 Cost optimisation of a discrete-time retrial queue with Bernoulli feedback and starting failureShweta Upadhyaya International Journal of Industrial and Systems Engineering, 2020, vol. 36, issue 2, 165-196 Abstract: In this paper, we explore the performance characteristics of a discrete-time Geo/G/1 retrial queue with Bernoulli feedback where the server is subjected to starting failure. On the arrival of a customer, the server may either resume its service successfully with probability υ or may not resume its service successfully with probability ῡ = 1 − υ due to some faults which in turn force the server to repair and the customer may join the orbit. The service time, retrial time and repair time are general distributed. The purpose of this paper is two-fold. Firstly, we use generating function method and supplementary variable technique to derive expressions for system size, orbit size and other performance measures. Secondly, for a cost-effective system, we have found the optimal values of some critical system parameters such that the total system cost is minimised using particle swarm optimisation (PSO) technique. Finally, sensitivity analysis is also provided. Keywords: discrete-time retrial queue; preferred customer; impatient customer; Bernoulli feedback; starting failure; system size; particle swarm optimisation. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijisen:v:36:y:2020:i:2:p:165-196 Access Statistics for this article More articles in International Journal of Industrial and Systems Engineering from Inderscience Enterprises Ltd |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.