Analysis of a working vacations queue with impatient customers operating under a triadic policy

Abstract

The objective of this paper is to analyze a finite buffer M/M/2 working vacations queue with balking and reneging wherein the servers operate under a triadic (0,Q,N,M) policy. As soon as the system becomes empty, both the servers leave for working vacations with only one of the two servers being active during the vacation. The service times during the working vacation and the vacation times are assumed to be exponentially distributed. Various performance measures are discussed and cost analysis is carried out using the quadratic fit search method. Finally, using some numerical results we present the parameter effect on the performance measures of the model.

Keywords::

• working vacations
• triadic policy
• impatient customers
• cost
• quadratic fit search method

JEL Classification::

• C44
• C49
• C54
• C61
• C68

Acknowledgements

The authors are thankful to the referees for their valuable comments and suggestions, which have helped in improving the quality of the presentation of the paper.