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The Project Risk Analysis Model (PRAM) uses Monte Carlo simulation to generate cost and schedule probability distributions from user input cost, schedule, ...
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Strategic Analysis and Estimating Office March 2018
Qualitative assessment
Additional terms for Risk Management may be found in the WSDOT Glossary for Cost Risk Estimating Management
Project Risk Analysis Model: Overview
A Risk model simulates events that may occur in the real world. For project risk analysis, attention is focused on events that can affect project objectives such as cost and schedule.
The Project Risk Analysis Model (PRAM) uses Monte Carlo simulation to generate cost and schedule probability distributions from user input cost, schedule, risk and uncertainty information. It produces quantitative risk analysis outputs that provide actionable information to project managers and teams.
The model runs thousands of simulations or “project realizations” that virtually execute the project under the influence of all input uncertainties and risks. For each realization some risks occur, some do not; some impacts are high and others are low. The output provides an estimated range of project cost and schedule outcomes. Few realizations reach the extreme limits of the distribution, most aggregate toward the middle.
Up to 24 individual risks may be entered into the model. The outputs present statistical summaries, graphically as a distribution histogram, a cumulative distribution function S-curve, and as a percentile table. The model reports cost distribution forecasts for Preliminary Engineering (PE), Right of Way (RW), and Construction (CN) as well as total project cost. Results are provided in Current Year (CY) dollars and as inflated to Year of Expenditure (YOE) dollars. There are two schedule distribution forecasts, contract advertisement date and end of construction date. There are also tornado diagrams, sorting risks by expected value (EV), by cost and schedule impact.
The model accommodates two analyses. The first is for analyzing project estimate exposure to risks as initially identified and assessed, and the second is for analyzing the response to those risks. Comparing the pre-mitigated and post mitigated results offers users a quantified measure of the value added by proactive project risk management. The Base Estimate and Risk input forms serve both analyses. Color-coding is used throughout the model to promote instant recognition of which analysis inputs or results are which:
ORANGE = Risk Analysis (pre risk-response: pre-mitigated risk analysis) BLUE = Risk-Response Analysis (post risk-response: post mitigated risk analysis)
Two-in-One
The following illustration shows the two analyses available in the model, how they are color- coded, and how single input sheets are used for each:
Workbook Sheets
The PRAM workbook contains sheets for data input and for output reports of simulation results. These sheets serve to record the Risk Analysis — pre risk-response — and the Risk-Response Analysis entries and results. The respective zones are clearly labeled and color-coded.
Inputs
BASE Estimate (Sheet: Base) Users enter the expected cost as if the project goes as planned. The BASE Cost is an unbiased neutral estimate of cost and schedule; care should be taken that information entered is neither conservative nor optimistic. The BASE estimate captures the total estimated project costs including, preliminary engineering, right-of-way, construction, Mobilization, Construction Engineering, Tax, Change Order Contingency, and below the line items (700/800 items). (WSDOT standard construction contingency amount is based upon historical usage). The upper portion is for the initial Project Risk Analysis. The lower portion accounts for any base estimate adjustments due to risk response strategies — the Risk Response Analysis.
Values are entered in Current Year (CY) dollars.
RISK (Sheets: identifications vary) The simulation handles up to 24 discrete risks. Each Risk sheet records an identified risk associated with the project under study: the phase it affects, its details, probability and quantified consequences. The upper portion of the form is about the risk as it is first identified, with no regard to doing anything about it, i.e., before any response strategy — pre risk-response values, or pre-mitigated risk. The lower portion details the proposed response strategy with any expected change to likelihood or impact due to implementing the strategy — the post risk-response values, or Post-mitigated Risk.
Project risks can pose a Threat of negative impacts to project objectives, or present an Opportunity that has a positive impact.
Model Input Tables: Inter-Risk Conditionality / Model Input Synopsis
RMP (Risks ordered 1 – 12) & RMPSuppl (Risks ordered 13 – 24) Data entered in the individual forms for Risk Analysis (pre risk- response) appear in these tables. The first twelve risks (1 – 12), in the same order as workbook sheet tabs, are in one, the second twelve (13 – 24), are in the other. At the top of each table is a summary of (pre risk-response) Base Estimate inputs.
This is where to Indicate conditionality between risks, to model basic correlations, dependencies, and duration links. See later section for more details.
The model-engine uses the inputs from these sheets. Review the inputs before running.
Base Estimate Pre Risk- Response
Post Risk- Response
Base
Risk B Risk C
Risk Form Pre Response
Post Response
Risk A
RMP RMPSuppl
Model Input Tables RUN
$↗ $↗
RMPM (Risks ordered 1 – 12) & RMPSupplM (Risks ordered 12 – 24) Data entered in the individual forms for Risk-Response Analysis appear in these tables. The first twelve risks (1 – 12), in the same order as workbook sheet tabs, are in one, and the second twelve (13 – 24), are in the other. At the top of each table is a summary of (post risk-response) Base Estimate inputs.
Revise or indicate conditionality between risks accordingly, to reflect the effects of response strategies (more detail provided later in this guide).
Review the model inputs here before running.
Outputs
Expected Value (sheet: EV) Graphs on this sheet sort entered risks by Expected Value (EV) as an aid for optimizing the risk-response effort. Typically, risks at the top warrant the most attention, with a diminishing rate of return on effort as we descend on the diagram. Limited risk management resources should be applied proportional to a risks likelihood and impact. To that end, expected value combines factors to one convenient, probability-weighted number. When using, however, be aware that this calculation could de-emphasize a high impact risk that has low probability. Project Managers are advised to look for these events (known as “Black Swans”), and give them due attention.
There are four diagrams in the sheet. The top two show pre risk-response ranking, one for cost and another for schedule. The bottom two are for after risk-response adjustments. The simulation need not run before viewing the Expected Value summary. This diagram is available as soon as all risks have been entered/quantified. “Click” the launch button on the sheet after risk entry; “click” to update after any risk entry revision. Do the same after recording risk- response values to note any changes in standing.
The expected value of individual random variables is the probability-weighted average of input values.
݊݅݉൬ ൈ ݕݐ݈ܾܾ݅݅ܽݎ ܲൌ ݁ݑ ݈ܸܽ ݀݁ݐܿ݁ݔܧ
RMPM RMPSupplM
Model Input Tables RUN
$↗ $↗
Expected
Value
EV
Using the PRAM: Basic Steps
Before Using
The correct application of the Project Risk Analysis Model assumes familiarity with basic risk management theory and technique. Please review WSDOT’s Project Risk Management Guide before using the model:
http://www.wsdot.wa.gov/publications/fulltext/cevp/ProjectRiskManagement.pdf
Get the Workbook
The Project Risk Analysis Model workbook is available online here:
http://www.wsdot.wa.gov/publications/fulltext/CEVP/PRAM.xlsm
Open the Workbook / Table of Contents / Navigation
The Project Risk Analysis Model workbook should open at the Table of Contents (TOC) sheet.
Base Estimate Base Risk Template R‐ Risks Ordered 1 – 12 Risks Ordered 13 – 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Risk Tables Pre‐Response RMP^ Pre‐Response RMPSuppl Post‐Response RMPM Post‐Response RMPSupplM
Expected Value Cost $ PE‐Cost (CY) (^) Preliminary Engineering PE‐Cost (YOE) ROW‐Cost (CY) Right of Way ROW‐Cost (YOE) CN‐Cost (CY) (^) Construction CN‐Cost (YOE) Total‐Cost (CY) Total Total‐Cost (YOE) Dates ⌛ Contract Advertisement Ad Date End of Construction End CN
Risk Breakdown Structure (^) RBS User's Guide (^) Users Guide
Current Year Year of Expenditure
Risks Ordered 1 – 12 Risks Ordered 13 – 24
EV
Inputs
Outputs
Appendix
This area is empty when a new workbook is first opened.
As Risk Sheets are added, they are listed here with tab-links. (^) After risks are added
From the Model Input Tables, along the left edge of the table, notice that for each risk entry there are two tab-links. The upper one goes to the risk sheet, the lower one goes to the Table of Contents.
All of these navigational shortcuts have some advantage over the traditional sheet selection-by bottom-tab. There are over 40 sheets to negotiate in a model fully loaded with project risk sheets (up to 24 risks). Getting from one sheet to another can be difficult when limited to scrolling and selecting from a wide array of bottom sheet tabs.
Reordering Risk Sheets
Risks may be entered in any order, but later it may be desired or necessary to change the sequence as they list in the Table of Contents and/or in the Model Input Tables. For purposes of modeling inter-risk conditionality (see later section) the sequence of risk entries is crucial; but even for purely esthetic reasons, reordering risks is a simple matter of dragging their respective tabs (at bottom) to the required sequence.
Be careful when reordering tabs in a workbook that already has inputs for inter-risk conditionality.
Entering Data
There are two parts to each input worksheet. The first records the values required for a Risk Analysis (pre risk-response) simulation. The second is for Risk-Response Analysis, to model the effect of response strategies. Combining these in one workbook allows for ready comparison and quantification of the value added by active risk management.
Data may be entered live during a workshop, before, or sometime after active or collaborative risk assessment. It may be copied-in from a list, from separate sheets, imported, or received from remote collaborators, etc. Risk response strategizing may lag the risk analysis, or it may take place on the heels of initial risk elicitation and assessment. Data for each analysis, pre or post response, does not need to be entered in a particular sequence, but care must be taken to assure that it is complete for an analysis, and that it is entered in the right section.
The user may reorder risk sheets by dragging their respective sheet tabs, but conditionality indicators will not automatically update to suit a new order. Any that were set before a reordering should be checked afterwards to ensure risks are still connected as intended.
For the purpose of orderly presentation in this guide, we will assume a workflow where Risk Analysis data is entered first, then we will return to make Risk Response Analysis entries. This guide follows the diagram Using the PRAM: Basic Steps.
Base Estimate
Go to the Base sheet.
Enter data in the fields of the upper portion of the sheet, for Risk Analysis (with Pre-mitigated Risks). The orange outlined boxes are critical for the model to calculate results. Leave blank when there is no associated value.
Do not enter zero”0” in the entry fields.
Important, but less critical for modeling, are the lighter-outlined boxes. Hatched fields are for a more complex analysis — see the section, Non-WSDOT Inflation Rates, for more information. Underlined fields are calculated values or information referenced from elsewhere and are auto-filled.
Make cost entries in million dollar units, and durations in months.
NOTE: Values are displayed in “Millions of dollars” ($M) and “Months” (mo). Less than a million dollars or less than a month is entered as a decimal. Examples:
$200,000 enter as .2 it is displayed as 0.20 $M 1 week enter as .25 it is displayed as 0.3 mo $2,689,123 enter as 2.69 it is displayed as 2.69 $M 3 months and three weeks enter as 3.75 displayed as 3.8 mo $23,000 enter as .023 it is displayed as 0.02 $M one and a half years enter as 18 it is displayed as 18.0 mo
The next section is for Base Estimate Cost values:
COST $ Base Estimate Non‐WSDOT Inflation Rates Market Conditions Millions ($M) (^) Spent to Date ↓ ↓ PE: PE: Favorable: ← → Unfavorable:
Right of Way: RW: RW: Inflation Points ← → Pre‐construction (PE & ROW): Construction: Construction: CN: CN: ← → Risk Markups Mobilization: Minimum Maximum Sales Tax: Preliminary Engineering: ↗ Estimated Total Cost to Complete Range* (^) Construction Engineering: Change Order Contingency: ← EsƟmated Total Project Cost Range* *Extremes — not including risk impacts, market conditions, nor inflation.
Preliminary Engineering:
Probability Impact
Variability
Variability (^) 50%
Total Spent ← to Date
Variability
Cost and Schedule Variability : Below each project phase cost and schedule estimate is an input for inherent variability — not caused by risk events. Base variability captures a modest symmetric range (of the form: base value ± x%) about the estimated value, typically from 5% to 15% depending on level of project development and complexity. Cost variability represents quantity and price variations about the estimated base.
The next section is for Base Schedule values:
Risks: Qualitative Translations — informational (no entries required, advanced feature) This section shows and controls how the model translates risk probability and impact (quantitative) values into qualitative terms relative to base estimate entries. This governs the Heat Map display in each risks Qualitative Rendition section. In reverse, it serves as an aid in quantifying risk probability and impact when starting from qualifying terms like “High”, “Very Low”, etc.
months (mo) Preliminary Engineering RW Acquisition Target Ad Date
(For Inflation) (^) ← → ← →
*Minimum → *Maximum →
End of Variability Variability Construction
Estimate Date
Duration
Estimated Start Date Construction Duration 01‐00‐00 01‐00‐
*Extremes — not including risk impacts.
0.0 mo 01‐00‐00 01‐00‐00 0.0 mo 01‐00‐ 0.0 mo 01‐00‐00 01‐00‐00 0.0 mo 01‐00‐
RISKS Qualitative Translations Probability ↓ Impact →^ PE $ RW $ CN $ Pre‐CN ⌛ CN ⌛ Base $ → Base ⌛^ → Very High ≥ > > Very High High ≥ > > High
0.00 $M 0.00 $M 0.00 $M 0.0 mo 0.0 mo 0.0 mo 60% 5 0% 0.000 $M 0.000 $M 0.000 $M 20% 0.0 mo 0.0 mo
80% 10.0% 0.000 $M 0.000 $M 0.000 $M 30%
When adding more risks later, after previous forms have been filled-out, always start by making a copy of a blank template “R-0”. This prevents unintentionally using values from a pre-existing (copied) risk form.
Now go back to tab “R-0 (2)”. Enter risk analysis (pre risk-response) values in the upper portion of the Risk Form. Notice that critical entries for simulation are in solid, black or orange outlined boxes. Important, but less critical for modeling, are the lighter- outlined boxes. Hatched fields are for a more complex analysis — see the section on Conditionality for more information. Underlined fields are calculated values or information referenced from elsewhere and are auto-filled.
The top portion is for risk identification information and is common to both pre and post mitigated risk analyses.
The title of the project is automatically copied from the Base Estimate form.
Date: Enter date the risk was identified and assessed.
Risk ID: (auto-filled) copies what you enter as the tab name. Recommendation — use a Risk Breakdown Structure (RBS) code as a Risk ID / tab name. Build one by first selecting a general Category, then pick a specific from the drop-down in the upper-right form-corner. The result will appear in the RBS Code field. Change the decimal place if the ID is the same as a previously entered risk. Enter this unique ID as the tab-name for this sheet/risk. (See later section for more details about RBS).
Risk ID examples:
Category: (drop-down) Select from among the following:
Risk Form (^) Date:
Category: RBS Code: MDL Code: Risk Title: Status: Phase that it Impacts: Critical Path? Detailed Description of Risk Event: (SMART―Speci fic, Mea s ura bl e, AƩributa bl e, Releva nt, Timebound)
Trigger:
Example Project Risk ID: R‐0 (2) (^). ENV 30 Environmental Permitting (incl Appeals)
Yes
= critical for proper model results = risk information = for complex analysis = calculated or referenced field
Environmental / Hydraulics Structures / Geotech Design / PS&E Right-of-Way Utilities Railroad Partnerships / Stakeholders Management / Funding Contracting / Procurement Construction Enterprise Risk
After choosing a category, specify by selecting a subcategory from the drop-down in the upper-right corner of the sheet. Example (Right-of-Way):
RBS Code: (auto-filled) See Risk ID: above. This is auto-filled, but it may be over-written.
MDL Code: (optional) is the Master Deliverable List ID.
Risk Title: Summary Description. Enter a concise descriptive title for the risk.
Status: (drop-down) marks a change of the risks potential in relation to project progress. Select:
Active – The risk is included in the simulation; it should get a response; it should be monitored and controlled.
Dormant – Low priority risk; is excluded from the simulation; could become active in the future if conditions change.
Retired – The risk is excluded from the simulation; it is no longer relevant; it poses no real threat (or opportunity) to the project.
Phase that it Impacts: (drop-down) select the phase which the risk is likely to affect:
Pre-construction ROW Construction
Critical Path? (drop-down) The default is “Yes”. Select Yes or No to indicate whether or not this risk affects an activity that has impact on the critical path of the project schedule.
Detailed Description of Risk Event: Concisely describe the risk with enough detail so that its nature is clear to later readers. Description of risks are: Specific, Measurable, Attributable, Relevant, and Time-bound (SMART). The note fields at the bottom half of the worksheet can be used for additional details.
Trigger: Enter a brief description of any event that must occur to initiate the risk’s potential.