Minimax Single-Facility Location Problems

August 22, 2006

Typical examples, Francis and White (1974, pp. 378-379)

Model validity, Francis and White (1974, pp. 378-379)

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

2006-10-16 10:46 pm


Minimax Single-Facility Location Problem with Rectilinear Distances

August 21, 2006

Examples where rectilinear distance is appropriate, Francis and White (1974, pp. 380-381)

Mathematical formulation with equal weights, Francis and White (1974, p. 380)

Addends, Francis and White (1974, pp. 381-382, 384)

Mathematical formulation with equal weights and addends, Francis and White (1974, p. 381)

Solution by linear programming, Francis and White (1974, pp. 382-384)

Optimal solution, Francis and White (1974, p. 381)

Solved small numerical examples, Francis and White (1974, pp. 381-382) and Tompkins et al. (1996, p. 539)

Mathematical formulation with addends, Francis and White (1974, p. 384)

Solution by linear programming, Francis and White (1974, pp. 386-387)

Solved small numerical example, Francis and White (1974, pp. 387-388)

Properties of optimal solution, Francis and White (1974, pp. 388-389)

Contour lines construction procedure, Francis and White (1974, pp. 384-385)

Countour lines for small numerical example, Francis and White (1974, pp. 382, 385-386)

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

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

2007-03-06 00:34 am


Minimax Multifacility Location Problem with Rectilinear Distances

August 20, 2006

Examples where rectilinear distance is appropriate, Francis and White (1974, pp. 390-391)

Mathematical formulation with upper bound constraints on distances among facilities, Francis and White (1974, p. 390)

Solution by linear programming, Francis and White (1974, pp. 390-394)

Solved small numerical example, Francis and White (1974, pp. 394-395)

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

2007-01-29 10:45 pm


Minimax Single-Facility Location Problem with Euclidean Distances

August 19, 2006

Examples where Euclidean distance is appropriate, Francis and White (1974, pp. 396-397)

Mathematical formulation with equal weights, Francis and White (1974, p. 396)

Geometric interpretation with equal weights, Francis and White (1974, p. 386)

Geometric solution, Francis and White (1974, pp. 397-398)

Solved small numerical example, Francis and White (1974, pp. 398-399)

Mathematical formulation with addends, Francis and White (1974, p. 399)

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

2007-01-29 11:00 pm


Minimax Multifacility Location Problem with Euclidean Distances

August 18, 2006

Mathematical formulation, Francis and White (1974, p. 400)

Solved small numerical example, Francis and White (1974, pp. 400-401)

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

2007-01-29 11:05 pm