UDC 519.872
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2 National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,” Kyiv, Ukraine
 shumska-aa@ukr.net
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FAST SIMULATION OF STEADY-STATE CALL BLOCKING PROBABILITY
IN A TWO-CHANNEL SYSTEM WITH THRESHOLD SERVICE STRATEGIES
Abstract. A model of a queueing system consisting of two service channels is considered. Each channel receives calls from several Poisson flows of different types. A call of each flow requires a certain resource for its service. Threshold service strategies are defined that make it possible to redirect a call from one channel to another. Blocking of calls of a certain flow occurs if each channel does not have sufficient service resources. All calls coming in a system-blocking state are lost. To evaluate the steady-state probability of blocking calls of a certain flow, a fast simulation method is proposed. The accuracy of the estimates is illustrated by numerical examples. The possibility of the insensitivity of the steady-state blocking probabilities with respect to the form of service time distributions by fixed means is investigated.
Keywords: queueing system, blocking state, resource, steady-state probability, Monte–Carlo method, stratified sampling, fast simulation, variance of estimate.
full text
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