To enforce rules regarding hazardous material transportation, regulating agencies need to make choices on where to inspect trucks on the underlying transportation network. If each inspection facility has a very large capacity, then the corresponding problem for locating ‘m’ facilities to inspect as many trucks as possible may be formulated as the m-cover problem. However, in the more practical case when each inspection station’s capacity is limited, the problem can be formulated as a new capacitated facility location problem. Making use of some modeling assumptions, we present heuristics to solve this problem and provide some preliminary results.
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Mirchandani et al. (1995) studied this question.