A two-stage tandem queue attended by a moving server with holding and switching costs
Queueing Systems: Theory and Applications
Optimal control of tandem reentrant queues
Queueing Systems: Theory and Applications
Control of a Single-Server Tandem Queueing System with Setups
Operations Research
OPTIMAL CONTROL OF A TWO-STAGE TANDEM QUEUING SYSTEM WITH FLEXIBLE SERVERS
Probability in the Engineering and Informational Sciences
A tandem queueing model with coupled processors
Operations Research Letters
A Tandem Queueing Model for Delay Analysis in Disconnected Ad Hoc Networks
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
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Consider a tandem queue of two single-server stations with only one server for both stations, who may allocate a fraction 驴 of the service capacity to station 1 and 1驴驴 to station 2 when both are busy. A recent paper treats this model under classical Poisson, exponential assumptions.Using work conservation and FIFO, we show that on every sample path (no stochastic assumptions), the waiting time in system of every customer increases with 驴. For Poisson arrivals and an arbitrary joint distribution of service times of the same customer at each station, we find the average waiting time at each station for 驴 = 0 and 驴 = 1. We extend these results to k 驴 3 stations, sample paths that allow for server breakdown and repair, and to a tandem arrangement of single-server tandem queues.