Performance analysis and optimal control of the Geo/Geo/c queue

  • Authors:
  • J. R. Artalejo;O. Hernández-Lerma

  • Affiliations:
  • Departamento de Estadística e I.O., Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain;Departamento de Matemáticas, CINVESTAV-IPN, Apartado Postal 14-740, 07000 México DF, México

  • Venue:
  • Performance Evaluation
  • Year:
  • 2003

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Abstract

Discrete-time multiserver queues have been used for many years to investigate the behavior of communication and computer systems in which time is slotted. In this paper, we consider the discrete-time Geo/Geo/c queue. We first develop an efficient recursive procedure to obtain the steady-state probabilities and prove the convergence to the continuous-time counterpart. We also deal with the infinite-horizon discounted cost criterion for the arrival and service rate control problems. Optimal stationary policies and Value functions are determined. This allows us to compare both control problems.