# I’ve been struggling for days and still haven’t figured it out. Suppose there are two types of elevators. Buildings A and B have the same number of…

Question Hi, this question is about queuing theory, I hope you’d be able tohelp. I’ve been struggling for days and still haven’t figured it out.  Suppose there are two types of elevators. Buildings A and B have the same number of floors. Assume that passengers take the elevator at the lobby, and only go up.There is no inter-floor traffic, and once the elevator unloads all passengers, it will come back to the lobby, empty, and without distraction.  Building A has 2 elevators that serve all floors. Building B has 2 elevators that serve only half of the floors. One elevator serves only the bottom half (may be 1-5) and the other elevator serves the upper half (may be 6-10). a) How do the average queuing time differ between the two buildings? b) How do the average # of passengers queuing differ? c) How do the average amount of time in system differ?d) How do the average # of passengers in system differ?  ==== What I think about the above question is that it’s a difference between One M/M/2 system and Two M/M/1 systems. Please correct me if I’m wrong. The point that I’m confused is, I think µ would be different because Building B elevators only serve half of the floors, but how do I model that?  I’m really poor at math, so detailed explanations would be really helpful! I’m a 1st year masters student in business. Thanks a lot! Math

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