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    Lagrangian relaxation heuristics for the uncapacitated single-source multi-product facility location problem

    , Article International Journal of Production Economics ; Volume 145, Issue 2 , 2013 , Pages 713-723 ; 09255273 (ISSN) Mohammad Nezhad, A ; Manzour, H ; Salhi, S ; Sharif University of Technology
    2013
    Abstract
    Facility location problem is one of the strategic logistical drivers within the supply chain which is a hard to solve optimization problem. In this study, we focus on the uncapacitated single-source multi-product production/ distribution facility location problem with the presence of set-up cost. To efficiently tackle this decision problem, two Lagrangian-based heuristics are proposed one of which incorporates integer cuts to strengthen the formulation. Local search operators are also embedded within these methods to improve the upper bounds as the search progresses. Three sets of instances with various characteristics are generated and used to evaluate the performance of the proposed...