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Management Models and Industrial Applications of Linear Programming

Author

Listed:
  • A. Charnes

    (Purdue University and Carnegie Institute of Technology)

  • W. W. Cooper

    (Purdue University and Carnegie Institute of Technology)

Abstract

An accelerating increase in linear programming applications to industrial problems has made it virtually impossible to keep abreast of them, not only because of their number (and diversity) but also because of the conditions under which many are carried out. Industrial (and governmental) secrecy is often present. Other conditions also bar access to ascertainment and assessment of the pattern of applications. Lack of a tradition for publication is one. Failure to ascertain the general significance of particular findings is another, as is discouragement arising from the fact that similar applications have previously been published by others. Immediate remedies are not available for these difficulties. Presumably conventions such as this will help, over a period of time, by encouraging informal contacts between interested persons. A talk on "industrial applications of linear programming" must be altered to suit these circumstances. In place of a survey or evaluation of industrial studies, two broad issues which are relevant to all such applications will be discussed. These are, (1) use of linear programming models as guides to data collection and (2) analysis (and prognosis) of fruitful areas of additional research, especially those which appear to have been opened by industrial applications.

Suggested Citation

  • A. Charnes & W. W. Cooper, 1957. "Management Models and Industrial Applications of Linear Programming," Management Science, INFORMS, vol. 4(1), pages 38-91, October.
    • Handle: RePEc:inm:ormnsc:v:4:y:1957:i:1:p:38-91
    DOI: 10.1287/mnsc.4.1.38
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    1. Bowlin, W. F., 1995. "A characterization of the financial condition of the United States' aerospace-defense industrial base," Omega, Elsevier, vol. 23(5), pages 539-555, October.
    2. Sinuany-Stern, Zilla, 2023. "Foundations of operations research: From linear programming to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1069-1080.
    3. Mahboubeh Farid & Hampus Hallman & Mikael Palmblad & Johannes Vänngård, 2021. "Multi-Objective Pharmaceutical Portfolio Optimization under Uncertainty of Cost and Return," Mathematics, MDPI, vol. 9(18), pages 1-11, September.
    4. Constantin Zopounidis & Michalis Doumpos & Dimitrios Niklis, 2018. "Financial decision support: an overview of developments and recent trends," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 63-76, June.
    5. Russell, Arya & Taghipour, Sharareh, 2019. "Multi-objective optimization of complex scheduling problems in low-volume low-variety production systems," International Journal of Production Economics, Elsevier, vol. 208(C), pages 1-16.
    6. Gezen, Mesliha & Karaaslan, Abdulkerim, 2022. "Energy planning based on Vision-2023 of Turkey with a goal programming under fuzzy multi-objectives," Energy, Elsevier, vol. 261(PA).
    7. James G. March, 2007. "Perspective---Scholarship, Scholarly Institutions, and Scholarly Communities," Organization Science, INFORMS, vol. 18(3), pages 537-542, June.
    8. Sankar Kumar Roy & Gurupada Maity & Gerhard Wilhelm Weber & Sirma Zeynep Alparslan Gök, 2017. "Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal," Annals of Operations Research, Springer, vol. 253(1), pages 599-620, June.
    9. Zhu, Kai & Ji, Kaiyuan & Shen, Jiayu, 2021. "A fixed charge transportation problem with damageable items under uncertain environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    10. Glover, Fred & Sueyoshi, Toshiyuki, 2009. "Contributions of Professor William W. Cooper in Operations Research and Management Science," European Journal of Operational Research, Elsevier, vol. 197(1), pages 1-16, August.
    11. Ensafian, Hamidreza & Yaghoubi, Saeed, 2017. "Robust optimization model for integrated procurement, production and distribution in platelet supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 32-55.
    12. Hanks, Robert W. & Weir, Jeffery D. & Lunday, Brian J., 2017. "Robust goal programming using different robustness echelons via norm-based and ellipsoidal uncertainty sets," European Journal of Operational Research, Elsevier, vol. 262(2), pages 636-646.
    13. Ravshanbek Khodzhimatov & Stephan Leitner & Friederike Wall, 2021. "Interactions between social norms and incentive mechanisms in organizations," Papers 2102.12309, arXiv.org.
    14. Christoph Burmann & Fernando García & Francisco Guijarro & Javier Oliver, 2021. "Ranking the Performance of Universities: The Role of Sustainability," Sustainability, MDPI, vol. 13(23), pages 1-16, November.
    15. Liang-chuan Wu & I-chan Tsai, 2014. "Three fuzzy goal programming models for index portfolios," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(8), pages 1155-1169, August.
    16. Giri, Binoy Krishna & Roy, Sankar Kumar, 2024. "Fuzzy-random robust flexible programming on sustainable closed-loop renewable energy supply chain," Applied Energy, Elsevier, vol. 363(C).
    17. Seyed Babak Ebrahimi & Ehsan Bagheri, 2022. "A multi-objective formulation for the closed-loop plastic supply chain under uncertainty," Operational Research, Springer, vol. 22(5), pages 4725-4768, November.
    18. Fernando García & Francisco Guijarro & Javier Oliver, 2021. "A Multicriteria Goal Programming Model for Ranking Universities," Mathematics, MDPI, vol. 9(5), pages 1-17, February.
    19. Mila Bravo & Dylan Jones & David Pla-Santamaria & Francisco Salas-Molina, 2022. "Encompassing statistically unquantifiable randomness in goal programming: an application to portfolio selection," Operational Research, Springer, vol. 22(5), pages 5685-5706, November.
    20. Zhuang, Zheng-Yun & Chung, Cheng-Kung, 2024. "Dissecting the visiting willingness of driving visitors facing a retail market's dual-pricing policy for parking," Journal of Retailing and Consumer Services, Elsevier, vol. 78(C).
    21. Bhatia, Vinod & Sharma, Seema, 2021. "Expense based performance analysis and resource rationalization: Case of Indian Railways," Socio-Economic Planning Sciences, Elsevier, vol. 76(C).
    22. Meltem Denizel & Behlul Usdiken & Deniz Tuncalp, 2003. "Drift or Shift? Continuity, Change, and International Variation in Knowledge Production in OR/MS," Operations Research, INFORMS, vol. 51(5), pages 711-720, October.
    23. Peiyu Zhang & Yankui Liu & Guoqing Yang & Guoqing Zhang, 2022. "A multi-objective distributionally robust model for sustainable last mile relief network design problem," Annals of Operations Research, Springer, vol. 309(2), pages 689-730, February.

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