A Reliability-Constrained Siting Model with Local Estimates of Busy Fractions

Abstract

The concept of location coverage was first applied in the location set covering problem and then extended to the maximal covering location problem. Both of these problems were set in a deterministic framework in which the presence of a service site within the time or distance standard (geographic coverage) was taken as sufficient, even though the possibility existed of the only server within the standard being busy. To correct for this deficiency, Daskin structured the maximal expected covering model and Hogan and ReVelle created a model which maximized backup coverage. A model has now been created which deals explicitly in a chance-constrained sense with the availability of service. Further, this model uses local estimates of busy fractions in the zone around each demand area—in order to reflect more accurately the heterogeneity in service availability.

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