The present investigation deals with the bulk arrival M/G/1 retrial queue with impatient customers and modified vacation policy. The incoming customers join the virtual pool of customers called orbit if they find the server being busy, on vacation or in broken down state otherwise the service of the customer at the head of the batch is started by the server. The service is provided in k</em...

This paper analyzes a renewal input  working vacations queue with change over times and Bernoulli schedulevacation interruption under (a,c,b) policy.The service and vacation times are exponentially distributed.The server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a

we consider an m/g/1 queue with regular and optional phase vacation and withstate dependent arrival rate. the vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of k -phases, each phase is generally distributed. here the first phase is compulsory where as the other phases are optional. for this model the supplementary var...

The grand scale of GGR deployment now necessary to avoid dangerous climate change warrants the use interpretive theories how global economy operates. We argue that critical social science should be able name as “capitalism”; and instead speaking about “transforming economy” a precondition for limiting change, speak transforming, or even transcending, capitalism . propose three principles are he...

Long-term transitional grazing on the northern slopes of Tianshan Mountains in Xinjiang has led to severe vegetation degradation, loss self-renewal capacity and regional ecological degradation region. This study was conducted improve soil quality restoration efficiency foreland zone slope (Xiangyataizi slope) using xanthic acid, bentonite, a green plant growth regulator (GGR) high amounts mulch...

This paper represents linkage network of queues consisting of biserial and parallel servers linked to a common server in series with a flowshop scheduling system consisting of two machines. The significant transportation time of the jobs from one machine to another is also considered. Further, the completion time of jobs/customers (waiting time + service time) in the queue network is the set...

This paper deals with the study of multi-server queueing model in a fuzzy environment imposition reneging customers. Entry customers system is assumed to be Poisson process and exponential service time distribution under first-come-first-served basis. Specific this investigation derive various performance measures such as queue length, waiting queue, response optimal number servers explicit for...