A Two-Stage Model Queueing with No Waiting Line between Channels

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Sağlam V., Zobu M.

MATHEMATICAL PROBLEMS IN ENGINEERING, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/679369
  • Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We consider a new queuing model with sequential two stations (stages), single server at each station, where no queue is allowed at station 2 and with no restriction at station 1. There is a FCFS service discipline in which the input stream is Poisson having rate lambda. The service time of any customer at server i (i = 1,2) is exponential with parameter mu(i). The state probabilities and loss probability of this model are given. The performance measures are obtained and optimized, and, additionally, the model is simulated. The simulation results, exact results, and optimal results of the performance measures are numerically computed for different parameters.