Extend the location-inventory model of Section 8.9 to incorporate a covering-related measure of customer service. In particular, a demand node will be covered if it is within D c distance units of the...

Extend the location-inventory model of Section 8.9 to incorporate a covering-related measure of customer service. In particular, a demand node will be covered if it is within D_c
distance units of the facility to which it is assigned.

(a) Formulate this as a two-objective problem with the location-inventory cost as the primary objective and the covering metric as the second objective.

(b) Discuss how this problem can be solved using an algorithm for the location-inventory problem and the weighting method.