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For a 100-Mbps token ring network with a token rotation time of \(200 \mu\) s that allows each station to transmit one 1-KB packet each time it possesses the token, calculate the maximum effective throughput rate that any one host can achieve. Do this assuming (a) immediate release and (b) delayed release.

Short Answer

Expert verified
Immediate release: 40.96 Mbps, Delayed release: 29.06 Mbps

Step by step solution

01

Title - Determine the packet size in bits

Each packet is 1-KB. Convert this to bits: \( 1 \text{ KB} = 1024 \text{ bytes} = 1024 \times 8 \text{ bits} = 8192 \text{ bits} \)
02

Title - Calculate transmission time for one packet

The transmission rate is 100 Mbps. Determine the time to send one packet: \( \text{Transmission time} = \frac{8192 \text{ bits}}{100 \text{ Mbps}} = \frac{8192}{100 \times 10^6} \text{ s} = 81.92 \mu\text{s} \)
03

Title - Calculate maximum effective throughput (immediate release)

For immediate release, the host can send another packet as soon as it finishes the current one. The effective throughput is the packet size divided by the token rotation time (since the transmission time is less than the rotation time): \( \text{Effective throughput} = \frac{8192 \text{ bits}}{200 \mu\text{s}} = 40.96 \text{ Mbps} \)
04

Title - Calculate maximum effective throughput (delayed release)

For delayed release, the host can send only one packet per token rotation: \( \text{Effective throughput} = \frac{8192 \text{ bits}}{200 \mu\text{s} + 81.92 \mu\text{s}} \approx \frac{8192 \text{ bits}}{281.92 \mu\text{s}} \approx 29.06 \text{ Mbps} \)

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Token Ring Network
A token ring network is a type of local area network (LAN) architecture where all computers are connected in a ring or star topology, and data passes sequentially between nodes.
The key element here is the 'token,' a small data packet that circulates around the network.
Only the computer that holds the token is allowed to send data, ensuring that only one device transmits at a time, which helps to avoid collisions.
In a token ring network, a token travels around the ring, and as each device gets the token, it either sends data if it has any to send or passes the token along to the next device.
  • **Advantages:**
    • Predictable performance due to token-passing mechanism.
    • Reduces collisions since only one device transmits at a time.
  • **Disadvantages:**
    • Can be relatively slow, especially as the number of connected devices increases.
    • If any device or connection in the ring fails, it can disrupt the entire network.
Transmission Time
Transmission time is the amount of time required to send a packet of data from one point to another in a network.
It is calculated based on the size of the data packet and the data transmission rate of the network.
  • The formula for transmission time is given as:
    \text{Transmission time} = \frac{\text{Packet size (bits)}}{\text{Transmission rate (bits per second)}} \[...\]
  • In the context of the exercise with a 100-Mbps token ring network, for a single 1-KB packet (which is 8192 bits), the transmission time comes out to be 81.92 microseconds \[ ...\].
This transmission time indicates how swiftly data can be sent across the network. Shorter transmission times are better as they imply faster data transfer.
Effective Throughput
Effective throughput is the actual rate at which useful data is transmitted over a network.
It considers various factors like the transmission time, token rotation time, and network overhead.
  • **Immediate Release:** This refers to the scenario where the host can send another packet as soon as it finishes sending the current one.
    • Here, the maximum effective throughput is calculated using the formula:
      \[ \text{Effective throughput} = \frac{\text{Packet size (bits)}}{\text{Token rotation time}} \]=\(40.96 \text{ Mbps}\)
  • **Delayed Release:** In this scenario, the host can only send one packet per token rotation.
    • The maximum effective throughput is recalculated to consider additional waiting times:
      \[ \text{Effective throughput} = \frac{8192 \text{ bits}}{200 \mu\text{s} + 81.92 \mu\text{s}} \approx 29.06 \text{ Mbps} \]
      This leads to a lower effective throughput because of the additional waiting time per transmission cycle.
Understanding effective throughput helps in determining the actual performance and efficiency of network data transmissions.

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Most popular questions from this chapter

Suppose five stations are waiting for another packet to finish on an Ethernet. All transmit at once when the packet is finished and collide. (a) Simulate this situation up until the point when one of the five waiting stations succeeds. Use coin flips or some other genuine random source to determine backoff times. Make the following simplifications: Ignore interframe spacing, ignore variability in collision times (so that retransmission is always after an exact integral multiple of the \(51.2-\mu\) s slot time), and assume that each collision uses up exactly one slot time. (b) Discuss the effect of the listed simplifications in your simulation versus the behavior you might encounter on a real Ethernet.

Suppose the round-trip propagation delay for Ethernet is \(46.4 \mu \mathrm{s}\). This yields a minimum packet size of 512 bits ( 464 bits corresponding to propagation delay \(+\) 48 bits of jam signal). (a) What happens to the minimum packet size if the delay time is held constant, and the signalling rate rises to \(100 \mathrm{Mbps}\) ? (b) What are the drawbacks to so large a minimum packet size? (c) If compatibility were not an issue, how might the specifications be written so as to permit a smaller minimum packet size?

Suppose that \(N\) Ethernet stations, all trying to send at the same time, require \(N / 2\) slot times to sort out who transmits next. Assuming the average packet size is 5 slot times, express the available bandwidth as a function of \(N\).

Suppose we want to transmit the message 11001001 and protect it from errors using the CRC polynomial \(x^{3}+1\) (a) Use polynomial long division to determine the message that should be transmitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the transmission link. What is the result of the receiver's CRC calculation? How does the receiver know that an error has occurred?

Suppose a \(100-\mathrm{Mbps}\) delayed-release token ring has 10 stations, a ring latency of \(30 \mu \mathrm{s}\), and an agreed-upon TTRT of \(350 \mu \mathrm{s}\). (a) How many synchronous frame bytes could each station send, assuming all are allocated the same amount? (b) Assume stations \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) are in increasing order on the ring. Due to uniform synchronous traffic, the TRT without asynchronous data is \(300 \mu \mathrm{s}\). B sends a \(200-\mu \mathrm{s}(2.5-\mathrm{Kb})\) asynchronous frame. What TRT will \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\) then see on their next measurement? Who may transmit such a frame next?

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