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Fast bounding procedures for large instances of the simple plant location problem

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<mark>Journal publication date</mark>05/2012
<mark>Journal</mark>Computers and Operations Research
Issue number5
Volume39
Number of pages6
Pages (from-to)985-990
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

Some new, simple and extremely fast bounding procedures are presented for large-scale instances of the Simple Plant Location Problem. The lower-bounding procedures are based on dual ascent. The fastest of them runs in O(mn log m) time, where m and n are the number of locations and clients, respectively. The upper-bounding procedures are based on iteratively dropping facilities, and the fastest of them runs in O(m(n + log m)) time. Extensive computational results show that, in practice, the procedures give very good bounds extremely quickly.