Abstract We provide a survey of so-called shot-noise queues: queueing models with the special feature that server speed is proportional to amount work it faces. Several results are derived for workload in an M / G /1 queue and some its variants. Furthermore, we give attention queues general workload-dependent service speed. also discuss linear stochastic fluid networks, which input process proc...

In this work, we suggest an analytic technique with triangular fuzzy and intuitionistic numbers to compute the membership functions of considerable state-executing proportion in Erlang service models. The inter-entry rate, which is Poisson, admin (service) Erlang, are both fuzzy-natured case, FEk designating probabilistic deviation k exponentially phase. numeric antecedents shown validate model...

In this paper, a procedure to establish the different performance measures in terms of crisp value is proposed for two classes arrivals and multiple channel queueing models, where both arrival service rate are fuzzy numbers. The main idea convert rates under queues into by using graded mean integration approach, which can be represented as median rule number. Hence, we apply values obtained mea...

In this paper, we establish strong embedding theorems, in the sense of Komlós-Major-Tusnády framework, for performance metrics a general class transitory queueing models nonstationary systems. The and non-Markovian nature these makes computation hard. embeddings yield error bounds on sample path approximations by diffusion processes form functional approximation theorems.