Name
Abstract | ||
|---|---|---|
We consider an M/PH/1 queue with workload-dependent balking. An arriving customer joins the queue and stays until served if and only if the system workload is no more than a fixed level at the time of his arrival. We begin by considering a fluid model where the buffer content changes at a rate determined by an external stochastic process with finite state space. We derive systems of first-order linear differential equations for the mean and LST (Laplace-Stieltjes Transform) of the busy period in this model and solve them explicitly. We obtain the mean and LST of the busy period in the M/PH/1 queue with workload-dependent balking as a special limiting case of this fluid model. We illustrate the results with numerical examples. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s11134-008-9074-9 | Queueing Syst. |
Keywords | Field | DocType |
fluid model,fixed level,busy period analysis,system workload,laplace-stieltjes transform,external stochastic process,m/ph/1 queue · workload process · balking · busy period · fluid model,numerical example,buffer content change,finite state space,busy period,first-order linear differential equation,stochastic process,first order,state space,laplace stieltjes transform,linear differential equation | M/M/1 queue,Mathematical optimization,M/M/c queue,Workload,Queue,M/G/1 queue,M/G/k queue,Stochastic process,Burke's theorem,Real-time computing,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 1 | 0257-0130 |
Citations | PageRank | References |
6 | 0.55 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liqiang Liu | 1 | 9 | 0.98 |
| Vidyadhar G. Kulkarni | 2 | 539 | 60.15 |