Oladimeji_hw10
xlsm
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School
University of California, Los Angeles *
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Course
403
Subject
Industrial Engineering
Date
Feb 20, 2024
Type
xlsm
Pages
16
Uploaded by PresidentHorse4119
Template for Waiting Line Analysis
© 1999-2002 by Armann Ingolfsson
M/M/s
M/M/s/s+C (M/M/s finite capacity)
M/M/s with finite arrival population (finite population)
M/G/1
NOTE TO 413 students: I include this worksheet so that the Queueing functions will wor
This workbook calculates performance measures for the following queueing models: Click on the worksheet tab of your choice and enter the required parameters.
The calculations in this workbook use some special functions that are defined in this workbook. If you wish to use these functions in another workbook, then save this workbook under another name. The functions will be available in that new workbook (even if you delete some of the worksheets).
rk.
In turning in your homework, you are asserting the following:
The answers represent your own the work.
You did not copy answers from any other students, copied their files or portions thereof, took screenshots of their work, or access any answers through websites that may have obtained this homework and posted the answers. You can consult with other students in your class, but they did NOT send you their file, or a part of their file, that you then copy and paste into your own file and claim as your own work, or copy their write-up, changing a few words here and there. You did not take screenshots of their work. Similarly, if you are being asked for help, you should not email your completed file to the student(s) who asking for help. To do any of these things constitutes academic misconduct, and will result in an F for the course.
TYPE YOUR NAME BELOW IN ROW 22 ATTESTING THAT THIS ASSIGNMENT REPRESENTS YOUR OWN WORK AND YOU DID NOT SEND YOUR FILE TO ANYONE ELSE
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"A" classification %
10%
"C" classification %
1%
$ 135.00 18.18%
Hourly Salary of Buyer
$ 22.00 0.10
Lead time (in days)
1
Days in the year (assume 365)
365
Annual Holding cost for each item category
Annual Holding cost for each item category
Time needed to place each order (IN HOURS)
Item Name/Description
Acetaminophen supp.
3133
$0.43
$1,347.19
Fentanyl inj.
6460
$0.35
$2,261.00
Oxymetazoline nose spr
1248
$1.87
$2,333.76
Sensorcaine® inj.
1799
$1.45
$2,608.55
Albuterol inh. nebule
28800
$0.11
$3,168.00
Acetaminophen oral liq.
11063
$0.29
$3,208.27
Ketorolac inj.
3710
$0.98
$3,635.80
Morphine inj.
10750
$0.47
$5,052.50
Ampicillin inj.
4810
$1.26
$6,060.60
Heparin flush syringe
4140
$1.66
$6,872.40
Ciprodex otic drops
1632
$5
$7,344.00
Ibuprofen oral susp.
12400
$0.65
$8,060.00
Morphine carpuject inj.
12,500
$0.78
$9,750.00
Methotrexate liq. Inj.
358
$34
$12,172.00
Ifex® inj.
126
$160
$20,160.00
Lorazepam inj.
22225
$0.94
$20,891.50
Ambisome® inj.
497
$51.62
$25,655.14
Winrho® inj.
46
$635
$29,210.00
Rituxan® inj.
74
$447
$33,078.00
Thymoglobulin inj.
100
$369
$36,900.00
Cefotaxime inj. syringe
12,996
$3.02
$39,247.92
Suprane® inhalant
408
$106
$43,248.00
Infuvite inj.
846
$52
$43,585.92
Vfend® inj
479
$91
$43,589.00
Mylotarg® inj.
21
$2,215
$46,515.00
Prevnar® inj
805
$63
$50,715.00
Neupogen® inj.
290
$184
$53,360.00
Synagis® inj
102
$600
$61,149.00
Oncaspar® inj.
55
$1,466
$80,630.00
Aldurazyme® inj.
138
$649
$89,562.00
Lupron® Depot inj.
82
$1,162
$95,284.00
Rituxan® inj.
46
$2,234
$102,764.00
Thrombin® top. Inj
504
$252
$127,008.00
Novoseven inj.
89
$1,697
$151,033.00
Curosurf® ETT soln
345
$465
$160,425.00
Polygam® inj.
400
$406
$162,400.00
Gammunex® inj
176
$1,020
$179,520.00
Cytogam® inj
243
$743
$180,549.00
Ultane® inhalant
1134
$213
$241,542.00
Zofran® inj.
24060
$17
$409,020.00
Remicade® inj.
828
$543
$449,604.00
Botox® inj.
1164
$457
$531,948.00
TOTAL
$3,582,467.55
Demand (D)
Contract price/unit
Total product cost
% of Total Product Cost
ABC Classification
TOTAL
Hold costs per year
Annual Holding Cost/unit (H)
Order cost (S) Q=√(2DS) /
H
ROP=Demand per day times Lead Time
Annual Inventory Management Cost Q/2*H + D/Q*S
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Investment Cost (Q times contract price per unit)
M/M/s Queueing Calculations
Basic Parameters
COST Parameters (Cos
Arrival Rate
per hour
Service Rate
per hour
Number of Servers
Time Unit
hour
Basic Performance Measures
Utilization
#VALUE!
P(0), probability that the system is empty
#VALUE!
Lq, expected number in queue
#VALUE!
L, expected number in system
#VALUE!
Wq, expected time in queue
#VALUE!
hours
W, expected total time in system
#VALUE!
hours
Probability that customer waits
#VALUE!
Advanced Parameters
Threshold time
0.016667
hours
Desired service level
95%
Advanced Performance Measures
Current service level
#VALUE!
#VALUE!
Busy Server c
b
Idle Server c
i
Customer Waiting c
w
Customer being Served c
s
Number of servers required to achieve desired service level
Note: this worksheet uses some
that are defined in this workboo
HINT: Pages 494-496 of the Analytics text will be helpful
CAPACITY ANALYSIS and COSTS
st/Hour)
# of staff = 1
2
3
Customer Waiting Cost
Customer being Served Cost
Total Cost
# in system
# waiting
Time in system
Time waiting
Utilization
Probability system is empty
Busy Server Cost C
B
Idle Server Cost C
I
e special functions ok.
Summarize your recommendation regarding the number of staff and your rational
number. Create a chart that shows what you think is the key argument of your recommendation, and refer to it in your summary.
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4
le for that NOTE for the columns of 1,2, and 3 servers: After completing the calculations or copying the relevant data into each cell, do a COPY->PASTE SPECIAL->VALUES
on that column of data. Otherwise, the data will change as you change the number of servers in cell B6.
Leave all your formulas in the cells for the column of 4 servers so that I can check your programming logic.
month
month_num
visits
Jan-17
1
464
Feb-17
2
439
Mar-17
3
463
Apr-17
4
430
May-17
5
462
Jun-17
6
495
Jul-17
7
695
Aug-17
8
618
Sep-17
9
517
Oct-17
10
540
Nov-17
11
474
Dec-17
12
495
Jan-18
13
589
Feb-18
14
588
Mar-18
15
667
Apr-18
16
656
May-18
17
644
Jun-18
18
588
Jul-18
19
1178
Aug-18
20
1029
Sep-18
21
840
Oct-18
22
732
Nov-18
23
780
Dec-18
24
875
Jan-19
25
834
Feb-19
26
952
Mar-19
27
785
Apr-19
28
701
May-19
29
731
Jun-19
30
786
Jul-19
31
1112
Aug-19
32
1105
Sep-19
33
814
Oct-19
34
848
Nov-19
35
774
Dec-19
36
842
Jan-20
???
Conduct a regression analysis using the 3 years of data, a
regression on a new worksheet, and name the worksheet
assignment assumes that it is currently the end of Decem
Question 1: Is there trend in your data? Type YES or N
Question 2: Using a 12 month moving average, what woul
Put your calculation in cell R14.
Question 3: Based on your regressions results for estimati
for the month of Jan 2020? This calculation does not
dep
Put your calculation in cell R17, clicking on the appropriat
Question 4: Suppose a pandemic hit your organization's c
regarding forecast error in February if you use a 12 month
and then answer the following questions below. Put the t "regression" (without the quotation marks). This mber in 2019.
NO, and provide a rationale for your answer using your regression results in your answer.
ld the prediction for the number of visits be for the month of Jan 2020? ting trend, what is your prediction for the number of visits pend on your answer in cell R14. It is a separate analysis.
te cell of your regression results on your regression worksheet.
community at the very end of January 2020. What might you expect
h moving average to predict February's 2020 visit demand?
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X1
Y1
X2
Y2
X3
cost per nurse per shift
# nurses
DAILY COST
shift 1 constraint
shift 2 constraint
shift 3 constraint
10% overtime constraint
Results
X1
Y1
X2
Y2
X3
Including 10% constraint
Excluding 10% constraint
# Shift 1 who don't work overtime
# Shift 1 who do work overtime
# Shift 2 who don't work overtime
# Shift 2 who do work overtime
# Shift 3 who don't work overtime
Y3
RHS
# used
Y3
Total Daily Cost
Difference
365 days/yr
# Shift 3 who do work overtime
Annual Cost Difference
According to an article in USA Today, the US discards more kidneys for transplant than France, and has Estimates are that about 100,000 people are waiting for a kidney transplant. About 23,500 kidney transplants are performed per year.
The USA Today article said that the US discards about 3,500 kidneys per year that become available for
(https://www.usatoday.com/story/news/nation/2019/08/29/us-throws-away-3-500-donated-kidneys-
QUESTION 1: Assuming no one dies waiting for a kidney, how long do people wait, on average, for a k
Use Little's Law to solve this question by completing cells O13, P13, and Q13. Remember that knowing any two of the parameters provides the information you need solve the thir
QUESTION 2: Suppose that 90% of the kidneys currently discarded annually could instead also be used. Assuming no one dies waiting for a kidney, how long would people wait, on average, for a kidney transpl
Use Little's Law to solve this question by completing cells O19, P19, and Q19.
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Make sure that one of the cells has a formula in it!
L
l
W
Make sure that one of the cells has a formula in it!
L
l
W
lower quality outcomes.
r transplant for a variety of reasons.
-per-year-study-says-heres-why/2139644001/)
kidney transplant?
rd one.
lant with this additional supply?