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 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".

With 11 in-store shoppers, what is the average time to get an order ready for pickup (in minutes), based on the PollaczekKhinchine formula?

Note: 1. Round your answer to 2 decimal places.

2. Please make use of the two spreadsheets appeared in previous questions to perform the required calculations. Some of the intermediate results may already be available from earlier questions. However, please make sure that they are correct as they may affect the correctness of your answer to the current question.Given the previous analyses based on the observed

AutoSave OFF 9 ... Service_times (1) AutoSave OFF no @ @y... Interarrival_times Home Insert Draw Page Layout Formulas Data >> Tell me Share Comments Home Insert Draw Page Layout Formulas >> >> Tell me Share Comments A % o A. Fm V Conditional Formatting Format as Table Cell Styles % ma Conditional Formatting Format as Table Cell Styles Clipboard Font Alignment Number Cells Editing Analyze Sens Clipboard Font Alignment Number Cells Editing Se Data Analyze Data A2 4 x fx foc A2 2x fx 2.8 7 B D D E F F A B D E E F F G H 1 Time of picking items 1 Order # (minutes) 2 #1 27 3 #2 13 4 #3 10 5 #4 17 6 #5 25 7 #6 12 8 #7 7 9 #8 26 10 #9 37 11 #10 18 12 #11 19 13 #12 33 14 #13 14 15 #14 26 16 #15 31 17 #16 23 18 #17 39 19 #18 14 60 21 #20 41 22 #21 29 23 #22 19 24 #23 34 25 #24 21 26 #25 36 Time fo checkout and moving to the staging area (minutes) 7 4 6 6 5 25 12 2 11 37 18 19 33 14 26 31 23 14 4 20 11 11 5 9 1 Interarrival times (minutes) 2 2.8 3 3 6.4 4 4 3.5 5 0.1 6 1.5 7 3.3 8 0.8 9 7.1 10 0.8 11 1.2 12 0.1 13 12.8 14 8.1 15 3.7 16 3.6 17 8.1 18 4.1 19 0.7 20 2.7 21 5.2 22 3.3 23 0.5 24 0.6 25 10 20 #19 26 6 27 15 28 27 29 28 30 29 31 30 Sheet1 + Sheet1 + Ready a + 100% Ready 100% A +

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