Contents

Preface Hello world! Thanks Podz!

Introduction Classification of Location Problems

Planar Location Problems

Euclidean Distances

Rectilinear Distances

Squared Euclidean Distances

lp and Tchebychev Distances

Flow Path Distances

Minisum Single-Facility Location Problems

Minisum Single-Facility Location Problem with Rectilinear Distances

Minisum Single-Facility Location Problem with Squared Euclidean Distances

Minisum Single-Facility Location Problem with Euclidean Distances

Minisum Multifacility Location Problems

Minisum Multifacility Location Problem with Rectilinear Distances

Minisum Multifacility Location Problem with Squared Euclidean Distances

Minisum Multifacility Location Problem with Euclidean Distances

Minimax Single-Facility Location Problems

Minimax Single-Facility Location Problem with Rectilinear Distances

Minimax Multifacility Location Problem with Rectilinear Distances

Minimax Single-Facility Location Problem with Euclidean Distances

Minimax MultiFacility Location Problem with Euclidean Distances

Discrete Single-Facility Location Problem

Linear Assignment Location Problem

Quadratic Assignment Location Problem

Location-Allocation Problem

Discrete Plant Location Problem

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2006-09-01 5:45 pm

Classification of Location Problems

Francis et al. (1992) view the facility location problem as a “layout problem in the large.” The problems of configuring a single facility and of configuring a system of facilities have much in common, but they arise in a variety of contexts and they also differ significantly in their characteristics. Because of the multiplicity of facility layout and location problems that have been addressed in the research literature, Francis et al. (1992) found it is useful to define a number of categories that can be used to classify facility location problems. In classifying facility location problems, six major elements are considered:

1. new facility characteristics,
2. existing facility locations,
3. new and existing facility interactions,
4. solution space characteristics,
5. distance measure, and
6. objective.

These elements are depicted in Francis et al. (1992), Figures 1.5-1.10, pp. 21-23.

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

2006-10-05 10:41 pm

Planar Location Problems

Definition of planar location problem, Francis et al. (1992, p. 238)

Assumptions of planar location models, Francis et al. (1992, pp. 238-239, 339)

Application of planar location models, Francis et al. (1992, pp. 238, 240)

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

2007-01-29 11:45 pm

Euclidean Distances

Definition of Euclidean distance, Francis and White (1974, p. 169)

Examples where Euclidean distance is appropriate, Francis and White (1974, pp. 169, 187)

Properties of Euclidean distance, Francis et al. (1992, p. 189)

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.

2007-01-29 10:25 pm

Rectilinear Distances

Definition of rectilinear distance, Francis and White (1974, p. 169)

Examples where rectilinear distance is appropriate, Francis and White (1974, pp. 169-170) and Francis et al. (1992. pp. 188-189)

Properties of rectilinear distance, Francis et al. (1992, pp. 189-181)

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.

2006-10-06 4:42 pm

Squared Euclidean Distances

Definition of squared Euclidean distance, Francis and White (1974, p. 170)

Example where squared Euclidean distance is appropriate, Francis and White (1974, p. 170)

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

2006-10-05 10:26 pm

lp and Tchebychev Distances

Definition of l_p distance, Francis et al. (1992, p. 338)

Properties of l_p distance, Francis et al. (1992, p. 338)

Definition of Tchebychev distance, Francis et al. (1992, p. 338)

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

2007-01-29 10:15 pm

Flow Path Distances

Definition of flow path distance, Tompkins et al. (1996, p. 535)

Example where flow path distance is appropriate, Tompkins et al. (1996, p. 535)

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

2007-02-19 5:30 pm