Question: 1. Consider the first queueing network discussed in class. a. Assume that there are 10 servers that can be distributed among the Squeues in the

1. Consider the first queueing network discussed in class. a. Assume that there are 10 servers that can be distributed among the Squeues in the network How these servers should be distributed so that the WIP (work in process) in the system is minimized? b. Assume that there are 10 servers that can be distributed among the Squeues in the network and that you are asked to minimize the average throughput time of the jobs thru the system. Explain why you answer in (a) also minimizes the average throughput time, c Assume that there are 10,11,12.-25 servers that can be distributed among the 5 queues in the network. How these servers should be distributed sothat the WP (work in process) in the system is minimized? Give your answer in a tabular form and draw a curve ofWIP vs number of servers. It should be clear from this graph, thatthere is apointin which it doesnot help very much to add more servers. d. Assume that for each hour that a job spend in the system it costs$7000to the company and that each server costs $4000 per hour. How many serversshouldwe have and how they should be distributed among the workstations? Provide adetail explanation ofthe procedure that you use to find your solution. 1. Consider the first queueing network discussed in class. a. Assume that there are 10 servers that can be distributed among the Squeues in the network How these servers should be distributed so that the WIP (work in process) in the system is minimized? b. Assume that there are 10 servers that can be distributed among the Squeues in the network and that you are asked to minimize the average throughput time of the jobs thru the system. Explain why you answer in (a) also minimizes the average throughput time, c Assume that there are 10,11,12.-25 servers that can be distributed among the 5 queues in the network. How these servers should be distributed sothat the WP (work in process) in the system is minimized? Give your answer in a tabular form and draw a curve ofWIP vs number of servers. It should be clear from this graph, thatthere is apointin which it doesnot help very much to add more servers. d. Assume that for each hour that a job spend in the system it costs$7000to the company and that each server costs $4000 per hour. How many serversshouldwe have and how they should be distributed among the workstations? Provide adetail explanation ofthe procedure that you use to find your solution

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