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Question 16 Packets arrive to a router according to a Poisson process with rate X=6/sec. The router can only process 1 packet at a time and there is a buffer with a capacity of 4 packets. If a packet arrives and finds no space in the buffer, then it will be discarded. The average time taken to process a packet is 0.125 sec (exponentially distributed). What queueing model describes this scenario (M/M/1, M/M/k, M/M/1/k or M/M/k/k)? What is the service rate? What is the system capacity?

Question 16 Packets arrive to a router according to a Poisson process with rate X=6/sec. The router can only process 1 packet at a time and there is a buffer with a capacity of 4 packets. If a packet arrives and finds no space in the buffer, then it will be discarded. The average time taken to process a packet is 0.125 sec (exponentially distributed). What queueing model describes this scenario (M/M/1, M/M/k, M/M/1/k or M/M/k/k)? What is the service rate? What is the system capacity?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question 16 Packets arrive to a router according to a Poisson process with rate X=6/sec. The router can only process 1 packet at a time and there is a buffer with a capacity of 4 packets. If a packet arrives and finds no space in the buffer, then it will be discarded. The average time taken to process a packet is 0.125 sec (exponentially distributed). What queueing model describes this scenario (M/M/1, M/M/k, M/M/1/k or M/M/k/k)? What is the service rate? What is the system capacity? What is the probability to have an empty system? What is the probability to have a full system? What is the average number of packets in the system? What fraction of packets are lost?
Transcribed Image Text:Question 16 Packets arrive to a router according to a Poisson process with rate X=6/sec. The router can only process 1 packet at a time and there is a buffer with a capacity of 4 packets. If a packet arrives and finds no space in the buffer, then it will be discarded. The average time taken to process a packet is 0.125 sec (exponentially distributed). What queueing model describes this scenario (M/M/1, M/M/k, M/M/1/k or M/M/k/k)? What is the service rate? What is the system capacity? What is the probability to have an empty system? What is the probability to have a full system? What is the average number of packets in the system? What fraction of packets are lost?
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