Mink Hollow Media

Democratizing Information Technology

12: Example 1: A Hospital Emergency Department (Single Server Queuing System II)

Chapter 12

Here’s were we will put color versions of the images, updates, and other extras.

Here we will develop a different example of the same type of simulation as was developed in Chapter 8 and then look at several ways to modify it, such as adding customer priorities and preferences.

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  1. Hospital Emergency Department (Another Queuing System)
  2. System Analysis
    1. Reneging
    2. Triage – Two Priorities
    3. Tandem M/M/1 Queues
    4. Ambulance Entry – Jumping the Queue
  3. System Synthesis
  4. Implementation
    1. Implementation of Reneging
    2. Priority Queues
    3. Tandem Queues
    4. Ambulance Arrivals
    5. Completing the ED Simulation
  5. Verification & Validation
    1. Splitting Interarrival Times
    2. Reneging
    3. Priority Queues
    4. Tandem Queues
  6. Summary
    1. Concepts
    2. Terminology

Images

*Please note: all images are copyrighted, permission to use an image must be obtained from Wiley (and possibly also the original sources).

 

Figure 12-1: A hospital emergency department to be simulated. This design is based on one found in an existing hospital.
Figure 12-2: A single server queuing system with reneging.
Figure 12-3: A two-priority queue. Priority 1 clients get served first. Only when the priority 1 queue is empty can a priority 2 job get access to the server.
Figure 12-4: Tandem queues representing stages in processing in a real system.
Figure 12-5: Adding ambulance entries.
Figure 12-6: Arrivals to the ED for each hourly time period in a day. (used with permission from I. Georgievskiy, Z. Gieogievskaya, W. Pinney 2008).
Figure 12-7: A graph of reneging probability VS mean time to renege for the single server queuing system of Chapter 7.
Figure 12-8: A single server queuing system with reneging implemented in ExtendSim. This is intended as a first draft of the triage portion of the ED simulation.
Figure 12-9: A two priority queuing system.
Figure 12-10: An ExtendSim implementation of a set of single server queuing systems in tandem. This represents the basic emergency department simulation.
Figure 12-11: Ambulance arrivals added to the tandem queuing system of Figure 12-10
Figure 12-12: The final ED simulation.
Figure 12-13: ExtendSim simulation to verify the method for splitting the interarrival time into two components by fraction.
Figure 12-14: An alternative two priority queuing system, suitable for collecting data.
Figure 12-15: A tandem queue arrangement designed to verify the implementation. It has been set up to measure average time that clients spend in the system.