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Exact approaches for static data segment allocation problem in an information network
Affiliation:1. IITB-Monash Research Academy, IIT Bombay, Powai, Mumbai 400076, India;2. Department of Mechanical Engineering, Monash University, Clayton, VIC 3800, Australia;3. Industrial Engineering and Operations Research, IIT Bombay, Powai, Mumbai 400076, India;1. Power Systems Design and Studies, PSEC, National Renewable Energy Laboratory, 15013 Denver West Parkway, Golden, CO 80401, United States;2. Department of Electrical and Computer Engineering, Lehigh University, 19 Memorial Drive, Bethlehem, PA 18015, United States;3. Department of Economics, Department of Industrial and Systems Engineering, Lehigh University, 621 Taylor Street R451, Bethlehem, PA 18015, United States;4. Department of Industrial and Systems Engineering, Lehigh University, 200 West Packer Avenue, Bethlehem, PA 18015, United States;1. Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile;2. Universidad Autónoma de Chile, Santiago, Chile;3. Universidad Cientifica del Sur, Lima, Peru;4. Universidad Central de Chile, Santiago, Chile;5. Universidad San Sebastián, Santiago, Chile;6. Universidad de Valparaíso, Valparaíso, Chile;7. Universidad Técnica Federico Santa María, Valparaíso, Chile;8. Universidad de Playa Ancha, Valparaíso, Chile;9. Escuela de Ingeniería Industrial, Universidad Diego Portales, Santiago, Chile;10. Facultad de Ingeniería, Universidad Santo Tomás, Viña del Mar, Chile;1. Department of CSE, IIT Guwahati, Assam, India;2. Department of Computer Science, University of Texas at San Antonio, USA;3. Faculty of Electrical and Computer Engineering, Semnan University, Semnan, Iran;1. Department of Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Brazil;2. Department of Computer Science, Federal University of Ouro Preto, Ouro Preto, Brazil;3. IT Center, Federal University of Ouro Preto, Ouro Preto, Brazil;1. Definiens, Germany;2. Institut Mines-Telecom, Telecom ParisTech, CNRS LTCI, Paris, France;3. Centre National d''Etudes Spatiales, Toulouse, France;4. CESBIO UMR 5126, Toulouse, France;1. Université d’Avignon et des Pays du Vaucluse, Laboratoire d’Informatique d’Avignon (LIA), 339, chemin des Meinajaries, Agroparc BP 91228, 84911 Avignon Cedex 9, France;2. KEDGE Business School, 680 cours de la Libération, 33405 Talence Cedex, France
Abstract:In a large distributed database, data are geographically distributed across several separate servers (or data centers). This helps in distributing load in the access network. It also helps to serve data locally where it is required. There are various approaches based on the granularity of data for efficient data distribution in a communication network. The file allocation problem (FAP) locates files to servers, the segment allocation problem (SAP) locates database segments, and the mirror location problem (MLP) locates replicas of the entire database. The placement of such data to multiple servers can be modeled as an optimization problem. The major decisions influencing optimization involves the location of servers, allocation of content and assignment of users. In this paper, we study the segment allocation problem (SAP), which is also known as the partial mirroring problem. This approach is more tractable than the file allocation problem in realistic cases and also eliminates the overhead of (constant) update costs that is incurred in the mirror location problem. Our contribution is two-fold: Firstly, earlier works on SAP assume pre-defined segments. We build a data partitioning method using well-known facility location models. We quantify the performance of the partitioning method. We show that the method partitions the database within a reasonable limit of error. Secondly, we introduce a new model for the segment allocation problem in which the segments are completely connected to each other by high-bandwidth links and contains a cost benefit for inter-segment traffic flows. We formulate this problem as an MILP and build exact solution approaches to solve large scale problems. We demonstrate some structural properties of the problem that make it solvable, using a Benders decomposition algorithm. Computational results validate the superiority of the decomposition approach.
Keywords:Segment allocation  File aggregation  Integer programming  Benders decomposition
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