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ks? 10. Calls requiring information technology (IT) support arrive at the help desk every 3 minutes (exponential distribution). The time it takes to troubleshoot the problem over the phone is exponentially distributed with a mean of 6 minutes. IT support staff is paid an average of $25 an hour. The lost time for the care provider making the call to have the issue resolved is valued at $70 an hour. Based on a cost analysis, what is the optimal number of servers? 1 M3-05 (Chapter 8. Problem 10) 2 3 Is system M/M/s? Why 4 5 6 Arrival rate, Call/Hour 7 Service rate per server, Call/Hour Server Cost S/Hr. 9 Provider Cost S/Hr. 10 11 Using http://www.csun.edu/vcmgtoj3/Queue.xls 12 Mof Providers in Servers 13 # of Servers system, L Cost/Hr. 14 3 15 4 16 5 17 6 18 19 Optimal Number of servers 20 21 22 Providers Cost/Hr Total Cost/HT 24 25 26 27 28 ks? 10. Calls requiring information technology (IT) support arrive at the help desk every 3 minutes (exponential distribution). The time it takes to troubleshoot the problem over the phone is exponentially distributed with a mean of 6 minutes. IT support staff is paid an average of $25 an hour. The lost time for the care provider making the call to have the issue resolved is valued at $70 an hour. Based on a cost analysis, what is the optimal number of servers? 1 M3-05 (Chapter 8. Problem 10) 2 3 Is system M/M/s? Why 4 5 6 Arrival rate, Call/Hour 7 Service rate per server, Call/Hour Server Cost S/Hr. 9 Provider Cost S/Hr. 10 11 Using http://www.csun.edu/vcmgtoj3/Queue.xls 12 Mof Providers in Servers 13 # of Servers system, L Cost/Hr. 14 3 15 4 16 5 17 6 18 19 Optimal Number of servers 20 21 22 Providers Cost/Hr Total Cost/HT 24 25 26 27 28