Equivalence, Insensitivity and Monotonicity Properties

  • Simonetta Balsamo
  • Vittoria de Nitto Personé
  • Raif Onvural
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 31)


Equivalence, insensitivity and monotonicity are important properties of queueing network models that can be used in system performance comparison and evaluation. Insensitivity and equivalence properties provide the basis for comparing the performance of system models with different parameters and with different blocking mechanisms. These results can be applied, for example, to study the impact of the blocking type on system performance, by considering a given set of performance indices and network parameters. In particular, equivalences allow us to define more efficient algorithms to evaluate queueing networks with blocking and to extend the class of models that can be analyzed through analytical methods. Insensitivity properties lead to the identification of the factor that affect system performance and in certain cases it allow a generalization of solution methods. Some important consequence of these properties is that solution methods and algorithms already defined for a certain class of networks could be extended to other classes of networks with different blocking types and/or network parameters. For example, equivalence between networks with and without blocking immediately leads to the extension of efficient computational solution algorithms defined for BCMP networks such as MVA and Convolution algorithm to queueing networks with finite capacity queues. Monotonicity provides insights in the system behavior represented by the queueing network models.


Monotonicity Property Blocking Type Equivalence Property Queueing Network Closed 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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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Simonetta Balsamo
    • 1
  • Vittoria de Nitto Personé
    • 2
  • Raif Onvural
    • 3
  1. 1.Universita’ di VeneziaItaly
  2. 2.Universita’ di Roma “Tor Vergata”Italy
  3. 3.IBMUSA

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