M/ C k / 1 Queue Model with Multiple Working Vacations

Ozkar S., Kocer U. Z.

International Journal of Applied and Computational Mathematics, cilt.3, sa.3, ss.2729-2744, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 3 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s40819-016-0220-5
  • Dergi Adı: International Journal of Applied and Computational Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.2729-2744
  • Anahtar Kelimeler: Cox distribution, Matrix geometric method, Multiple working vacations, Quasi-birth-and-death-process, Stochastic decomposition
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

© 2016, Springer India Pvt. Ltd.In classical vacation queue models, the server completely stops serving customers during a vacation period. We deal with a system in which the server performs other supplementary jobs at a different rate rather than entirely stopping during this period. The multiple working vacation policy is considered in this study. The stationary probability distribution is obtained by using the matrix geometric method. The number of customers in the system is presented by the stochastic decomposition structure in vacation queue model. Finally, a sensitivity analysis of the model parameters on the performance measures is examined by a numerical study.