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HW #1 (20 points) Consider the network:. 2. Boston. Chicago. San Francisco. 3. 6. 7. New York. Los Angeles. 5. 1. 4. Atlanta. Dallas. Figure 1. Example Problem 1. Distance Matrix – in km. Traffic Matrix – in bits per second - bps.
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HW #1 (20 points) Consider the network: 2 Boston Chicago San Francisco 3 6 7 New York Los Angeles 5 1 4 Atlanta Dallas Figure 1. Example Problem 1
Cost: You can install 64,000 bps links at a monthly cost of $0.40 per km per month Suppose you have traffic on the link CHI-DAL at the following rate: CHI-DAL = 70,000 bps DAL-CHI = 80,000 bps Cost = 2 (64 K lines) x 0.40 ($) x 1448 = $1158.40/month
Determine the routing and least cost network required to service the traffic. Routing Answer: ATL-BOS: ATL-DAL-CHI-BOS 50,000 bps BOS-LA: BOS-CHI-DAL-LA 90,000 bps Link Flows & Cost Answer: ATL-DAL: 50,000 1x0.40x1287 = 514.8 CHI-DAL: 90,000 2x0.40x1448 = 1158.4 BOS-CHI: 90,000 2x0.4x1609 = 1029.76 DAL-LA: 90,000 2x0.4x2253 = 1802.4 Total Network Cost: $4505.36
Note: For the 2 demands, there was a unique route for each. If there are multiple routes, then select the one or ones by splitting the demand that yield the least cost network. If there is traffic on a link from two different point-to-point pairs, then the traffic is summed. BOS-LA: 90,000 bps and SF-LA: 10,000 bps results in flow on the link CHI-DAL 0f 100,000 bps.
You must solve a similar problem on this network. 2 Boston Chicago San Francisco 3 6 7 New York Los Angeles 5 1 4 Atlanta Dallas Figure 2. Example Problem 2
Determine the routing for each of the traffic demands. You can split traffic to achieve a smaller total cost. Routing Answer: BOS-LA: ___________________________ NY-SF: ____________________________ ATL-SF: ____________________________
Link Flows & Cost: ATL-CHI: ATL-DAL: ATL-LA: ATL-NY: BOS-CHI: BOS-NY: CHI-DAL: CHI-NY:
CHI-SF: DAL-LA: DAL-SF: LA-SF: TOTAL NETWORK COST: __________________