Minisum Single-Facility Location Problem with Rectilinear Distances

Examples where rectilinear distance is appropriate, Francis and White (1974, pp. 169-170)

Mathematical formulation, Francis et al. (1992, p. 190)

Properties of optimal solution, Francis and White (1974, p. 171) and Francis et al. (1992, pp. 190-194)

Discussion of “median,” Francis and White (1974, p. 171) and Francis et al. (1992, p. 194)

Majority theorem, Francis et al. (1992, p. 187)

Solved small numerical examples, Francis and White (1974, pp. 171-172), Francis et al. (1992, pp. 191-194) and Tompkins et al. (1996, pp. 536-537)

Force analogy, Tompkins and White (1984, p. 492)

Solved small numerical example, Tompkins and White (1984, p. 492)

Solved large numerical example, Francis and White (1974, pp. 172-173)

Solution by Hyperboloid Approximation Procedure (HAP), Francis and White (1974, p. 190)

Cost of alternative locations, Tompkins et al. (1996, pp. 537-538)

Definition of contour or iso-cost lines or level curves, Francis and White (1974, p. 173)

Importance of contour lines, Francis and White (1974, pp. 173, 194) and Francis et al. (1992, pp. 194-196)

Contour lines construction procedure, Francis and White (1974, pp. 173-175), Francis et al. (1992, p. 196-199), Tompkins and White (1984, pp. 492-495) and Tompkins et al. (1996, p. 538)

Countour lines for small numerical example, Francis and White (1974, pp. 175-176), Francis et al. (1992, pp. 195-1997) and Tompkins and White (1984, pp. 492-495)

Justification of contour lines construction procedure, Francis and White (1974, pp. 175, 177, 179-183)

Plots of x and y optimization for small numerical example, Francis and White (1974, pp. 177-178) and Francis et al. (1992, pp.192-193)

Importance of plots of x and y optimization, Francis and White (1974, p. 179)

Countour lines for a single existing facility and two existing facilities, Francis and White (1974, pp. 178-179)

Insights, Francis et al. (1992, p. 199)

Area locations for existing facilities, Tompkins and White (1984, pp. 494-497)

Solved small numerical example by force analogy, Tompkins and White (1984, pp. 495-497)

Francis, Richard L. and White, John A. Facilities Layout and Location, Prentice Hall, Englewood Cliffs, NJ, 1974.

Francis, Richard L., McGinnis, Leon F., Jr. and White, John A. Facilities Layout and Location, 2nd. ed., Prentice Hall, Englewood Cliffs, NJ, 1992.

Tompkins, James A. and White, John A. Facilities Planning, John Wiley and Sons, New York, 1984.

Tompkins et al. Facilities Planning, 2nd. ed., John Wiley and Sons, New York, 1996.

2007-02-27 6:14 pm

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