process flow standard a1 a2 a3 a4 a8 Time in minutes 5 6 12 15 10 deluxe a1 a2 a
ID: 372913 • Letter: P
Question
process flow
standard
a1
a2
a3
a4
a8
Time in minutes
5
6
12
15
10
deluxe
a1
a2
a5
a6
a7
a8
Time in minutes
5
6
5
20
12
10
.
A4 takes the longest time for standard wash. Hence, Bottleneck is A4 with 15 minutes
A6 takes the longest time for standard wash. Hence, Bottleneck is A6 with 20 minutes
Capacity of standard wash= capacity of bottle neck= 60 minutes /15= 4 customers per hour
Capacity of deluxe car wash= 60 /20 = 3 minutes per hour
Another method:
If there are 100 customers, 60 customers go to standard and 40 go to deluxe.
Assumption-
For standard, this is at A2, A3 andA4.
For deluxe, this is atA2 and A6
If arrival rate is higher than the processing time of A1, then waiting can happen before A1 for both standard and deluxe
So
For standard, this is at A1, A2, A3 andA4.
For deluxe, this is atA1, A2 and A6
process flow
standard
a1
a2
a3
a4
a8
Time in minutes
5
6
12
15
10
deluxe
a1
a2
a5
a6
a7
a8
Time in minutes
5
6
5
20
12
10
Explanation / Answer
EM360: HW6 Instructions Submit this homework before 8am on Thursday November 3oth, 2017. Submit Q1 and Q2 by uploading a Word document, Excel sheet, or a PDIF to the corresponding Canvas assignment (please don't submit photos of you hand-written work as PDFs unless you have very neat handwriting!) Bill's Car Wash offers two types of washes: Standard and Deluxe. The process flow for both types of customers is shown in the following chart. Both wash types are first processed through steps Al and A2. The Standard wash then goes through steps A3 and A4 while the Deluxe is processed through steps A5, A6, and A7. Both offerings finish at the drying station (A8). The numbers in parentheses indicate the minutes it takes for that activity to process a customer. A3 (12) A4 A8 (10) A1 A2 or Deluxe Deluxe A7 (12) A5 A6 a. Which step is the bottleneck for the Standard car wash process? For the Deluxe car wash process b. What is the capacity (measured as customers served per hour) of Bill's Car Wash to process Standard and Deluxe customers? Assume that no customers are waiting at step A1, A2, or A8. c. If 60 percent of the customers are Standard and 40 percent are Deluxe, what is the average capacity of the car wash in customers per hour? d. Where would you expect Standard wash customers to experience waiting lines, assuming that new customers are always entering the shop and that no Deluxe customers are in the shop? Where would the Deluxe customers have to wait, assuming no Standard customers!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.