The G t /GI/s t +GI many-server fluid queue

This paper introduces a deterministic fluid model that approximates the many-server Gt/GI/st + GI queueing model, and determines the time-dependent performance functions. The fluid model has time-varying arrival rate and service capacity, abandonment from queue, and non-exponential service and patience distributions. Two key assumptions are that: (i) the system alternates between overloaded and...

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Gt/GI/st + GI Many-Server Fluid Queue

This paper introduces a deterministic fluid model that approximates the many-server Gt/GI/st + GI queueing model, and determines the time-dependent performance functions. The fluid model has time-varying arrival rate and service capacity, abandonment from queue, and non-exponential service and patience distributions. Two key assumptions are that: (i) the system alternates between overloaded and...

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GI Many - Server Fluid Queue : Longer Online Version with Appendix

This paper introduces a deterministic fluid model that approximates the many-server Gt/GI/st + GI queueing model, and determines the time-dependent performance functions. The fluid model has time-varying arrival rate and service capacity, abandonment from queue, and non-exponential service and patience distributions. Two key assumptions are that: (i) the system alternates between overloaded and...

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A Fluid Model for the Many-Server Gt/GI/st +GI Queue

In a recent paper we introduced and analyzed a deterministic GIt/M/st + GI fluid modelthat can be used to show how queue lengths and waiting times depend on model parameters ina large-scale queueing system that experiences periods of overloading. The main feature of themodel is time-varying arrival rate and staffing, but the model also includes the realistic feature of anon-expo...

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GIt Many-Server Fluid Queue

We determine the time-dependent performance of a deterministic fluid model that approximates the many-server Gt/GI/st + GI queueing model. The model has a time-varying arrival rate and service capacity, abandonment from queue, and non-exponential service and patience distributions. Our key assumptions are that (i) the system alternates between overloaded and underloaded intervals, and (ii) the ...

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The G t /GI/s t +GI many-server fluid queue

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