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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Discrete and Fractional Programming Techniques for Location Models (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R1,511
Discovery Miles 15 110
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Discrete and Fractional Programming Techniques for Location Models (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Combinatorial Optimization, 3
Expected to ship within 10 - 15 working days
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At first sight discrete and fractional programming techniques
appear to be two com pletely unrelated fields in operations
research. We will show how techniques in both fields can be applied
separately and in a combined form to particular models in location
analysis. Location analysis deals with the problem of deciding
where to locate facilities, con sidering the clients to be served,
in such a way that a certain criterion is optimized. The term
"facilities" immediately suggests factories, warehouses, schools,
etc., while the term "clients" refers to depots, retail units,
students, etc. Three basic classes can be identified in location
analysis: continuous location, network location and dis crete
location. The differences between these fields arise from the
structure of the set of possible locations for the facilities.
Hence, locating facilities in the plane or in another continuous
space corresponds to a continuous location model while finding
optimal facility locations on the edges or vertices of a network
corresponds to a net work location model. Finally, if the possible
set of locations is a finite set of points we have a discrete
location model. Each of these fields has been actively studied,
arousing intense discussion on the advantages and disadvantages of
each of them. The usual requirement that every point in the plane
or on the network must be a candidate location point, is one of the
mostly used arguments "against" continuous and network location
models."
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