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Facility layout planning

The standard layout problem that could also be modeled as a quadratic assignment problem is considered. The main purpose of this module is to compute the costs for different assignments of machines to locations. A simple 2-exchange procedure is also implemented.
Six machines and locations are considered. If you want to consider a problem with less machines, simply fill out the columns and rows that are not required with zeros.

Symbols:

i index of machines
Mi machine i

A simple procedure for finding a good layout is the two-exchange procedure, which can be manually performed in this module. Starting with an arbitrary layout iteratively pair-wise exchanges are performed in a steepest-descent way, as long as a cost reduction results.

Literature:

- Günther/Tempelmeier (1999), Abschnitt 5.2


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