Module $2$: Capacity Analysis

Instructions

$1.$ You will do this homework on your own.

$2.$ Read each of the two scenarios and answer the three questions related to each.

$3.$ Your responses should be submitted as a pdf through the appropriate place in

Blackboard.

$4.$ Solutions will be posted after grading is complete.

$5.$ The rubric for all problem sets is included in the course syllabus.

$6.$ Prerequisite:

$$ Anupindi, R$.(2012).$ Managing business process flows: Principles of operations management.

Boston, MA: Prentice Hall. Chapter $4.$

$$ Chambers. $(2011).$ Process analysis: Definitions, tools, and insights. Unpublished manuscript.

$$ Mango, P$.,$ & Shapiro, L$.(2001,$ May$).$Hospitals get serious about operations. McKinsey Quarterly

Scenario One

The Pediatric ED is currently organized so that all patients register through an initial check$-$in process.

In turn, each patient is seen by a doctor and then exits the process, either with a prescription or with

admission to the hospital. Currently, $55$ people per hour arrive at the ED$,10\%$ of whom are admitted

to the hospital. On average, seven people are waiting to be registered and $34$ are registered and

waiting to see a doctor. The registration process takes, $4$ minutes per patient. Among patients who

receive prescriptions, average time spent with a doctor is $10$ minutes. Among those admitted to the

hospital, average time is $30$ minutes. Assume that the process is stable, meaning that average inflow

rate equals average outflow rate, and answer questions $1,2,$ and $3.$

You Need to Clearly Answer the Following Questions:

$1.$ On average, how long does a patient spend in the ED$?$

$2.$ On average, how many patients are being examined by doctors?

$3.$ On average, how many patients are there in the ED$?$

Scenario Two

The Chambers Canadian Hernia Clinic is a single$-$condition medical facility that performs hernia

surgeries. Some surgeries are for single hernias and others are for double hernias. $($If you don$$t know

what a hernia is$,$ consider yourself lucky.$)$ On average, one third of the patients checking in each day

Last updated on $29$ July $2019$

have double hernias. These patients generally stay for $3\mathrm{.}6$ nights$$twice as long as the average

patient with a single hernia. Answer questions $4,5,$ and $6$ about the clinic.

$4.$ Assume that on an average day $135$ patients check in$.$ How many patients of each type are in

the clinic on a given day?

$5.$ How many times per month does the clinic turn over its inventory of patients? $($Assume it

operates $7$ days per week and has $30$ days in each month.$)$

$6.$ Assume that a fee for the actual procedure is paid by the government, but the patient pays for

the room. The average double hernia patient pays a rate of $$250$ per day and a single hernia

patient pays an average of $$210$ per day. What is the average revenue the clinic receives per

day per occupied room?