Week Day Arrival Departure WI Question 3 (9 points: 3, 2, 3,1) A facility conduc

Question

Week Day Arrival Departure WI Question 3 (9 points: 3, 2, 3,1) A facility conducts residential health clinic program and a new batch of 80 people starts a program in the mornings of Monday, Wednesday and Friday (three programs per week). People arrive the night before the program starts. Average stay is 3 days (people arriving Sunday night for the Monday morning program, leave on Wednesday). On any given night new arrivals come after earlier people have left. Assume that there are no people in the facility prior to week 1 (a) Complete all entries in the table to the right Assume that the steady state is reached after week 2 (if you add week 3 to the table, all numbers will be the same as week 2) and answer parts (b), (c) and (d) from the data given above and values you filled in the table. Round off to 2 decimal places (b) What is the flow rate per day? (c) What is the (average) WIP? (d) Verify Little's formula Sun Mon Tue 1 Wed Thu Sun Mon Tue 2 Wed Thu Sat

Explanation / Answer

(a) As per given arrival and departure pattern, the complete table is as follows

(b) Flow rate per day = Total arrivals/14 days = 480/14 = 34.28

(c) Average WIP = Total WIP / 14 days = 1440/14 = 102.85

(d) According to Little's law, WIP(L) = W

Average cycle time, W = L/ = 102.85/34.28 = 3 days

It is given in the question that the program duration is 3 days. Therefore, Little's law is verified.

Week Day Arrival Departure WIP 1 Sun 80 Mon 80 80 Tue 80 Wed 80 80 160 Thu 80 Fri 80 80 160 Sat 80 1 Sun 80 80 Mon 80 80 Tue 80 Wed 80 80 160 Thu 80 Fri 80 80 160 Sat 80

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