6) The laboratory has just added several new blood services. The service time is

Question

6) The laboratory has just added several new blood services. The service time is again exponential but now has = 0.125 per minute. The arrival time has changed to = .25. It is no longer possible to reach a steady state solution since > . Three alternate solutions are being considered. Alternative 1: Hire a second server (both with = 0.15) Alternative 2: Hire 2 highly skilled servers (both with = 0.20 ) Alternative 3: buy additional equipment which can increase to 0.30 and continue with one server. Calculate Po, L, W, Wa, and Lg for each alternative and fill in the box below % Idle Wq Alternative 1 Alternative 2 Alternative 3

Explanation / Answer

formula

formulas can be seen

http://nptel.ac.in/courses/110106046/Module%209/Lecture%203.pdf

http://personal.maths.surrey.ac.uk/st/K.Young/Modules/MS334/M-M-c.pdf

lambda mu c utilization % idle W L Wq Lq P0 0.25 0.15 2 0.83333333 0.166667 7.366947 1.841737 0.70028 0.17507 0.411765 0.25 0.2 2 0.625 0.375 5.270563 1.317641 0.270563 0.067641 0.52381 0.25 0.3 1 0.83333333 0.166667 20 5 16.66667 4.166667

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