mathematical analysis, for solving extremal problems. On the other hand, this work also provides an application of mathematical methods to questions of organizing production which merits the serious attention of workers in different branches of industry. This is the English translation of the famous 1939 article by L. V. Kantorovich, originally published in Russian.

Suggested Citation

  • L. V. Kantorovich, 1960. "Mathematical Methods of Organizing and Planning Production," Management Science, INFORMS, vol. 6(4), pages 366-422, July.
  • Handle: RePEc:inm:ormnsc:v:6:y:1960:i:4:p:366-422
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    File URL: http://dx.doi.org/10.1287/mnsc.6.4.366
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    References listed on IDEAS

    as
    1. M. E. Salveson, 1956. "A Problem in Optimal Machine Loading," Management Science, INFORMS, vol. 2(3), pages 232-260, April.
    2. M. Beckman & R. Muth, 1956. "An Inventory Policy for a Case of Lagged Delivery," Management Science, INFORMS, vol. 2(2), pages 145-155, January.
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    Cited by:

    1. Valerio de Carvalho, J. M., 2002. "LP models for bin packing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 141(2), pages 253-273, September.
    2. repec:spr:scient:v:45:y:1999:i:2:d:10.1007_bf02458439 is not listed on IDEAS
    3. Koehn, Julia, 2011. "From tools to theories: The emergence of modern financial economics," Wittener Diskussionspapiere zu alten und neuen Fragen der Wirtschaftswissenschaft 16/2011, Witten/Herdecke University, Faculty of Management and Economics.
    4. Sebestyen, Joseph, 1976. "On Regional and Interregional Models of Planning for Agriculture," 1976 Conference, July 26-August 4, 1976, Nairobi, Kenya 182316, International Association of Agricultural Economists.
    5. Giuseppe Munda, 2014. "On the Use of Shadow Prices for Sustainable Well-Being Measurement," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(2), pages 911-918, September.
    6. Zalai, Ernő, 2008. "Műszaki és gazdasági hatékonyság Koopmans termeléselméletében
      [Technical and economic efficiency in Koopmans theory of production]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 3-24.
    7. Cockshott, W. Paul, 2007. "Mises, Kantorovich and Economic Computation," MPRA Paper 6063, University Library of Munich, Germany.
    8. Fayard, Didier & Zissimopoulos, Vassilis, 1995. "An approximation algorithm for solving unconstrained two-dimensional knapsack problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 618-632, August.
    9. Xie, Fanrong & Butt, Muhammad Munir & Li, Zuoan & Zhu, Linzhi, 2017. "An upper bound on the minimal total cost of the transportation problem with varying demands and supplies," Omega, Elsevier, vol. 68(C), pages 105-118.
    10. Alves, Cláudio & de Carvalho, José Valério & Clautiaux, François & Rietz, Jürgen, 2014. "Multidimensional dual-feasible functions and fast lower bounds for the vector packing problem," European Journal of Operational Research, Elsevier, vol. 233(1), pages 43-63.
    11. Hifi, Mhand, 1997. "The DH/KD algorithm: a hybrid approach for unconstrained two-dimensional cutting problems," European Journal of Operational Research, Elsevier, vol. 97(1), pages 41-52, February.
    12. Flavio Molina & Reinaldo Morabito & Silvio Alexandre de Araujo, 2016. "MIP models for production lot sizing problems with distribution costs and cargo arrangement," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, pages 1395-1407.
    13. Sankar Kumar Roy & Gurupada Maity & Gerhard-Wilhelm Weber, 2017. "Multi-objective two-stage grey transportation problem using utility function with goals," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 417-439, June.
    14. Massol, Olivier & Tchung-Ming, Stéphane, 2010. "Cooperation among liquefied natural gas suppliers: Is rationalization the sole objective?," Energy Economics, Elsevier, vol. 32(4), pages 933-947, July.
    15. Islam, Sahidul & Roy, Tapan Kumar, 2006. "A new fuzzy multi-objective programming: Entropy based geometric programming and its application of transportation problems," European Journal of Operational Research, Elsevier, vol. 173(2), pages 387-404, September.
    16. Ortmann, Frank G. & Ntene, Nthabiseng & van Vuuren, Jan H., 2010. "New and improved level heuristics for the rectangular strip packing and variable-sized bin packing problems," European Journal of Operational Research, Elsevier, vol. 203(2), pages 306-315, June.
    17. Aktin, Tülin & Özdemir, RIfat Gürcan, 2009. "An integrated approach to the one-dimensional cutting stock problem in coronary stent manufacturing," European Journal of Operational Research, Elsevier, vol. 196(2), pages 737-743, July.
    18. Gau, T. & Wascher, G., 1995. "CUTGEN1: A problem generator for the standard one-dimensional cutting stock problem," European Journal of Operational Research, Elsevier, vol. 84(3), pages 572-579, August.
    19. Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
    20. Luka Tomat & Mirko Gradišar, 2017. "One-dimensional stock cutting: optimization of usable leftovers in consecutive orders," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 473-489, June.
    21. Yu. Chernyak & A. Leonov & A. Lerner, 1987. "The constructive theory of mass behaviour," Quality & Quantity: International Journal of Methodology, Springer, vol. 21(3), pages 233-253, September.
    22. W. Paul Cockshott, 2010. "Von Mises, Kantorovich and in-natura calculation," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 7(1), pages 167-199.
    23. Franksen, Ole Immanuel & Grattan-Guinness, Ivor, 1989. "The earliest contribution to location theory? Spatio-economic equilibrium with Lamé and Clapeyron, 1829," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 31(3), pages 195-220.

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