Potentials Method for M/G/1/m Systems with Threshold Operating Strategies
| Autor: | K. Yu. Zhernovyi, Yu. V. Zhernovyi |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
D/M/1 queue
Queueing theory 021103 operations research General Computer Science M/G/k queue Computer science Real-time computing 0211 other engineering and technologies M/M/1 queue 020206 networking & telecommunications G/G/1 queue 02 engineering and technology M/M/∞ queue 0202 electrical engineering electronic engineering information engineering M/G/1 queue Applied mathematics M/M/c queue |
| Zdroj: | Cybernetics and Systems Analysis. 52:481-491 |
| ISSN: | 1573-8337 1060-0396 |
| DOI: | 10.1007/s10559-016-9849-7 |
| Popis: | We propose a method to analyze M/G/1/m queuing systems with the function of random dropping of customers and service time distribution dependent on the queue length. We obtain formulas to determine the Laplace transforms of the distribution of the number of customers in the system during busy period and of the distribution function of the busy period and to calculate the stationary characteristics. The relations for the stationary characteristics are tested using simulation models constructed with the use of the GPSS World tools. The results of the use of various control tools of system parameters are compared in the example. |
| Databáze: | OpenAIRE |
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