# Facility Planning

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Facilities Planning
Lecture 7-8: Layout Planning Algorithmic Approaches

Departments are to be assigned to predetermined locations (sites) in the floor plan. Each department is treated as a unit square, so that any department can be assigned to any site. This is a quadratic assignment problem, since the “cost” of assigning a department to a particular location depends on the locations of the other departments.
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Mathematical Formulation

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Optimal solution procedures are difficult to solve for realistic size problems. Therefore, two types of heuristic procedures are considered.
 

Construction Procedure Improvement Procedures

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Evaluation of Facility Designs

Which layout is best?
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Is layout A better than Layout B? Several Common Methods for Block Layouts

Distance Based Scoring

Requires flow and distance Requires subjective AEIOU relationships Many methods available Weighted factor scoring

Multi-Objective Scoring
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Distance Based Scoring

Volume-Distance product

Distance usually measured rectilinearly, between centroids
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Assumes that the material flow system has already been specified Assumes that the variable flow cost is proportional to distance Distance often depends on the aisle layout and material handling equipment

Can also add a cost term (\$/dx) to convert to \$

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How should you measure distance?

Most common is “rectilinear” distance between centroids
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d(X, P) = |x - a| + |y - b| Absolute difference in x direction PLUS absolute difference in...

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