Lab Module 10 Simulation-based Optimization

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Lab Module 10 Simulation-based Optimization Copyright © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

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 © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

Video 1 – Simulation-based Optimization Want to select the “best” allocation of 10 buffer slots. B2 B2 Define “best” using throughput - maximize B2 Copyright © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

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 © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

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 © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

Video 2 – Emergency Department Model Revisited (cont.) Define patient “Satisfaction” as the proportion of patients who spend no more than 30 minutes waiting. Copyright © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

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 © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

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 © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved

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 © 2013 - Jeffrey S. Smith and Simio LLC | All Rights Reserved