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Network Design with Non Simultaneous Flows

  • Mario Lucertini
  • Giuseppe Paletta
Part of the International Centre for Mechanical Sciences book series (CISM, volume 284)

Abstract

The problem of finding the minimum total cost edge capacities, such that all demand vectors in a given set are non simultaneously satisfied, is analyzed both for directed and non directed networks. In both cases the optimal solution is shown to be the sum of basic networks with suitable uniform edge capacities that can be obtained with standard shortest path algorithms.

Keywords

Network Design Travelling Salesman Problem Directed Network Capacity Expansion Basic Network 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. (FR).
    J. FREIDENFELDS: Capacity Expansion, North Holland, 1981.Google Scholar
  2. (HU).
    T.C. HU: Combinatorial algorithms, Addison Wesley, 1982.Google Scholar
  3. (LU).
    M. LUCERTINI: Bounded rationality in Zong term planning: a linear programming approach, Metroeconomica, 1982.Google Scholar
  4. (LP1).
    M. LUCERTINI, G. PALETTA: A class of network design problems with multiple demand: model formulation and an algorithmic approach, Netflow, Pisa, 1983.Google Scholar
  5. (LP2).
    M. LUCERTINI, G. PALETTA: Progetto di reti in condizione di domande non simultanee: il caso a singolo bene con due nodi domanda, Tec. Rep. CRAI, 1983.Google Scholar
  6. (MI).
    M. MINOUX: Optimum synthesis of a network with nonsimultaneous multicommodity flow requirements, Ann. Dis. Math., Vol. 11, 1981.Google Scholar
  7. (PS).
    C. PAPADIMITRIOU, L. STEIGLITZ: Some complexity results for the TSP, 8th ACM-STOC, 1976.Google Scholar
  8. (RSL).
    D. ROSENKRANTZ, R. STEARNS, P. LEWIS: An analysis of general heuristics for the TSP, SIAM J. Comp., 1977.Google Scholar

Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

  • Mario Lucertini
    • 1
    • 2
  • Giuseppe Paletta
    • 3
  1. 1.Istituto di Analisi dei Sistemi ed Informatica del CNRItaly
  2. 2.Dipartimento di Informatica e SistemisticaUniversità di RomaRomaItaly
  3. 3.Consorzio per la Ricerca e le Applicazioni di InformaticaRende (CS)Italy

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