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On the complexity of project scheduling to minimize exposed time

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  • Pinker, Edieal
  • Szmerekovsky, Joseph
  • Tilson, Vera

Abstract

We consider project scheduling where the project manager’s objective is to minimize the time from when an adversary discovers the project until the completion of the project. We analyze the complexity of the problem identifying both polynomially solvable and NP-hard versions of the problem. The complexity of the problem is seen to be dependent on the nature of renewable resource constraints, precedence constraints, and the ability to crash activities in the project.

Suggested Citation

  • Pinker, Edieal & Szmerekovsky, Joseph & Tilson, Vera, 2014. "On the complexity of project scheduling to minimize exposed time," European Journal of Operational Research, Elsevier, vol. 237(2), pages 448-453.
    • Handle: RePEc:eee:ejores:v:237:y:2014:i:2:p:448-453
    DOI: 10.1016/j.ejor.2014.02.013
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    References listed on IDEAS

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    1. D. S. Johnson & K. A. Niemi, 1983. "On Knapsacks, Partitions, and a New Dynamic Programming Technique for Trees," Mathematics of Operations Research, INFORMS, vol. 8(1), pages 1-14, February.
    2. Salah E. Elmaghraby & Jerzy Kamburowski, 1992. "The Analysis of Activity Networks Under Generalized Precedence Relations (GPRs)," Management Science, INFORMS, vol. 38(9), pages 1245-1263, September.
    3. Gerald G. Brown & W. Matthew Carlyle & Robert C. Harney & Eric M. Skroch & R. Kevin Wood, 2009. "Interdicting a Nuclear-Weapons Project," Operations Research, INFORMS, vol. 57(4), pages 866-877, August.
    4. Edieal Pinker & Joseph Szmerekovsky & Vera Tilson, 2013. "Technical Note---Managing a Secret Project," Operations Research, INFORMS, vol. 61(1), pages 65-72, February.
    5. Averbakh, Igor, 2010. "Nash equilibria in competitive project scheduling," European Journal of Operational Research, Elsevier, vol. 205(3), pages 552-556, September.
    6. You, Byungjun & Yamada, Takeo, 2007. "A pegging approach to the precedence-constrained knapsack problem," European Journal of Operational Research, Elsevier, vol. 183(2), pages 618-632, December.
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    Cited by:

    1. Fanrong Xie & Anuj Sharma & Zuoan Li, 2022. "An alternate approach to solve two-level priority based assignment problem," Computational Optimization and Applications, Springer, vol. 81(2), pages 613-656, March.
    2. Szmerekovsky, Joseph G. & Venkateshan, Prahalad & Simonson, Peter D., 2023. "Project scheduling under the threat of catastrophic disruption," European Journal of Operational Research, Elsevier, vol. 309(2), pages 784-794.
    3. Ben Hermans & Herbert Hamers & Roel Leus & Roy Lindelauf, 2019. "Timely exposure of a secret project: Which activities to monitor?," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 451-468, September.
    4. Prabhjot Kaur & Kalpana Dahiya & Vanita Verma, 2021. "Time-cost trade-off analysis of a priority based assignment problem," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 448-482, June.
    5. Hermans, Ben & Leus, Roel & Looy, Bart Van, 2023. "Deciding on scheduling, secrecy, and patenting during the new product development process: The relevance of project planning models," Omega, Elsevier, vol. 116(C).

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