Operations Management

Question 1

You want to estimate the average unit process time (a.k.a. activity time), p, at a server. You are told that there are three identical parallel resources (m = 3), the server works for 8 hours or 480 minutes each day, the average utilzation at this server is 0.7 (or 70%), and the customer arrival rate is 80 units / day.

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Among the options below pick the one that most correctly estimates the average unit activity time, p, corresponding to the above data.

a. Less than 3 minutes
b. At least 3 minutes but less than 6 minutes
c. At least 6 minutes but less than 9 minutes
d. At least 9 minutes but less than 12 minutes
e. At least 12 minutes but less than 15 minutes
f. At least 15 minutes
g. Cannot say

10 points

Question 2

Chapter 8: UP Fitness will install 3 new “trapezoidal gel-resistance toners” (“trappy” for short), the latest exercise gadget, specifically designed to contour upper back muscles. Clients who want to use these machines arrive at the rate of 72 per hour. The coefficient of variation of the inter-arrival times is 3. If all three machines are busy, UP Fitness clients use other pieces of equipment, waiting for one of the trappies to become available. The trappy experience is intense – 120 seconds of explosive exercise intensity. The standard deviation of the usage times (measured in seconds) is somewhat small – only 60 seconds.

On average, how many UP Fitness clients are waiting to use a trappy?

a. Less than 2
b. At least 2 but less than 5
c. At least 5 but less than 8
d. At least 8 but less than 11
e. At least 11 but lest than 14
f. At least 14

10 points

Question 3

A pediatric practice has 5 physicians. Historically, patients were assigned to one physician and the same physician always treated these patients. For example, Alice’s patients always visited her (for “well visits” and “sick visits”) and never interacted with the other physicians. However, they have decided to change how they see patients. Now patients will be seen by whoever is available (i.e., a working physician who is not busy treating other patients). Based on our discussion of queuing theory, which of the three outcomes below are likely to occur due to this change?

i) The coefficient of variation of patient inter-arrival times will increase

ii) The utilization of each physician will increase

iii) The average number of patients actually with a physician (that is, “inventory in process”) will increase

a. i only
b. ii only
c. iii only
d. i and ii only
e. i and iii only
f. ii and iii only
g. all of them (i, ii and iii)
h. none of them (neither i, ii and iii

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