(a) For the Standard car wash, station A4 is having the highest cycle time of 15
ID: 372911 • Letter: #
Question
(a)
For the Standard car wash, station A4 is having the highest cycle time of 15 min i.e. lowest capacity. So, A4 is the bottleneck for a Standard car wash.
Similarly, for the Deluxe, car wash, station A6 is having the highest cycle time of 20 min i.e. lowest capacity. So, A6 is the bottleneck for a Deluxe car wash.
(b)
The capacity of Standard car wash = 60/15 = 4 cars per hour.
The capacity of Deluxe car was = 60/20 = 3 cars per hour
(c)
Average capacity = 60% x 4 + 40% x 3 = 2.4+1.2 = 3.6 cars per hour
(d)
For Standard car wash, waiting lines will be observed before A2, A3, and A4 because they are slower than their corresponding previous process.
For Deluxe car wash, waiting lines will be observed before A2 and A6 because both are slower than their corresponding previous process.
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!
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