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- W2945283959 abstract "For a class of discrete-time queueing systems, we present a new exact method of computing both the expectation and the distribution of the queue length. This class of systems includes the bulk-service queue and the fixed-cycle traffic-light (FCTL) queue, which is a basic model in traffic-control research and can be seen as a non-exhaustive time-limited polling system. Our method avoids finding the roots of the characteristic equation, which enhances both the reliability and the speed of the computations compared to the classical root-finding approach. We represent the queue-length expectation in an exact closed-form expression using a contour integral. We also introduce several realistic modifications of the FCTL model. For the FCTL model for a turning flow, we prove a decomposition result. This allows us to derive a bound on the difference between the bulk-service and FCTL expected queue lengths, which turns out to be small in most of the realistic cases." @default.
- W2945283959 created "2019-05-29" @default.
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- W2945283959 date "2019-05-17" @default.
- W2945283959 modified "2023-09-27" @default.
- W2945283959 title "An exact root-free method for the expected queue length for a class of discrete-time queueing systems" @default.
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- W2945283959 doi "https://doi.org/10.1007/s11134-019-09614-1" @default.
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