Question: The Question is about 'Queueing Theory M/G/1 model'. This problem location : simio and simulation: Modeling, Analysis, Applications, chapter 2, practice problem number 2 Hint
The Question is about 'Queueing Theory M/G/1 model'.
This problem location : simio and simulation: Modeling, Analysis, Applications, chapter 2, practice problem number 2
Hint : To solve this problem using Little's Law and other relations, and M/G/1 formula
and Problem 2's inter-arrival time is 1.25 minutes.
. Repeat problem 1, except assume that the service times are not exponentially distributed, but rather(continously) uniformly distributed between
and
. Note that the expected value of this uniform distribution is
, the same as the expected service time in Problem 1. Compare all five of your numerical results to those from 'Problem 1'(=
,
,
,
,
) and explain intuitively with respect to this change in the service-time distribution (but with its expected value remaining at 1).
value remaining at 1 :
= 4 minutes ,
= 5 minutes ,
= 4 units ,
= 3.2 units ,
= 0.8 or 80%
Be sure to state all your units(Always!) and the relevant time frame of operation.
a = 0.1 B= 1.9 (a + B)/2 = 1Step by Step Solution
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