In this paper we study a batch arrival queuing system. The server may break down while delivering service. However, repair is not provided immediately, rather it is delayed for a random amount of time. At the end of service, the server may process the next customer if any are available, or may take a vacation to execute some other job. Finally, the server implements the T-policy. We describe for this system an optimal management policy. Numerical examples are provided.
Tadj, L. and Choudhury, G.
The Mx/G/1 Queue with Unreliable Server, Delayed Repairs, and Bernoulli Vacation Schedule under T-Policy,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 8,
2, Article 2.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss2/2