• DocumentCode
    2068082
  • Title

    Asymptotically optimal trunk reservation for large trunk groups

  • Author

    Reiman, Martin I.

  • Author_Institution
    AT&T Bell Lab., Murray Hill, NJ, USA
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Firstpage
    2536
  • Abstract
    A loss system with N servers, two types of customers, exponential service times, and Poisson arrivals is considered. Customers of class i generate a reward ri when they enter service (r1>r2). The optimal policy has a threshold form known as trunk reservation. The behavior of the optimal trunk reservation level as N→∞ is considered, and it is shown that in a case of practical interest it grows as √N. The approximation to the optimal trunk reservation level obtained from the asymptotic analysis works extremely well
  • Keywords
    optimisation; queueing theory; Poisson arrivals; loss system; optimisation; queueing theory; service times; trunk reservation; Calculus; Diffusion processes; Information analysis; Performance analysis; State-space methods; Thumb; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • Type

    conf

  • DOI
    10.1109/CDC.1989.70634
  • Filename
    70634
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2068082