Q 2c18. Ms. Case is interested in setting up a screening experiment to identify
ID: 2908452 • Letter: Q
Question
Q 2c18.
Ms. Case is interested in setting up a screening experiment to identify significant (and in significant) factors affecting warehouse throughput. Three factors have been identified:
Retief practice for staff (Mass relief vs. tag relief)
Machine availability (3 or 4 automatic storage and retrieval systems)
Staffing levels (30 or 35 FTEs)
Assume that Ms. Strange has completed five replications of the eight runs laid out in the factorial design matrix in (a).
You get the following results:
RUN
Rep 1
Rep 2
Rep 3
Rep 4
Rep 5
Sum
Avg
Var
1
4014
4016
4011
4015
4018
20074
4024.38
6.70
2
4021
4014
4012
4014
4013
20074
4025.74
12.70
3
4014
4016
4017
4018
4015
20080
4027.57
2.50
4
4017
4014
4014
4018
4015
20078
4029.88
3.30
5
4033
4034
4034
4034
4032
20167
4033.45
0.80
6
4034
4032
4032
4032
4036
20166
4033.47
3.20
7
4031
4031
4031
4034
4032
20159
4033.60
1.70
8
4034
4037
4034
4035
4037
20177
4044.40
2.30
1) Determine which of three factors are significant, using an Analysis of Variance (ANOVA) model and an ? value of 0.05?
2) Can you say anything about interaction between any of the factors?
3) Assuming that more throughput is desirable, determine the overall best setting of the three factors to optimize performance?
To assist in your calculations, you may assume that the Grand Sum of overall runs and replication is 160,975 and that the variance of the entire sample is 88.86.
NOTE: This question is for Industrial Engineering stream for Simulation & Modelling Analysis subject. Please help in answering all 1, 2, and 3 sections.
RUN
Rep 1
Rep 2
Rep 3
Rep 4
Rep 5
Sum
Avg
Var
1
4014
4016
4011
4015
4018
20074
4024.38
6.70
2
4021
4014
4012
4014
4013
20074
4025.74
12.70
3
4014
4016
4017
4018
4015
20080
4027.57
2.50
4
4017
4014
4014
4018
4015
20078
4029.88
3.30
5
4033
4034
4034
4034
4032
20167
4033.45
0.80
6
4034
4032
4032
4032
4036
20166
4033.47
3.20
7
4031
4031
4031
4034
4032
20159
4033.60
1.70
8
4034
4037
4034
4035
4037
20177
4044.40
2.30
Explanation / Answer
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