Healthcare management engineering
Budget: $30 – $250 USD
1. Simulate an M/G/1 queue in Simio. Assume that arrivals follow a Poisson distribution with a rate of 3.5 per hour and service times follow a Triangular distribution with a min of 0.1 hrs, mode of 0.25 hours, and max of 0.30 hours. Simulate the queue for 10 replications of 24 hours each.
a. Upload your Simio file as an attachment. What is the expected number of customers in the system (L)? How long would you expect a customer to spend in the system (W)?
b. It is known that for the Triangular distribution as specified in this problem, the mean service time is 0.21667 hrs and the standard deviation is 0.04254 hours. In a few sentences, comment on the expected number of customers in the system (L) and the expected time in the system (W) for the simulated results compared to those calculated using QAT.
2. Simulate a single provider urgent care facility in Simio. The facility has a waiting room and a single examination room. Patients arrive according to a Poisson distribution at a rate of 1.75 per hour. Upon arriving to the facility, the patients are first checked in by a frontline worker and then seen by a provider. The time that it takes a patient to be checked in follows a Triangular distribution with a min of 2.5 min, mode of 10 min, and max of 13min. After being checked in, the patient then waits to be seen by a provider. The amount of time spent by a provider with a patient follows a Triangular distribution with a min of 12 min, mode of 25 min, and a max of 35 min. Simulate this urgent care facility for 5 replication of 500 hours each.
a. Upload your Simio file as an attachment
b. What is the expected amount of time that an arriving patient will spend at the urgent care clinic? What would the expected wait time in queue be before the patient is seen by the provider?
3. Simulate a clinic where patients arrive at a rate of 2.5 per hour following a Poisson distribution. The time that it takes for a patient to be checked by a doctor follows a Triangular distribution with a min of 40 min, mode of 60 min, and a max of 100 min. There are 3 doctors available within the clinic. Simulate this clinic for a single replication of 5000 hours.
a. Upload your Simio file as an attachment
b. What would the expected wait time in queue for a patient?
c. The management is concerned with the amount of time a patient must wait in the queue before being seen by a doctor. If they added a fourth doctor, what would be the new value for the expected wait time in queue for a patient?
a. Upload your Simio file as an attachment. What is the expected number of customers in the system (L)? How long would you expect a customer to spend in the system (W)?
b. It is known that for the Triangular distribution as specified in this problem, the mean service time is 0.21667 hrs and the standard deviation is 0.04254 hours. In a few sentences, comment on the expected number of customers in the system (L) and the expected time in the system (W) for the simulated results compared to those calculated using QAT.
2. Simulate a single provider urgent care facility in Simio. The facility has a waiting room and a single examination room. Patients arrive according to a Poisson distribution at a rate of 1.75 per hour. Upon arriving to the facility, the patients are first checked in by a frontline worker and then seen by a provider. The time that it takes a patient to be checked in follows a Triangular distribution with a min of 2.5 min, mode of 10 min, and max of 13min. After being checked in, the patient then waits to be seen by a provider. The amount of time spent by a provider with a patient follows a Triangular distribution with a min of 12 min, mode of 25 min, and a max of 35 min. Simulate this urgent care facility for 5 replication of 500 hours each.
a. Upload your Simio file as an attachment
b. What is the expected amount of time that an arriving patient will spend at the urgent care clinic? What would the expected wait time in queue be before the patient is seen by the provider?
3. Simulate a clinic where patients arrive at a rate of 2.5 per hour following a Poisson distribution. The time that it takes for a patient to be checked by a doctor follows a Triangular distribution with a min of 40 min, mode of 60 min, and a max of 100 min. There are 3 doctors available within the clinic. Simulate this clinic for a single replication of 5000 hours.
a. Upload your Simio file as an attachment
b. What would the expected wait time in queue for a patient?
c. The management is concerned with the amount of time a patient must wait in the queue before being seen by a doctor. If they added a fourth doctor, what would be the new value for the expected wait time in queue for a patient?
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