Location-Allocation Problem

Common examples, Francis et al. (1992, p. 374)

Mathematical formulation, Francis and White (1974, pp. 233-234) and Francis et al. (1992, pp. 377-378)

Solution for small problems, Francis et al. (1992, pp. 374-376)

Solved small numerical example, Francis et al. (1992, pp. 374-376)

Alternate location-allocation (ALA) solution method, Francis et al. (1992, pp. 379-382)

Location subproblem, Francis et al. (1992, pp. 379-380)

Allocation subproblem, Francis et al. (1992, pp. 380-382)

Single fixed cost, with no capacity constraints, Francis et al. (1992, pp. 380-381)

Single fixed cost, with capacity constraints, Francis et al. (1992, p. 381)

Linear facility cost, Francis et al. (1992, pp. 381-382)

Solved small numerical example, Tompkins and White (1984, pp. 500-502)

Intersecting service regions, Tompkins and White (1984, pp. 501, 503)

Solved case problem, Francis et al. (1992, pp. 382-383)

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.

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Discrete Plant Location Problem

Designation, Francis and White (1974, p. 426)

Definition of plant location problem, Francis et al. (1992, pp. 493-494)

Cost assumptions, Francis et al. (1992, p. 494)

E/R mathematical formulation, Francis and White (1974, pp. 428-429)

E/R solution procedure, Francis and White (1974, pp. 429-434)

Branch and bound algorithm, Francis and White (1974, pp. 429-434)

Solved small numerical example, Francis and White (1974, pp. 434-437)

Mathematical formulation as a mixed integer programming problem, Francis et al. (1992, pp. 495, 507-509)

Add heuristic, Tompkins et al. (1996, pp. 542-543)

Numerical example,  Tompkins et al. (1996, pp. 543-544)

Linear programming dual problem, Francis et al. (1992, pp. 495-497)

Complementary slackness relationships, Francis et al. (1992, pp. 497-499)

Numerical example, Francis et al. (1992, pp. 484, 498-499)

Dual ascent algorithm, Francis et al. (1992, pp. 500-503)

Solved numerical example, Francis et al. (1992, pp. 484, 500-502)

Dual adjustment algorithm, Francis et al. (1992, pp. 504-505)

Numerical example, Francis et al. (1992, pp. 503-507)

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

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