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Optimum concentrator location in telecommunications design

Published: 01 August 1972 Publication History
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  • Abstract

    This paper discusses the problem of the allocation of concentrators in the initial phases of telecommunications design. A model for this problem is presented in which the trade-off between line cost and the number of concentrators can be examined. An approach to obtaining a solution for this formulation involves minimum k-cover configurations, for which an efficient algorithm is presented.

    References

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    Balinski, M. L. and Quandt, R. E., "On an integer program for a delivery problem", Op. Res., 12, 300-304, 1963
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    Balinski, M. L., "Integer programming: methods, uses, computations", Mgt. Sci., 12, #13, 253-313, 1965
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    Bellman, R., "An application of dynamic programming to location-allocation problems", SIAM Review, 7, #1, 126-128, 1965
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    Edmonds, J., "Paths, trees, and flowers", Can. J. Math., 17, 449-467, 1965
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    Edmonds, "Maximum matching and polyhedron with 0,1-vertices", J. Res. NBS, 69B, #1/2, 125-130, 1965
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    Esau, L. R. and Williams, K. C., On teleprocessing design, part II: "A method for approximating the optimal network", IBM Sys. Journal, 5, #3, 142-147, 1966.
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    Everett III, H., "Generalized Lagrange multiplier method for solving problems of optimum allocation of resources", Op. Res., 11, 399-417, 1963
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    Gavett, J. W. and Plyter, N. V., "The optimal assignment of facilities to locations by branch and bound", Op. Res., 14, #2, 210-232, 1966
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    Kaplan, S., "Tha advancing communication technology and computer communication systems", Proc. of 1968 SJCC, 119-133
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    Lawler, E. L., "The quadratic assignment problem", Mgt. Sci., 9, #4, 586-599, 1963
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    Palermo, F. P., "A network minimization problem", IBM J. Res. Devel., 5, 335-337, 1961
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    Norman, R. Z. and Rabin, M. O., "An algorithm for a minimum cover of a graph", Proc. Am. Math. Soc., 10, 315-319
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    White, L. J., "Minimum covers of fixed cardinality in weighted graphs", SIAM J. of Applied Math., 21, #1, 104-113, 1971
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    White, L. J. and Gillenson, M. L., "An efficient algorithm for minimum k-covers in weighted graphs", submitted to Mathematical Programming, SIGMAP of ACM, 1971
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    White, L. J. and Gillenson, M. L., "Optimum data allocation", Technical Report OSU-CISRC-TR-72-1, Computer and Information Science Research Center, The Ohio State University, January, 1972

    Cited By

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    • (1978)Optimization of Teleprocessing Networks with Concentrators and Multiconnected TerminalsIEEE Transactions on Computers10.1109/TC.1978.167515927:7(594-604)Online publication date: 1-Jul-1978
    1. Optimum concentrator location in telecommunications design

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      cover image ACM Conferences
      ACM '72: Proceedings of the ACM annual conference - Volume 1
      August 1972
      194 pages
      ISBN:9781450374910
      DOI:10.1145/800193
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      New York, NY, United States

      Publication History

      Published: 01 August 1972

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      Author Tags

      1. computer networks
      2. concentrator location
      3. graph cover
      4. network design
      5. primal-dual algorithm
      6. resource sharing
      7. service center location
      8. star network
      9. telecommunications design
      10. weighted graph

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      August 1, 1972
      Massachusetts, Boston, USA

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      • (1978)Optimization of Teleprocessing Networks with Concentrators and Multiconnected TerminalsIEEE Transactions on Computers10.1109/TC.1978.167515927:7(594-604)Online publication date: 1-Jul-1978

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