Solutions to Assignment 10


  • 17-2.
    a) The value of lambda is the average number of cars arriving per hour and is therefore 4.
    b) Mean arrival rate is the same as lambda and thus 4 as well
    c) Mu is the average number serviced per hour which is 6
    d) Mean service time is 1/Mu and 1/6 hour or 10 minutes
    e) Mean service rate is 6 cars per hour.


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  • 17-4.


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  • 17-6.


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  • 17-10.
    Little's Law : L = lambda * W. In 17-6 lambda is 1 L is 1 and W is 1 hence L = 1*1 = 1.
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  • 17-16.
    It is easiest to first compute Lq and then L, W and Wq making use of the relationships among them.
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  • 17-27.
    Again, compute Lq first, and use relations among Lq, L, W and Wq to compute the others.
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