GIt Many-Server Fluid Queue

Many-Server Fluid Queue with Abandonment

We consider the Gt/Mt/st + GIt many-server fluid queue with time-varying parameters, intended as an approximation for the corresponding stochastic queueing model, having general arrival process (the Gt), Markovian service (the Mt) and customer abandonment with mutually independent times to abandon with a general distribution (the +GIt) when there are many servers (the st) and the system experie...

Large-time asymptotics for the Gt/Mt/st+GIt many-server fluid queue with abandonment

We previously introduced and analyzed the Gt/Mt/st + GIt many-server fluid queue with time-varying parameters, intended as an approximation for the corresponding stochastic queueing model when there are many servers and the system experiences periods of overload. In this paper, we establish an asymptotic loss of memory (ALOM) property for that fluid model, i.e., we show that there is asymptotic...

Single Server Bulk Queue with Service Interruption, Two Phase Repairs and State Dependent Rates

This paper reports a study on a single server queue with bulk arrival and bulk service patterns wherein the incoming traffic depends on the state of the server which may be in operating or breakdown state. The repair of the breakdown server is performed in two phases. The operating duration of server, repair duration of both phases of repairing as well as job's inter-arrival times and service t...

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...

Controllable Multi-Server Queue with Balking (TECHNICAL NOTE)