[solved]-Problem 1 Consider Emergency Department Local Emergency Room Er Unc Hospital Medical Direc Q39740932

Problem 1

Consider an emergency department, such as the local emergencyroom (ER) at the UNC hospital. You are the medical director andhave been asked to perform capacity analysis for the systemflow.

When a patient arrives to the ER, they are first seen by atriage nurse. This nurse identifies their illness severity leveland then makes a decision on whether the patient should be seenimmediately by a doctor or if they can be seen by a nurse first. Weconsider two types of patients: severe and non-severe patients.Severe patients go directly to seeing a specialized doctor, whoonly sees severe patients. After treating these severe patients,the doctor discharges these patients from the emergency room.

The remaining patients are seen by a nurse who then has 2options:

1. Treat patient and then order laboratory tests
2. Treat patient and then refer to doctor for further treatment;these doctors only see non-severe patients

In either case, patients are then discharged after either havinglab tests done or seeing the doctor. After collecting data forseveral months and spending time watching the ER in action, youhave observed the following:

• On average, only 10% of patients who arrive need to be seen bythe doctor with a severe condition. The remaining can be seen by anurse who can then decide the next step.
• On average, 25% of patients only require lab tests and then canbe discharged. The remaining 75% require being seen by a doctorbefore being discharged.
• This ER is very efficient, and patients are transferred betweenstations essentially instantaneously (in other words, there is notransit time).

For clarity, the process flow diagram is illustrated as follows.The number of staff assigned to each station can be seen in theparentheses, and the processing times follow in the table.

Resources

Number of Service Providers
(employees)

Processing Time (min/customer)

Triage Evaluation

1

2

Nurse Treatment

2

5

Doctor Treatment (severe)

1

20

Doctor Treatment (non-severe)

2

10

Laboratory Test

2

5

As the medical director, you want to be able to answer thefollowing questions:

1. What is the capacity of each resource in the ER) innumber of patient-arrivals per hour? Note thatpatient-arrivals include both severe and non-severe patients.(provide answer in 1 decimal point)
   1. Identify the bottleneck(s). What is the system capacity of theER in number of patient-arrivals per hour? What isthe slack of each resource in patient-arrivals per hour?
      1. If the ER adds one additional unit for the bottleneckresource(s), where would that resource be added and what would bethe new system capacity and bottleneck(s)?

      Problem 2

      When patients are discharged from the ER, many of them drivearound the corner to the local restaurant, “Sal’s Shack withBurgers.” The Shack offers fries and high-quality burgers. If acustomer (who was a former patient) orders a burger, the cook mustuse a grill. If the customer orders some French fries, they mustuse a fryer. All patients stay an average of 20 minutes. Thefollowing information has been collected about Sal’s.

      Resource

      Amount of Resource

      Parking Spaces

      10

      Restaurant Seats

      12

      Grills

      4

      Fryer

      2

      Cash Register Employees

      2

      If there are no available parking spaces, a customer leaves. Onaverage, customers arrive 2 per car. Each employee at the cashregister can handle a single customer and can handle an order in2.5 minutes. 80% of the arriving customers order a burger, and 60%of customers order fries. All customers wait in one line. Assumethat all customers place an order, they order either fries or aburger (or both) and that each customer places their orderindividually (even if they arrive with other customers). The fryertakes 5 minutes to process an order whereas the grill takes 10minutes to process an order.

      1. What is the capacity of each resource incustomer-arrivals per hour?
      2. Identify the system bottleneck. What is thesystemcapacity in customer-arrivals perhour?

      Problem 3

      This is a continuation of Problem 2; please continue to use theabove information.

      1. If the demand at Sal’s is greater than or equal to the capacityof the bottleneck (which it is most of the time), what is theutilization of each resource? Please round to the nearest 1%.
      2. The UNC basketball team is playing nearby on Saturday, andSal’s is expecting a surge in customer arrivals. The owner expects20 cars per hour, with on average 2 customers per car. Whatresources would need to upgrade capacity in order to accommodatethis level of demand?How many units would need to be added to eachof the resources requiring upgraded capacity? (Note: you cannot addpartial units of a resource!)

      Expert Answer

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      Answer to Problem 1 Consider an emergency department, such as the local emergency room (ER) at the UNC hospital. You are the medic… . . .

      OR

      Place New Order
      

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