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Optimizing high-level nuclear waste disposal within a deep geologic repository

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Listed:
  • Benjamin Johnson

    (Colorado School of Mines)

  • Alexandra Newman

    (Colorado School of Mines)

  • Jeffrey King

    (Colorado School of Mines)

Abstract

Many countries produce significant quantities of nuclear waste which will have to be permanently and safely placed in a repository. We develop a mixed integer program that determines where to place each waste package of a specific waste type in a given time period with the goal of minimizing heat load concentration within a repository. Operational constraints include: (1) heat load limitations, (2) location and time at which waste packages can be placed, and (3) the number of waste packages that must be placed based on type and time period. Although applicable to other settings, we use the Yucca Mountain repository in Nevada as a case study. Each of the three objectives used for minimizing heat load concentration improves upon existing greedy and sequential filling methods. Existing filling methods give at least a 17 % to an 873 % higher, i.e., worse, heat load concentration in the repository with respect to these objectives than do optimal methods. Enhancements, i.e., symmetry reduction constraints, perturbations, and heuristics, increase the size of solvable problem instances. This research can be applied to any deep geologic repository planned for operation around the world with slight modifications to incorporate site-specific objectives and constraints.

Suggested Citation

  • Benjamin Johnson & Alexandra Newman & Jeffrey King, 2017. "Optimizing high-level nuclear waste disposal within a deep geologic repository," Annals of Operations Research, Springer, vol. 253(2), pages 733-755, June.
  • Handle: RePEc:spr:annopr:v:253:y:2017:i:2:d:10.1007_s10479-016-2194-4
    DOI: 10.1007/s10479-016-2194-4
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    References listed on IDEAS

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    1. Renaud Chicoisne & Daniel Espinoza & Marcos Goycoolea & Eduardo Moreno & Enrique Rubio, 2012. "A New Algorithm for the Open-Pit Mine Production Scheduling Problem," Operations Research, INFORMS, vol. 60(3), pages 517-528, June.
    2. Giannikos, Ioannis, 1998. "A multiobjective programming model for locating treatment sites and routing hazardous wastes," European Journal of Operational Research, Elsevier, vol. 104(2), pages 333-342, January.
    3. Tung, Dang Vu & Pinnoi, Anulark, 2000. "Vehicle routing-scheduling for waste collection in Hanoi," European Journal of Operational Research, Elsevier, vol. 125(3), pages 449-468, September.
    4. W. Lambert & A. Newman, 2014. "Tailored Lagrangian Relaxation for the open pit block sequencing problem," Annals of Operations Research, Springer, vol. 222(1), pages 419-438, November.
    5. Gerald Brown & Joseph Keegan & Brian Vigus & Kevin Wood, 2001. "The Kellogg Company Optimizes Production, Inventory, and Distribution," Interfaces, INFORMS, vol. 31(6), pages 1-15, December.
    6. Kouichi Taji & Jason K. Levy & Jens Hartmann & Michelle L. Bell & Richard M. Anderson & Benjamin F. Hobbs & Tom Feglar, 2005. "Identifying potential repositories for radioactive waste: multiple criteria decision analysis and critical infrastructure systems," International Journal of Critical Infrastructures, Inderscience Enterprises Ltd, vol. 1(4), pages 404-422.
    7. A. M. Geoffrion & R. Nauss, 1977. "Exceptional Paper--Parametric and Postoptimality Analysis in Integer Linear Programming," Management Science, INFORMS, vol. 23(5), pages 453-466, January.
    8. Hanif D. Sherali & J. Cole Smith, 2001. "Improving Discrete Model Representations via Symmetry Considerations," Management Science, INFORMS, vol. 47(10), pages 1396-1407, October.
    9. Daniel Espinoza & Marcos Goycoolea & Eduardo Moreno & Alexandra Newman, 2013. "MineLib: a library of open pit mining problems," Annals of Operations Research, Springer, vol. 206(1), pages 93-114, July.
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    Cited by:

    1. Outi Montonen & Ville-Pekka Eronen & Timo Ranta & Jani A. S. Huttunen & Marko M. Mäkelä, 2020. "Multiobjective Mixed Integer Nonlinear Model to Plan the Schedule for the Final Disposal of the Spent Nuclear Fuel in Finland," Mathematics, MDPI, vol. 8(4), pages 1-29, April.
    2. Jānis Krūmiņš & Māris Kļaviņš, 2023. "Investigating the Potential of Nuclear Energy in Achieving a Carbon-Free Energy Future," Energies, MDPI, vol. 16(9), pages 1-31, April.
    3. Pablo Fernández-Arias & Diego Vergara & Álvaro Antón-Sancho, 2023. "Global Review of International Nuclear Waste Management," Energies, MDPI, vol. 16(17), pages 1-18, August.

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