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Facility placement with sub-aisle design in an existing layout

Author

Listed:
  • Zhang, Min
  • Savas, Selçuk
  • Batta, Rajan
  • Nagi, Rakesh

Abstract

In this paper, we consider the integration of facility placement in an existing layout and the configuration of one or two connecting sub-aisles. This is relevant, for example, when placing a new machine/department on a shop floor with existing machines/departments and an existing aisle structure. Our work is motivated by the work of Savas et al. [Savas, S., Batta, R., Nagi, R., 2002. Finite-size facility placement in the presence of barriers to rectilinear travel. Operations Research 50 (6), 1018-1031], that considered the optimal planar placement of a finite-size facility in the presence of existing facilities. Our work differs from theirs in that we consider material handling to be restricted to the aisle structure. We do not allow the newly placed facility to overlap with existing facilities or with the aisle structure. Facilities are rectangular and travel is limited to new or existing aisles. We show that there are a finite number of candidate placements for the new facility. Algorithms are developed to find the optimal placement and the corresponding configurations for the sub-aisles. Complexity of the solution method is analyzed. Also, a numerical example is provided to explore the impact of the number of sub-aisles added.

Suggested Citation

  • Zhang, Min & Savas, Selçuk & Batta, Rajan & Nagi, Rakesh, 2009. "Facility placement with sub-aisle design in an existing layout," European Journal of Operational Research, Elsevier, vol. 197(1), pages 154-165, August.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:1:p:154-165
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    References listed on IDEAS

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    1. Kelachankuttu, Hari & Batta, Rajan & Nagi, Rakesh, 2007. "Contour line construction for a new rectangular facility in an existing layout with rectangular departments," European Journal of Operational Research, Elsevier, vol. 180(1), pages 149-162, July.
    2. Selçuk Savaş & Rajan Batta & Rakesh Nagi, 2002. "Finite-Size Facility Placement in the Presence of Barriers to Rectilinear Travel," Operations Research, INFORMS, vol. 50(6), pages 1018-1031, December.
    3. Alfred A. Kuehn & Michael J. Hamburger, 1963. "A Heuristic Program for Locating Warehouses," Management Science, INFORMS, vol. 9(4), pages 643-666, July.
    4. Katz, I. Norman & Cooper, Leon, 1981. "Facility location in the presence of forbidden regions, I: Formulation and the case of Euclidean distance with one forbidden circle," European Journal of Operational Research, Elsevier, vol. 6(2), pages 166-173, February.
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    6. Sarkar, Avijit & Batta, Rajan & Nagi, Rakesh, 2007. "Placing a finite size facility with a center objective on a rectangular plane with barriers," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1160-1176, June.
    7. Rajan Batta & Anjan Ghose & Udatta S. Palekar, 1989. "Locating Facilities on the Manhattan Metric with Arbitrarily Shaped Barriers and Convex Forbidden Regions," Transportation Science, INFORMS, vol. 23(1), pages 26-36, February.
    8. Richard C. Larson & Ghazala Sadiq, 1983. "Facility Locations with the Manhattan Metric in the Presence of Barriers to Travel," Operations Research, INFORMS, vol. 31(4), pages 652-669, August.
    9. Pavankumar Nandikonda & Rajan Batta & Rakesh Nagi, 2003. "Locating a 1-Center on a Manhattan Plane with “Arbitrarily” Shaped Barriers," Annals of Operations Research, Springer, vol. 123(1), pages 157-172, October.
    10. Butt, Steven E. & Cavalier, Tom M., 1996. "An efficient algorithm for facility location in the presence of forbidden regions," European Journal of Operational Research, Elsevier, vol. 90(1), pages 56-70, April.
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