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Estimation in single server queues

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  • I. V. Basawa
  • N. U. Prabhu

Abstract

Moment and maximum likelihood estimates (m.l.e.'s) arc investigated for nonparametric and parametric models for a single server queue observed over a random time horizon, namely, up to the nth departure epoch. Also. m.l.e's of the mean interarrival time and mean service time in anM/M/1 queue observed over a fixed time‐interval are studied Limit distributions of these estimates are obtained Without imposing steady state assumptions on the queue‐size or waiting time processes.

Suggested Citation

  • I. V. Basawa & N. U. Prabhu, 1981. "Estimation in single server queues," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(3), pages 475-487, September.
    • Handle: RePEc:wly:navlog:v:28:y:1981:i:3:p:475-487
    DOI: 10.1002/nav.3800280311
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    Cited by:

    1. Saroja Kumar Singh, 2023. "Maximum Likelihood Estimation in Single Server Queues," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 931-947, February.
    2. Singh, Saroja Kumar & Acharya, Sarat Kumar & Cruz, F.R.B. & Cançado, André L.F., 2023. "Change point estimation in an M/M/2 queue with heterogeneous servers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 182-194.
    3. Shovan Chowdhury, 2019. "On the Estimation of Performance Measures in a Single M/Ek/1 Queue," Working papers 301, Indian Institute of Management Kozhikode.

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