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- W151889940 abstract "Title of dissertation: DUAL-BASED LOCAL SEARCH FOR DETERMINISTIC, STOCHASTIC, AND ROBUST VARIANTS OF THE CONNECTED FACILITY LOCATION PROBLEM Maŕia Gisela Bardossy, Doctor of Philosophy, 2011 Dissertation directed by: Professor Subramanian Raghavan Robert H. Smith School of Business In this dissertation, we propose the study of a family of network design problems that arise in a wide range of practical settings ranging from telecommunications to data management. We investigate the use of heuristic search procedures coupled with lower bounding mechanisms to obtain high quality solutions for deterministic, stochastic and robust variants of these problems. We extend the use of well-known methods such as the sample average approximation for stochastic optimization and the Bertsimas and Sim approach for robust optimization with heuristics and lower bounding mechanisms. This is particular important for NP-complete problems where even deterministic and small instances are difficult to solve to optimality. Our extensions provide a novel way of applying these techniques while using heuristics; which from a practical perspective increases their usefulness. We study the connected facility location (ConFL) problem, which arises in a number of applications that relate to the design of telecommunication networks as well as data distribution and management problems on networks. It combines features of the uncapacitated facility location problem with the Steiner tree problem and is known to be NP-complete. In this setting, we wish to install a set of facilities on a communication network and assign customers to the installed facilities. In addition, the set of selected facilities needs to be connected by a Steiner tree. We propose a dual-based local search (DLS) heuristic that combines dualascent and local search which together yield strong lower and upper bounds on the optimal solution. Our procedure is applied to a slightly more general version of the ConFL problem that embraces a family of four different problems—the Steiner tree-star problem, the general Steiner tree-star problem, the ConFL problem, and the rent-or-buy problem—that combine facility location decisions with connectivity requirements. Consequently, our solution methodology can be successfully applied to all of them. DUAL-BASED LOCAL SEARCH FOR DETERMINISTIC, STOCHASTIC, AND ROBUST VARIANTS OF THE CONNECTED FACILITY LOCATION PROBLEM" @default.
- W151889940 created "2016-06-24" @default.
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- W151889940 date "2011-01-01" @default.
- W151889940 modified "2023-09-23" @default.
- W151889940 title "Dual-Based Local Search for Deterministic, Stochastic and Robust Variants of the Connected Facility Location Problem" @default.
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