Potentials method for M/G/1/m systems with threshold operation strategies / Zhernovyi. (2016)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2016, 52 (3))

Zhernovyi Y.V.
Potentials method for M/G/1/m systems with threshold operation strategies

A research technique is proposed to analyze M/G/1/m queueing systems with hysteretic strategies of random dropping of customers and control of service time. Formulas are obtained to find the Laplace transforms of the distribution of the number of customers in the system during busy period and the distribution function of busy period and to calculate the stationary characteristics. The relations for stationary characteristics are tested on examples by simulation models constructed with the use of GPSS World workbenches. © 2016, Springer Science+Business Media New York.

Keywords: hysteretic strategies, potentials method, random dropping of customers, single-server queueing system, Distribution functions, Laplace transforms, Queueing networks, Sales, Busy period, hysteretic strategies, Operating strategy, Queueing system, random dropping of customers, Service time, Single server queueing system, Hysteresis


Cite:
Zhernovyi Y.V. (2016). Potentials method for M/G/1/m systems with threshold operation strategies. Cybernetics and Systems Analysis, 52 (3), 170-181. doi: https://doi.org/10.1007/s10559-016-9878-2 http://jnas.nbuv.gov.ua/article/UJRN-0000502514 [In Russian].


 

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