TY - JOUR
T1 - Contour line construction for a new rectangular facility in an existing layout with rectangular departments
AU - Kelachankuttu, Hari
AU - Batta, Rajan
AU - Nagi, Rakesh
N1 - Funding Information:
This work is supported by the National Science Foundation via grant number DMI–0300370. The authors also wish to acknowledge the help of two anonymous referees, whose comments significantly improved the exposition of this paper.
PY - 2007/7/1
Y1 - 2007/7/1
N2 - In a recent paper, Savas et al. [S. Savas, R. Batta, R. Nagi, Finite-size facility placement in the presence of barriers to rectilinear travel, Operations Research 50 (6) (2002) 1018-1031] consider the optimal placement of a finite-sized facility in the presence of arbitrarily shaped barriers under rectilinear travel. Their model applies to a layout context, since barriers can be thought to be existing departments and the finite-sized facility can be viewed as the new department to be placed. In a layout situation, the existing and new departments are typically rectangular in shape. This is a special case of the Savas et al. paper. However the resultant optimal placement may be infeasible due to practical constraints like aisle locations, electrical connections, etc. Hence there is a need for the development of contour lines, i.e. lines of equal objective function value. With these contour lines constructed, one can place the new facility in the best manner. This paper deals with the problem of constructing contour lines in this context. This contribution can also be viewed as the finite-size extension of the contour line result of Francis [R.L. Francis, Note on the optimum location of new machines in existing plant layouts, Journal of Industrial Engineering 14 (2) (1963) 57-59].
AB - In a recent paper, Savas et al. [S. Savas, R. Batta, R. Nagi, Finite-size facility placement in the presence of barriers to rectilinear travel, Operations Research 50 (6) (2002) 1018-1031] consider the optimal placement of a finite-sized facility in the presence of arbitrarily shaped barriers under rectilinear travel. Their model applies to a layout context, since barriers can be thought to be existing departments and the finite-sized facility can be viewed as the new department to be placed. In a layout situation, the existing and new departments are typically rectangular in shape. This is a special case of the Savas et al. paper. However the resultant optimal placement may be infeasible due to practical constraints like aisle locations, electrical connections, etc. Hence there is a need for the development of contour lines, i.e. lines of equal objective function value. With these contour lines constructed, one can place the new facility in the best manner. This paper deals with the problem of constructing contour lines in this context. This contribution can also be viewed as the finite-size extension of the contour line result of Francis [R.L. Francis, Note on the optimum location of new machines in existing plant layouts, Journal of Industrial Engineering 14 (2) (1963) 57-59].
KW - Contour line
KW - Facility layout
KW - Facility location
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U2 - 10.1016/j.ejor.2006.04.029
DO - 10.1016/j.ejor.2006.04.029
M3 - Article
AN - SCOPUS:33846277970
SN - 0377-2217
VL - 180
SP - 149
EP - 162
JO - European Journal of Operational Research
JF - European Journal of Operational Research
IS - 1
ER -