Industrial Engineering and Management Systems

  • 제10권4호
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  • Pages.279-287
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  • 2011
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  • 1598-7248(pISSN)
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  • 2234-6473(eISSN)
대한산업공학회 (Korean Institute of Industrial Engineers)
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Resolution of Time and Worker Conflicts for a Single Project in a Max-Plus Linear Representation

  • Yoshida, Shotaro (Department of Management and Information Systems Engineering Nagaoka University of Technology) ;
  • Takahashi, Hirotaka (Department of Humanities Yamanashi Eiwa College) ;
  • Goto, Hiroyuki (Department of Industrial and Management Systems Hosei University)
  • 투고 : 2011.09.28
  • 심사 : 2011.10.20
  • 발행 : 2011.12.01
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초록

This research develops a framework for resolving time and worker conflicts in the Critical Chain Project Management (CCPM) method, expressed in the form of a Max-Plus Linear (MPL) system. Our previous work proposed a method for resolving time conflicts. However, in practical cases, both time and worker conflicts may occur. Hence, we propose a method for resolving both time and worker conflicts for a single project. We first consider how to detect a resource conflict. Then, we define an adjacency matrix to resolve the detected conflicts. Using the proposed method, we confirm that the resource conflict can be resolved through a numerical example.

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참고문헌

  1. Baccelli, F., Cohen, G., Olsder, G. J., and Quadrat, J. P. (1992), Synchronization and Linearity, An Algebra for Discrete Event Systems, John Wiley and Sons, New York.
  2. Cohen, G., Moller, P., Quadrat, J., and Viot, M. (1989), Algebraic tools for the performance evaluation of discrete event systems, Proceedings of the IEEE, 77, 39-59. https://doi.org/10.1109/5.21069
  3. Goldratt, E. M. (1990), Theory of Constraints: And How It Should Be Implemented, North River Pr.
  4. Goto, H. (2007), Dual representation of event-varying max-plus linear systems, International Journal of Computational Science, 1, 225-242.
  5. Heidergott, B., Olsder, G. J., and Woude, L. (2006), Max Plus at Work: Modeling and Analysis of Synchronized Systems, New Jersey, Princeton University Press.
  6. Heidergott, B. (2006), Max Plus Linear Stochastic Systems and Perturbation Analysis, New York, Springer Verlag.
  7. Kasahara, M., Takahashi, H., and Goto, H. (2009), On a buffer management policy for CCPM-MPL representation, International Journal of Computational Science, 3, 593-606
  8. Lawrence, P. L. (2005), Critical Chain Project Management, Artech House Inc.
  9. Takahashi, H., Goto, H., and Kasahara, M. (2009a), Toward the application of a critical chain project management based framework on max-plus linear systems, International Engineering and Management Systems, 8, 155-161.
  10. Takahashi, H., Goto, H., and Kasahara, M. (2009b), Application of a critical chain project management based framework on max-plus linear systems, International Journal of Computational Science, 3, 117-132.
  11. Yoshida, S., Takahashi, H., and Goto, H. (2010), Modified max-plus linear representation for inserting time buffers, Proceeding of The IEEE International Conference on Industrial Engineering and Engineering Management, 1631-1635.
  12. Yoshida, S., Takahashi, H., Goto, H. (2011), Resolution of resource conflict for a single project in max-plus linear representation, Journal of Computations and Modeling, 1, 31-47.

피인용 문헌

  1. Buffer Management Method for Multiple Projects in the CCPM-MPL Representation vol.11, pp.4, 2011, https://doi.org/10.7232/iems.2012.11.4.397
  2. Simple Representation of the Critical Chain Project Management Framework in a Max-Plus Linear Form vol.6, pp.5, 2011, https://doi.org/10.9746/jcmsi.6.341
  3. Critical Chain Design Structure Matrix Method for Construction Project Scheduling under Rework Scenarios vol.2019, pp.None, 2019, https://doi.org/10.1155/2019/1595628