An unreliable group arrival queue with k stages of service, retrial under variant vacation policy

14th International Conference on Science, Engineering and Technology

自然科学;工业技术

Radha, J.^1 ; Indhira, K.^1 ; Chandrasekaran, V.M.^1

Department of Mathematics, School of Advanced Sciences, VIT University, Vellore

632014, India^1

关键词: Retrial queue;    Service channels;    Short-interval;    Steady state probabilities;    Supplementary variable method;    System performance measures;    System size;    Variant vacation policies;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/263/4/042147/pdf
DOI  :  10.1088/1757-899X/263/4/042147

来源: IOP

【 摘 要 】

In this research work we considered repairable retrial queue with group arrival and the server utilize the variant vacations. A server gives service in k stages. Any arriving group of units finds the server free, one from the group entering the first stage of service and the rest are joining into the orbit. After completion of the ithstage of service, the customer may have the option to choose (i+1)thstage of service with probability θi, with probability pimay join into orbit as feedback customer or may leave the system with probability . If the orbit is empty at the service completion of each stage service, the server takes modified vacation until at least one customer appears in the orbit on the server returns from a vacation. Busy server may get to breakdown and the service channel will fail for a short interval of time. By using the supplementary variable method, steady state probability generating function for system size, some system performance measures are discussed.