24
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Approximation and Optimization of a Multi-Server Impatient Retrial Inventory-Queueing System with Two Demand Classes

Pages 269-292 | Received 01 Nov 2013, Accepted 01 May 2014, Published online: 09 Feb 2016

References

  • Artalejo, J. R. and Gomez-Corral, A. (2008). Retrial Queueing Systems. Springer-Verlag, Berlin.
  • Artalejo, J. R., Orlovsky, D. S. and Dudin, A. N. (2005). Multi-server retrial model with variable number of active servers. Computers & Industrial Engineering, 48, 273–288.
  • Berman, O. and Kim, E. (1999). Stochastic models for inventory management at service facilities. Stochastic Models, 15(4), 695–718.
  • Bright, L. and Taylor, P. (1995). Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes. Communications in Statistics. Stochastic Models, 11(3), 497–525.
  • Chakravarthy, S. R., Krishnamoorthy, A. and Joshua, V. C. (2006). Analysis of a multi-server retrial queue with search of customers from the orbit. Performance Evaluation, 63, 776–798.
  • Chong, E. K. P. and Zak, S. H. (1996). An Introduction to Optimization. John Wiley and Sons, New York.
  • Falin, G. I. and Templeton, J. G. C. (1997). Retrial Queues. Chapman and Hall, London.
  • He, Q. M. (1996). Queues with marked customers. Advances in Applied Probability, 28, 567–587.
  • Kim, C. S., Klimenok, V., Mushko, V. and Dudin, A. (2010). The BMAP/PH/N retrial queueing system operating in Markovian random environment. Computers & Operations Research, 37, 1228–1237.
  • Krishnamoorthy, A. and Jose, K. P. (2007). Comparison of inventory systems with service, positive lead-time, loss, and retrial of customers. Journal of Applied Mathematics and Stochastic Analysis, 2007, 1–23.
  • Krishnamoorthy, A., Narayanan, V. C, Deepak, T. G. and Vineetha, P. (2006). Control policies for inventory with service time. Stochastic Analysis and Applications, 24(4), 889–899.
  • Kumar, B. K., Rukmani, R. and Thangaraj, V. (2008). Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli vacations. Journal of Applied Mathematics and Stochastic Analysis, 2008, 1–20.
  • Lucantoni, D. M., Meier-Hellstern, K. S. and Neuts, M. F. (1990). A single server queue with server vacations and a class of non-renewal arrival processes. Advances in Applied Probability, 22, 676–705.
  • Neuts, M. F. (1994). Matrix-Geometric Solutions in Stochastic Models. Dover Publications, New York.
  • Neuts, M. F. and Rao, B. M. (1990). Numerical investigation of a multiserver retrial model, Queueing Systems, 7, 169–190.
  • Sivakumar, B. and Arivarignan, G. (2008). A modified lost sales inventory system with two types of customers. Quality Technology & Quantitative Management, 5(4), 339–349.
  • Venkataraman, P. (2002). Applied Optimization with MATLAB Programming. John Wiley and Sons, New York.
  • Zhao, N. and Lian, Z. (2011). A queueing-inventory system with two classes of customers. International Journal of Production Economics, 129, 225–231.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.