An M/G/1 retrial queue subject to disasters and N-policy vacation
Peishu Chen1,2, Guoxi Zhao3, Yongwu Zhou1
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12C) 509-515
1School of Business Administration, South China University of Technology, Guangzhou 510000, Guangdong, China
2Mathematics Department, Chaohu University, Chaohu 238000, Anhui, China
3Department of mathematics and information science, Xinxiang University, Xinxiang 453003, Henan, China
An M/G/1 retrial queue subject to disasters and N-policy vacation is investigated in this paper. Both positive and negative customers arrival in Poisson processes independently, and positive customers receive service immediately if the server is idle upon their arrivals. Otherwise, they enter a retrial orbit and repeat their attempt again after a random time period. Once negative customers arrive, they not only remove all the customers in the system but also make the server under repair. The server leaves for an N-policy vacation as soon as the system empties. By using the supplementary variables method, we obtain the steady-state solutions for both performance measures and reliability quantities.