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A polynomial algorithm for the earthwork allocation problem with borrow and waste site selection

Author

Listed:
  • Hüseyin Güden

    (Eastern Mediterranean University)

  • Haldun Süral

    (Middle East Technical University)

Abstract

In road construction projects, earthwork is planned together with horizontal and vertical alignments. This study focuses on earthwork operations that basically include cutting the hills and filling the holes on the road path. The candidate borrow and waste sites can also be used to obtain or heap earth when the available cut and fill amounts are not balanced or operating these sites reduces the total earthwork cost. Total earthwork cost contains the transportation cost and the overall cost related to opening the candidate sites. The problem is to determine which borrow and waste sites to operate, and the earth flows between cut, fill, waste, and borrow sites such that the total cost is minimized. It is shown that the problem is a generalization of the well-known lot-sizing problem. A fixed charge network flow problem formulation is presented, and a polynomial time dynamic programming algorithm is developed for solving the problem.

Suggested Citation

  • Hüseyin Güden & Haldun Süral, 2017. "A polynomial algorithm for the earthwork allocation problem with borrow and waste site selection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1085-1093, September.
  • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:9:d:10.1057_s41274-016-0140-0
    DOI: 10.1057/s41274-016-0140-0
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    References listed on IDEAS

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    1. Burdett, R.L. & Kozan, E., 2014. "An integrated approach for earthwork allocation, sequencing and routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 741-759.
    2. POCHET, Yves & WOLSEY, Laurence A., 1988. "Lot-size models with backlogging: strong reformulations and cutting planes," LIDAM Reprints CORE 791, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Willard I. Zangwill, 1969. "A Backlogging Model and a Multi-Echelon Model of a Dynamic Economic Lot Size Production System--A Network Approach," Management Science, INFORMS, vol. 15(9), pages 506-527, May.
    4. C H Cheng & M S Madan & Y Gupta & S So, 2001. "Solving the capacitated lot-sizing problem with backorder consideration," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 952-959, August.
    5. Prakash Mirchandani & Rajeev Kohli & Arie Tamir, 1996. "Capacitated Location Problems on a Line," Transportation Science, INFORMS, vol. 30(1), pages 75-80, February.
    6. Jack Brimberg & Abraham Mehrez, 2001. "Location and sizing of facilities on a line," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 271-280, December.
    7. Adlakha, Veena & Kowalski, Krzysztof, 1999. "On the fixed-charge transportation problem," Omega, Elsevier, vol. 27(3), pages 381-388, June.
    8. Moreb, Ahmad A., 1996. "Linear programming model for finding optimal roadway grades that minimize earthwork cost," European Journal of Operational Research, Elsevier, vol. 93(1), pages 148-154, August.
    9. Robert F. Love, 1976. "Note--One-Dimensional Facility Location-Allocation using Dynamic Programming," Management Science, INFORMS, vol. 22(5), pages 614-617, January.
    10. Hare, Warren L. & Koch, Valentin R. & Lucet, Yves, 2011. "Models and algorithms to improve earthwork operations in road design using mixed integer linear programming," European Journal of Operational Research, Elsevier, vol. 215(2), pages 470-480, December.
    11. Jack Brimberg & Charles ReVelle, 1998. "Solving the plant location problem on a line by linear programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 6(2), pages 277-286, December.
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