Management Science. Network Models

4. Networks a. The network below shows the flow of train cars along cach branch of a local railway system (branches labelled as in lectures). Determine the maximum flow from source node 1 West Point to destination node 6 East Point. Make sure your approach is clearly set out. [& marks) Capacity in Hundreds of Cars per Hour East Point West Point 10 10 b. Assume that the flow from 2-6 is subject to congestion. The flow is 3 with probability 0.5 and 1 with probability 0.5 rather than a guaranteed 2. Assuming the retum is proportional to flow for a company using the network, would a risk averse company be better or worse off? [4 marks c. A HR manager working for the train company wants to visit each station on the network once during a day to meet station staff. Explain in principle how the network might be used to plan and make the most of their time. What additional information would you need? [8 marks] 4. Networks a. The network below shows the flow of train cars along cach branch of a local railway system (branches labelled as in lectures). Determine the maximum flow from source node 1 West Point to destination node 6 East Point. Make sure your approach is clearly set out. [& marks) Capacity in Hundreds of Cars per Hour East Point West Point 10 10 b. Assume that the flow from 2-6 is subject to congestion. The flow is 3 with probability 0.5 and 1 with probability 0.5 rather than a guaranteed 2. Assuming the retum is proportional to flow for a company using the network, would a risk averse company be better or worse off? [4 marks c. A HR manager working for the train company wants to visit each station on the network once during a day to meet station staff. Explain in principle how the network might be used to plan and make the most of their time. What additional information would you need? [8 marks]