1. Lab Module 10 Simulation-based Optimization
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2. Objectives and Outline
Lab Objectives
Continue learning basic Simio modeling
Learn to use Simio’s simulation-based optimization tools
OptQuest
Subset Selection
Select Best using KN
Lab Outline
Video 1 – Simulation-based Optimization
Video 2 – Emergency Department Model Revisited
Video 3 – Emergency Department Model Revisited (cont.)
Video 4 – Assignments
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved

3. Video 1 – Simulation-based Optimization
Want to select the “best” allocation of 10 buffer slots. B2 B2
Define “best” using throughput - maximize B2
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved

4. Video 1 – Simulation-based Optimization
Maximize: Throughput
Subject to
B2 + B3 + B4 ≤ 10
2 ≤ B2 ≤ 4
2 ≤ B3 ≤ 4
2 ≤ B4 ≤ 4 B2 B2 B2
Basic Procedure:
1. Use OptQuest to create the initial experiment
2. Use Subset Selection to identify candidates
3. Use Select Best Scenario Using KN to identify the “best”
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved

5. Video 2 – Emergency Department Model Revisited
Registration
Exam
Treatment
Trauma
Routine
Moderate
Severe
Cost = $2000 * Exam Capacity
+ $2500 * Treatment Capacity
+ $4000 * Trauma Capacity
+ $4000 * Nurse Capacity
+ $12000 * Doctor Capacity
+ $250 * Total Patient Waiting Hours
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved

6. Video 2 – Emergency Department Model Revisited (cont.)
Define patient “Satisfaction” as the proportion of patients who spend no more than 30 minutes waiting.
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7. Video 3 – Emergency Department Model Revisited (cont.)
Registration
Exam
Treatment
Trauma
Routine
Moderate
Severe
Cost = $2000 * Exam Capacity
+ $2500 * Treatment Capacity
+ $4000 * Trauma Capacity
+ $4000 * Nurse Capacity
+ $12000 * Doctor Capacity
+ $250 * Total Patient Waiting Hours
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved

8. Video 3 – Emergency Department Model Revisited (cont.)
Minimize Cost
Subject To:
Satisfaction ≥ 0.8
Define patient “Satisfaction” as the proportion of patients who spend no more than 30 minutes waiting.
2 ≤ Doctors ≤ 10
2 ≤ Nurses ≤ 15
2 ≤ Exam Rooms ≤ 10
2 ≤ Treatment Rooms ≤ 10
1 ≤ Trauma Rooms ≤ 5
Doctors + Nurses ≥ 6
Cost = $2000 * Exam Capacity
+ $2500 * Treatment Capacity
+ $4000 * Trauma Capacity
+ $4000 * Nurse Capacity
+ $12000 * Doctor Capacity
+ $250 * Total Patient Waiting Hours
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved

9. Video 4 - Assignment
Modify the Emergency Department model by creating referenced properties for the following parameters:
Satisfaction Threshold – Was arbitrarily set to 0.5 hour (30 minutes)
Nurse Cost – Was previously set to $4000
Exam Room Cost – Was previously set to $2000
Wait Time Cost – Was previously set to $250/hr
Create experiments to test the following configurations (note that a configuration is defined as (Satisfaction Threshold, Nurse Cost, Exam Room Cost, Wait Time Cost))
(0.5, 4000, 2000, 250) – This is the same as the configuration done in Video 3
(0.5, 2500, 2000, 250)
(1.0, 4000, 2000, 250)
(1.0, 5000, 2000, 100)
Hint: In your experiments, use the “Include in Optimization” property so that the new controls are held at their specified values as the optimization runs.
Copyright © Jeffrey S. Smith and Simio LLC | All Rights Reserved