Can you do this question without excel?

Consider two different machines A and B that could be used at a station. Machine A has a mean effective process time te of

$1$

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$0$

$$hours and an SCV ce

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$2$

$$of

$0$

$.$

$2$

$5$

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$$Machine B has a mean effective process time of

$0$

$.$

$8$

$5$

$$hour and an SCV of four.

a

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$$For an arrival rate of

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$9$

$2$

$$job per hour with ca

$^$

$2$

$=$

$1$

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$$which machine will have a shorter average cycle time?

b

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$$Now put two machines of type A at the station and double the arrival rate

$($

i

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e

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$,$

$$double the capacity and the throughput

$)$

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$$What happens to cycle time? Do the same for machine B

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$$Which type of machine produces shorter average cycle time?

c

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$$With only one machine at each station, let the arrival rate be

$0$

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$9$

$5$

$$job per hour with ca

$^$

$2$

$=$

$1$

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$$Recompute the average time spent at the stations for both machine A and machine B

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$$Compare with a and explain the difference in results.

d

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$$Consider the station with one machine of type A

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i

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$$Let the arrival rate be one

$-$

half. What is the average time spent at the station? What happens to the average time spent at the station if the arrival rate is increased by one percent

$($

i

$.$

e

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$,$

$$to

$0$

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$5$

$0$

$5$

$)$

$?$

$$What percentage increase in wait time does this represent?

ii

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$$Let the arrival rate be

$0$

$.$

$9$

$5$

$.$

$$What is the average time spent at the station? What happens to the average time spent at the station if the arrival rate is increased by one percent

$($

i

$.$

e

$.$

$,$

$$to

$0$

$.$

$9$

$5$

$9$

$5$

$)$

$?$

$$What percentage increase in wait time does this represent?