Task:
In a digital information transmission system, conversations are transmitted in digital form. Language packets arrive every 6 ± 3 ms and are transmitted through two sequentially connected channels. At any given time, each channel can only transmit one packet. In case a channel is busy, packets are stored in buffers in front of each channel. The packet transmission time for each channel follows an exponential distribution with a mean value of 5 ms. Packets with a transmission time exceeding 10 ms (excluding waiting time) are destroyed at the system output, as prolonged transmission time significantly reduces the quality of the transmitted speech. Destruction of more than 30% of packets is unacceptable. Upon reaching this level, the system accelerates channel transmission to an average time of 4 ms using resources. If the level drops to an acceptable value, resources are disconnected.
Model the system's operation for 10 seconds. Determine: - packet destruction frequency; resource connection frequency; average time a packet spends in the transmission system (taking waiting time into account).
In a digital information transmission system, conversations are transmitted in digital form. Language packets arrive every 6 ± 3 ms and are transmitted through two sequentially connected channels. At any given time, each channel can only transmit one packet. In case a channel is busy, packets are stored in buffers in front of each channel. The packet transmission time for each channel follows an exponential distribution with a mean value of 5 ms. Packets with a transmission time exceeding 10 ms (excluding waiting time) are destroyed at the system output, as prolonged transmission time significantly reduces the quality of the transmitted speech. Destruction of more than 30% of packets is unacceptable. Upon reaching this level, the system accelerates channel transmission to an average time of 4 ms using resources. If the level drops to an acceptable value, resources are disconnected.
Model the system's operation for 10 seconds. Determine: - packet destruction frequency; resource connection frequency; average time a packet spends in the transmission system (taking waiting time into account).
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Odessa