**Unformatted text preview: **2. Μ= 60/10= 6 λ= 4 hours a)ρ= λ /μ 4/6= 66.67% idle = (1- ρ) = (1-.6667)= 33.33% b) (4/ 6)*60/2 = 20 minutes c) 16/ [6(6-4)]= 1.33 people d) P0= 1-.667= .333 P1= (1-.667)(.667)= .2222 1-(.333 + .222)= .444= 44.44% of the time 3. a) λ= 180 Μ= 3600/15= 240 ns= λ/ μ-λ= 180/ 240-180= 3 b. ts = 1 min c. ρ = 15% d. P0= 1-.75= .25 P1= .25x.75= .1875 P2= .25 ( .75x .75)= .140625 1-[ .25 + .1875 + .14065]= .4219 or 42.19% New A= 1.875 New B= .625 mins 4. a. Pw = 50.94% b. cost = $78.34 c. No, the decrease in waiting time due to another teller does not justify the additional cost of $79.46. d. Not applicable 5. λ= 240 ρ= .8 a. utilization rate= 80% b. the average number of peanut butter sandwiches on hand is .8...

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- Summer '07
- Vaitsos
- Management, Exponential distribution, 15%, 33.33%, 1 min, 42.19%