MATH233 Unit 1 Individual Project To communicate most effectively, network administrators attempt to maximize bandwidth and throughput speeds to achieve high data transmission rates within the building’s CAT5e cables. These performance data transfer rates are given in multiples of unit bits per second (bps). In the table below, the school’s IT department estimates the network throughput that is required in the near future. The network manager has asked you to use these data to analyze the current traffic load and the network's overall capacity. Estimates given in the table below suggest that your network throughput can transfer Gigabits (Gb) of data in seconds for each user. For each question, be sure to show all your work details for full credit. Round all numerical answers to three decimal places. 1. Research and define the concepts of maximum theoretical throughput, channel capacity, and bandwidth. Next, explain the difference between CAT5e and CAT6 Ethernet cables. What specific speeds can each of these cables handle? Listing credible cited resources, please answer these below. Cat5e is the has been tested to the IEEE standards body of the 1000 megabits per second performance up over the 100 meters of the Cat5s for the 802.3 spec just like the 100base-tx for the fast Ethernet. But now many companies are using the cat6 for faster way to speed up the network. By company are installing the Cat6 has over 1 gbit. The system of the networking for the company has 90% more speed than the Cat5. Cat5e Cable Explained Improved signal-carrying capacity. Backward compatibility with Cat5 cabling Rated bandwidth of 100 megahertz, which is an improvement over cat5 cabling Capable of carrying 1 Gigabyte per second Affordability in comparison to cat6 cabling. Advantages of Cat6 Cable Cat6 network cabling requires experienced installation technicians to retain the compatibility in the cat6 network. Bandwidth of 250 megahertz, which is more than double the 100 megahertz of cat5e. Distances of 700 feet can be spanned with Cat6 cable without the use of a repeater Reduced cross talk, or signal leakage, between twisted pairs. Reduced Near-End Cross Talk, or NEXT, parameters. Page 1 of 5 2. In the table below, based on the first letter of your last name, please select one number from each of the ranges in the x and y columns. Table A: Estimates of bit-transmissions and times First Letter of Your last Name A–D E–H I–L M–P Q–T U–Z Seconds 2 to 3.99 4 to 7.99 8 to 15.99 16 to 31.99 32 to 63.99 64 to 79.99 Gigabits (Gb) 2 to 3.99 4 to 7.99 8 to 15.99 16 to 31.99 32 to 63.99 64 to 79.99 Given that the throughput is the table’s Gigabits per seconds (Gbps), calculate and record this transfer rate for your chosen values with the formula: M=x-25.9 per sec and Y=20.5 Gigabit can hold more the transfer rate then the table in the pic. 3. Your school’s maximum network bandwidth is 1 Gbps. Does your answer from above exceed that or not? Based strictly on your value, do you think the maximum bandwidth should be raised? Will the network infrastructure need to be upgraded to support CAT6 cables? How did you arrive at this conclusion? Include the factors that influenced your decision. The school are taking out the Cat5 are putting the cat6 now because the Cat6 band network have to have more speed for the whole school can use on the school network. If they keep the Cat5 cable still in the school the speed for everyone will have to wait lees then half on the network have get off the system. 4. According to your research, the school’s throughput speed R(t) in Gbps, with respect to time in seconds, is best modeled with the rational function: Generate a graph of this function using Excel or another graphing utility. (There are free downloadable programs like Graph 4.4.2 or Mathematics 4.0; or, there are also online utilities such as this site and many others.) Insert the graph into the Word document containing your answers and work details. Be sure to label and number the Page 2 of 5 axes appropriately. 5. Peak Measured Throughput (PT): Peak or instantaneous throughputs (PT) measure values useful for systems that rely on bursts of data in a CAT5e cable. Unlike continuous streaming, information travels in short bursts. For example, during in-class demonstrations, a computer lab’s user experiences high traffic usage spikes on a very high-bandwidth that is transmitted over a relatively short period of time. Activity is important during these in-use peak times. Peak rates are measured limits taken with respect to throughput as time approaches zero. So for the above function, use algebraic techniques to find: Based strictly on this result, do you think your school should raise its current network’s bandwidth of 1 Gbps? How did you arrive at this conclusion? Here a pic that can show how the school bandwidth works for their network that are school using right now. If they don’t have setup like it is they will not have good network Page 3 of 5 to work with. And this how company can work as well to. 6. Maximum Sustained Throughput (ST): One of the most accurate indicators of system performance for high duty cycle networks is the maximum sustained throughput (ST) averaged over a long period of time. This value measures the network capacity fully utilized over its entire existence. Essentially, high volumes of continuously streamed transmissions max out the amounts of data being transferred in because the network is busy processing current data and unable to efficiently enter the cable. This builds up the delivery time causing latency instabilities. In this case, sustained rates are measured limits taken with respect to throughput as time increases towards infinity. So for the above function, use algebraic techniques to find the following: Based strictly on this result, do you think your school should raise its current network’s bandwidth of 1 Gbps? How did you arrive at this conclusion? 7. Based on all of your previous results, do you think your school should raise its current network’s bandwidth of 1 Gbps? How did you arrive at this conclusion? The telecommunications devices are the systems designers that can do all the systems in the networks commutations. That if to use the 1Gbpsto performs the network systems. For all things may have to be on the system networking. Page 4 of 5 References Demos. (n.d.). Retrieved from https://www.desmos.com/ Graph 4.4.2. (n.d.). Retrieved from the Graph Web site: http://www.padowan.dk/ Mathematics 4.0. (n.d.). Retrieved from the Microsoft Web site: http://microsoftmathematics.en.uptodown.com/ Page 5 of 5
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