Question: Given the previous analyses based on the observed inter-arrival times between the orders and the times to process them (see the two spreadsheets provided in

Given the previous analyses based on the observedGiven the previous analyses based on the observedGiven the previous analyses based on the observed

Given the previous analyses based on the observed inter-arrival times between the orders and the times to process them (see the two spreadsheets provided in the previous questions), the site manager hopes to estimate the average time to get an order ready for pickup. Please note that this time includes both the duration an order needs to wait before it can be processed by an in-store shopper, and the processing time by the shopper (shopping, checkout, and moving the the staging area). The following diagram illustrates the waiting line model. In queueing terms, the time to be estimated is the "system time". Tasks: Shopping Checkout & moving to staging area (and coming back) i AI Tasks: Shopping Checkout & moving to staging area and coming back) Incoming orders Outstanding orders i Tasks: Shopping Checkout & moving to staging area (and coming back) Outstanding orders are assigned to in-store shoppers once they complete their current order With 11 in-store shoppers, what is the average time to get an order ready for pickup (in minutes), based on the Pollaczek-Khinchine formula? B B Interarrival_times_(minutes) 2.8 B 6.4 3.5 5 0.1 5 1.5 3.3 B 0.8 - 7.1 0 1 2. 3 4 5 6 7 8 9 0 1 2. 3 4 5 6 0.8 1.2 0.1 12.8 8.1 3.7 3.6 8.1 4.1 0.7 2.7 5.2 3.3 0.5 0.6 10 w TN N #1 19 Time of picking items Time fo checkout and Order # (minutes) moving to the staging area (minutes) 27 7 #2 13 4 #3 10 6 #4 17 5 #5 25 25 #6 12 12 #7 7 2 #8 26 11 #9 37 37 #10 18 18 #11 19 #12 33 33 #13 14 14 #14 26 26 #15 31 #16 23 23 #17 39 14 #18 14 4 #19 60 20 #20 41 11 #21 29 11 #22 19 5 #23 34 9 #24 21 6 #25 36 15 31

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