Module 2 problems Operations Management

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Oct 30, 2023

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Vincent Ray October 8, 2023 LO3-2, 3-3 1. It takes a barber 15 minutes to serve one customer. a. What is the capacity of the barber expressed in customers per hour? 4 customers per hour b. Assuming the demand for the barber is two customers per hour, what is the flow rate? 2 customers per hour (min= (4,2)) c. Assuming the demand for the barber is two customers per hour, what is the utilization? 50% (2/4=.5) d. Assuming the demand for the barber is two customers per hour, what is the cycle time? Cycle time: 1/2 2. A community health system’s nurse team consists of 12 nurses working in the local community. It takes a nurse 1.5 hours to complete one patient visit (including travel time and breaks). a. What is the capacity of the nurse team over the course of a 9-hour workday? 72 patients per day b. Assuming the demand for the nurses is 60 patients per day, what is the utilization of the nurse team? 83% (60/72=.83) c. Assuming the demand for the nurses is 60 patient s per day, what is the cycle time? 9.09 min per patient (9x60=540 min) (60demand/540 min=.11) (1/.11=9.09) LO3-1, 3-2, 3-4, 3-5 3. Consider a process consisting of three resources. Assume there exists unlimited demand for the product.

a. Resource 1 has a processing time of 6 minutes per unit. b. Resource 2 has a processing time of 3 minutes per unit. c. Resource 3 has a processing time of 5 minutes per unit. All three resources are staffed by one worker. a. Draw a process flow diagram of this process. b. What is the capacity of resource 2? 1/3= .33 per minute c. What is the bottleneck in the process? Resource 1 d. What is the utilization of resource 2? 50% (3/6= .5) e. How long does it take the process to produce 200 units starting with an empty system, assuming this is a worker-paced process? 1,208 minutes (14 min+199x6) 4. A small, privately owned Asian company is producing a private-label soft drink called Yoggo. A bottling line puts the soft drinks into plastic bottles and then packages the bottles into boxes holding 10 bottles each. The bottling line is comprised of the following four steps: (1) the bottling machine takes 1 second to fill a bottle, (2) the lid machine takes 3 seconds to cover the bottle with a lid, (3) a labeling machine takes 3 seconds per bottle, and (4) the packaging machine takes 4 seconds to place a bottle into a box. When a box has been filled with 10 bottles, a worker tending the packaging machine removes the filled box and replaces it with an empty box. Assume that the time for the worker to remove a filled box and replace it with an empty box is negligible and hence does not affect the capacity of the line. Problem data are summarized in the following table. Process Seconds Bottling 1 Lid 3 Label 3 Packaging 4 Resource 1 Resource 3 Resource 2

a. Draw a process flow diagram of this process. b. What is the capacity (bottles/hour) at the resource “Apply a lid”? 1200 bottles per hour (1/3=.33x60 sec=20 bottles per minute) (20x60min=1200) c. What is the bottleneck in the process? Resource 4 or packaging (.25) d. Assuming unlimited demand, what would be the flow rate? Flow rate: .25 bottles per second (Unlimited, .25) e. Assuming unlimited demand, what would be the utilization at resource “Apply a lid”? Utilization: 75% (Flow rate/capacity) (.25/.33=.75) f. Assume the process started empty and that this is a machine-paced process. How long would it take to produce 500 bottles? 33.45 minutes (11 seconds+499x4=2,007 seconds) 5. Glenn Dental Clinic provides general dental care to residents of Philadelphia on a walk-in basis. The clinic has started receiving complaints from patients that the waiting time is too long and has asked you to investigate whether this problem can be solved. Upon arrival, customers first receive a series of paperwork from the receptionist and fill out relevant information such as personal health records and insurance provider. The form is then handed back to the receptionist who enters the information into the computer system for the dentist to see. A dental assistant then takes an X-ray from the patient. A dentist then performs the checkup and discusses any issues with the patient. Based on conversations with staff members at the clinic, you have obtained the following information on the process: a. It takes about 5 minutes for a customer to fill out the paperwork. b. Entry of information on the paperwork into the system and verification with past records takes another 5 minutes for a receptionist. There are two receptionists. c. It takes 15 minutes, on average, for the dental assistant to take an X-ray. There are three dental assistants on shift at any moment. Resource 1 Resource 3 Resource 2 Resource 4

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