Please use this identifier to cite or link to this item: http://hdl.handle.net/11718/16619
Title: A New Formulation and Benders' Decomposition for Multi-period facility Location Problem with Server Uncertainty
Authors: Vatsa, Amit Kumar
Jayaswal, Sachin
Keywords: Facility location;Primary Health Centers;Brnders' Decomposition
Issue Date: 2015
Publisher: Indian Institute of Management Ahmedabad
Abstract: Facility location problems reported in the literature generally assume the problem parameter values (like cost, budget, etc.) to be known with complete certainty, even if they change over time (as in multi-period versions). However, in reality, there may be some uncertainty about the exact values of these parameters. Specifically, in the context of locating primary health centers (PHCs) in developing countries, there is generally a high level of uncertainty in the availability of servers (doctors) joining the facilities in different time periods. For transparency and efficient assignment of the doctors to PHCs, it is desirable to decide the facility opening sequence (assigning doctors to unmanned PHCs) at the start of the planning horizon. For, this we present a new formulation for a multi-period maximal coverage location problem with server uncertainty (MMCLPSU). We further demonstrate the superiority of our proposed formulation over the only other formulation reported in the literature. For instances of practical size, we provide Benders' decomposition based solution method, along with several refinements. For instances that CPLEX MIP solver could solve within a time limit of 20 hours, our proposed solution method turns out to be of the order of 150 - 250 times faster for the problems with complete coverage, and around 1000 times faster for gradual coverage.
URI: http://hdl.handle.net/11718/16619
Appears in Collections:Working Papers

Files in This Item:
File Description SizeFormat 
WP2015-02-07.pdf1.01 MBAdobe PDFView/Open


Items in IIMA Institutional Repository are protected by copyright, with all rights reserved, unless otherwise indicated.