## 6.5.8 Related ProblemsThe three classes of facility location problems on networks that we have reviewed here (medians, centers, and requirements problems) are not only important in themselves but also illustrate the basic techniques for approaching a wide variety of related classes of problems. Two examples of such problems follow. The first is concerned with locating so-called "obnoxious" facilities
that everyone wishes to be as far away from as possible. Garbage incinerators
are one example of this type of facility. Airports (to a much lesser extent)
are another. One instance of such a problem is called the Thus, this problem differs from the median problem only in the fact that
it is concerned with maximizing rather than minimizing J(X Our second example is where is a constant (0 <
< 1) and j(x There is also an almost endless list of variations of requirements (and setcovering) problems, many of which have been motivated by urban applications [TORE 71, GARF 72]. |