Abstract
This problem deals with the location of facilities that are obnoxious in the sense that nearness of the facility to fixed points, which may represent population centers or other installations, is undesirable. Two model formulatons are given. In the first formulation we minimize the maximum weighted distance in the system subject to constraints which require that the distances between the facilities and fixed points must exceed specified values. In the second formulation, the smallest weighted “facility-to-fixed-point” distance in the system must be maximized, given that every fixed point must be within “reach” of the closest facility. Certain useful duality relationships are established between these problems. A one-dimensional problem is solved using an algorithm that incorporates a version of the set covering problem.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.