Example Models and Libraries - Table

This page lists example models and libraries. You can download them from here or (in some cases) link to a page with more details. Feel free to include and upload your own models and libraries.

Model/Library	Download	Domain	Description	Methods	For more
Model	Marginal abatement home heating.ana	carbon price, energy efficiency, climate policy	This model, along with the accompanying blog article, show how to set up a Marginal Abatement graph in Analytica.	graph methods, optimal allocation, budget constraint	Marginal Abatement Graph
Model	Solar Panel Analysis.ana	renewable energy, photovoltaics, tax credits	This model explores whether it would it be cost effective to install solar panels on the roof of a house in San Jose, California.	net present value, internal rate of return, agile modeling	Solar Panel Analysis
Model	Items within budget.ana		Given a set of items, with a priority and a cost for each, the function Items_within_budget function selects out the highest priority items that fit within the fixed budget.		Items within Budget function
Model	Grant exclusion.ana	business analysis	This model tests a hypothesis about the distribution of an attribute of the marginal rejectee of a grant program, given the relevance of that attribute to award of the grant.		Grant Exclusion Model
Model	Project Priorities 5 0.ana	business models	Evaluates a set of R&D projects, including uncertain R&D costs/revenues, uses multiattribute analysis to compare projects & generates the best portfolio given a R&D budget.	cost analysis, net present value (NPV), uncertainty analysis	Project Planner
Model	Steel and aluminum tariff model.ana		Estimate of the net impact of the 2018 import tariffs on steel and aluminum on the US trade deficit.		Steel and Aluminum import tariff impact on US trade deficit
Model	Tax bracket interpolation 2021.ana		Computes amount of tax due from taxable income for a 2017 US Federal tax return. To match the IRS's numbers exactly, it is necessary to process tax brackets correctly as well as implementation a complex mix of rounding rules that reproduce the 12 pages of table lookups from the Form 1040 instructions. This model is showcased in a blog article, How to simplify the IRS Tax Tables.		Tax bracket interpolation
Model	Feasible Sampler.ana	feasibility	You have a bunch of chance variables, each with a probability distribution. Their joint sample, however, contains some combinations of points that are (for one reason or another) physically impossible. We'll call those infeasible points. You'd like to eliminate those points from the sample and keep only the feasible points. This module implements a button that will sample a collection of chance variables, then reset the sample size and keep only those sample points that are "feasible". Obviously, this approach will work best when most of your samples are feasible. If you can handle the "infeasible" points in your model directly, by conditioning certain chance variables on others, that is far preferable. But there are some cases where this solution (although a bit of a kludge) is more convenient. The instructions for how to use this are in the module description field.	statistics, sampling, importance sampling, Monte Carlo simulation	Sampling from only feasible points
Model	Cross-validation example.ana		When fitting a function to data, if you have too many free parameters relative to the number of points in your data set, you may "overfit" the data. When this happens, the fit to your training data may be very good, but the fit to new data points (beyond those used for training) may be very poor. Cross-validation is a common technique to deal with this problem: We set aside a fraction of the available data as a cross-validation set. Then we begin by fitting very simple functions to the data (with few free parameters), successively increasing the number of free parameters, and seeing how the predictive performance changes on the cross-validation set. It is typical to see improvement on the cross-validation set for a while, followed by a deterioration of predictive performance on the cross-validation set once overfitting starts occurring. This example model successively fits a non-linear kernel function to the residual error, and uses cross-validation to determine how many kernel functions should be used. Requires Analytica Optimizer: The kernel fitting function (Kern_Fit) uses NlpDefine.	cross-validation, overfitting, non-linear kernel functions	Cross-Validation / Fitting Kernel Functions to Data
Model	Bootstrapping.ana		Bootstrapping is a technique from statistics for estimating the sampling error present in a statistical estimator. The simplest version estimates sampling error by resampling the original data. This model demonstrates how to do this in Analytica.	bootstrapping, sampling error, re-sampling	Statistical Bootstrapping
Model	Kernel Density Estimation.ana		This example demonstrates a very simple fixed-width kernel density estimator to estimate a "smooth" probability density. The built-in PDF function in Analytica often has a choppy appearance due to the nature of histogramming -- it sets up a set of bins and counts how many points land in each bin. A kernel density estimator smooths this out, producing a less choppy PDF plot. This smoothing is built into Analytica 4.4. You can select smoothing from the Uncertainty Setup dialog.	kernel density estimation, kernel density smoothing	Smooth PDF plots using Kernel Density Estimation
Model	Output and input columns.ana		Presents an input table to a user, where one column is populated with computed output data, the other column with checkboxes for the user to select. Although the Output Data column isn't read only, as would be desired, a Check Attribute has been configured to complain if he does try to change values in that column. The model that uses these inputs would ignore any changes he makes to data in the Output Data column. Populating the Output Data column requires the user to press a button, which runs a button script to populate that column. This button is presented on the top-level panel. If you change the input value, the output data will change, and then the button needs to be pressed to refresh the output data column.	data analysis	Output and Input Columns in Same Table
Model	Platform2018b.ana	offshore platforms, oil and gas, stakeholders, rigs to reefs, decision support	Too many environmental issues cause bitter public controversy. The question of how to decommission California's 27 offshore oil platforms started out as a typical example. But remarkably, after careful analysis a single option, "rigs to reefs", obtained the support of almost all stakeholders, including oil companies and environmentalists. A law to enable this option was passed by the California State house almost unanimously, and signed by Governor Arnold Schwarzenegger.	decision analysis, multi-attribute, sensitivity analysis	From Controversy to Consensus: California's offshore oil platforms
Model	Comparing retirement account types.ana or Free 101 Compatible Version	401(k), IRA, retirement account, decision analysis, uncertainty	Will you end up with a bigger nest egg at retirement with a 401(k), traditional IRA, Roth IRA or a normal non-tax-advantaged brokerage account? For example, comparing a Roth IRA to a normal brokerage, intermediate capital gains compound in the Roth, but eventually you pay taxes on those gains at your income tax rate at retirement, whereas in the brokerage you pay capital gains taxes on the gains, which is likely a lower tax rate. So does the compounding outweigh the tax rate difference? What effect do the higher account maintenance fees in a 401(k) account have? How sensitive are these conclusions to the various input estimates? The answers to all these questions depend on your own situation, and may different for someone else. Explore these questions with this model.	MultiTables, sensitivity analysis	Retirement plan type comparison
Model	Plane catching with UI 2020.ANA		A simple decision analysis model of a familiar decision: What time I should leave my home to catch an early morning plane departure? I am uncertain about the time to drive to the airport, walk from parking to gate (including security), and time needed at the departure gate. It also illustrates the Expected Value of Including Uncertainty (EVIU) -- the value of considering uncertainty explicitly in your decision making compared to ignoring it and assuming that all uncertain quantities are fixed at the median estimate. Details at Catching a plane example and EVIU. Includes downloadable model, slides, and video.	decision theory, decision analysis, uncertainty, Monte Carlo simulation, value of information, EVPI, EVIU	Plane Catching Decision with Expected Value of Including Uncertainty
Model	Marginal Analysis for Control of SO2 Emissions.ana	environmental engineering	Acid rain in eastern US and Canada caused by sulfur dioxide is emitted primarily by coal-burning electric-generating plants in the Midwestern U.S. This model demonstrates a marginal analysis a.k.a. benefit/cost analysis to determine the policy alternative that leads us to the most economically efficient level of cleanup.	cost-benefit analysis, marginal analysis	Marginal Analysis for Control of SO2 emissions
Model	Donor-Presenter Dashboard.ana		This model implements a continuous-time Markov chain in Analytica's discrete-time dynamic simulation environment. It supports immigration to, and emigration from, every node. It can be used by an arts organization to probabilistically forecast future audience evolution, in both the short and the long (steady state) term. It also allows for uncertainty in the input parameters.	dynamic models, Markov processes	Donor/Presenter Dashboard
Model	Photosynthesis Regulation.ana - main regulation pathways Photosystem.ana - rough sketch of genetic regulation	photosynthesis	A model of how photosynthesis is regulated inside a cyanobacteria. As light exposure varies over time (and you can experiment with various light intensity waveforms), it simulates the concentration levels of key transport molecules along the chain, through the PSII complex, plasto-quinone pool, PSI complex, down to metabolic oxidation. The dynamic response to light levels, or changes in light levels, over time becomes evident, and the impact of changes to metabolic demand can also be observed. In the graph of fluorescence above, we can see an indicator of how much energy is being absorbed, in three different cases (different light intensities). In the two higher intensity cases, photoinhibition is observed -- a protective mechanism of the cell that engages when more energy is coming in than can be utilized by the cell. Excess incoming energy, in the absence of photoinhibition, causes damage, particularly to the PSII complex. This model uses node shapes for a different purpose than is normally seen in decision analysis models. In this model, ovals, instead of depicting chance variables, depict chemical reactions, where the value depicts the reaction rate, and rounded rectangles depict chemical concentrations. Two models are attached. The first is a bit cleaner, and focused on the core transport chain, as described above. The second is less developed, but is focused more on genetic regulation processes.	dynamic models	Regulation of Photosynthesis
Model	Time-series-reindexing.ana		This model contains some examples of time-series re-indexing. It is intended to demonstrate some of these basic techniques. In this example, actual measurements were collected at non-uniform time increments. Before analyzing these, we map these to a uniformly spaced time index (Week), occurring on Monday of each week. The mapping is done using an interpolation. The evenly-spaced data is then used to forecast future behavior. We first forecast over an index containing only future time points (Future_weeks), using a log-normal process model based on the historical weekly change. We then combine the historical data with the forecast on a common index (Week). A prob-bands graph of the weekly_data result shows the range of uncertainty projected by the process model (you'll notice the uncertainty exists only for future forecasted values, not historical ones).	dynamic models, forecasting, time-series re-indexing	Time-series re-indexing
Model	Post Compression Model		Here is a calculator for computing the maximum load that can be handled by a Douglas Fir - Larch post of a given size, grade, and composition in a construction setting.		Timber Post Compression Load Capacity
Model	Compression Post Load Capacity.ana		Computes the load that a Douglas-Fir Larch post can support in compression. Works for different timber types and grades and post sizes.	compression analysis	Compression Post Load Calculator
Model	Daylighting analyzer.ana	engineering	A demonstration showing how to analyze lifecycle costs and savings from daylighting options in building design. Analysis based on Nomograph Cost/Benefit Tool for Daylighting. adapted from S.E. Selkowitz and M. Gabel. 1984. "LBL Daylighting Nomographs," LBL-13534, Lawrence Berkeley Laboratory, Berkeley CA, 94704. (510) 486-6845.	cost-benefits analysis	Daylighting Options in Building Design
Model	California Power Plants.ana	power plants	An example showing how to use Choice menus and Checkbox inside an Edit table. It also shows how to use the Cell default attribute to specify default values (including Choice menu and Checkbox with default selections) specified in "Default Plant Data" to be used when user creates a new row in the Edit table. This model shows how to demonstrates the use of choice pulldowns in edit tables. The model is created during a mini-tutorial on Inserting Choice Controls in Edit Table Cells elsewhere on this Wiki.	edit table, choice menu, pulldown menu, checkbox	California Power Plants
Model	Requires Analytica Optimizer Electrical Transmission.ana	electrical engineering, power generation and transmission	This model of an electrical network minimizes total cost of generation and transmission. Each node in the network has power generators and consumers (demand). Nodes are connected by transmission links. Each link has a maximum capacity in Watts and an admittance (the real part of impedance is assumed to be zero). Each generator has a min and max power and a marginal cost in $/KWh. The model uses a linear program to determine how much power each generator should produce so as to minimize total cost of generation and transmission, while satisfying demand and remaining within link constraints.		Electrical Generation and Transmission
Model	Time of use pricing.ana & MECOLS0620.xlsx (both files needed)	reading from spreadsheets, time-of-use pricing, electricity pricing	Electricity demand and generation is not constant, varying by time of day and season. For example, solar panels generate only when the sun is out, and demand drops in the wee morning hours when most people are sleeping. Time-of-use pricing is a rate tariff model used by utility companies that changes more during times when demand tends to exceed supply. This model import actual usage data from a spreadsheet obtained from NationalGridUS.com of historic average customer usage, uses that to project average future demand, and then calculates the time-of-use component of PG&E's TOU-C and TOU-D tariffs. (Note: The historical data came from Massachussets, the rate plan is from California, but these are used as examples). Developed during a User Group Webinar on 30-Sep-2020, which you can watch as well to see it built. Video: Time of use pricing.mp4		Time of Use pricing
Model	Color map.ana		A model which highlights Cell Formatting and Computed Cell Formats. Model result is a 'color map' wherein the cell fill color is computed based on three input variables (R, G, and B), the computed color is displayed in hexadecimal, and the font color of the hexadecimal color is determined by the cell fill color.	computed cell formatting	Color Map
Model	World cup.ana		On July 15, 2018, France beat Croatia 4-2 in the final game of the World Cup to become world champions. But how much of that is can be attributed to France being the better team versus to the random chance? This model accompanies my blog article, World Cup Soccer. How much does randomness determine the winner?, where I explore this question and use the example to demonstrate the Poisson distribution.		2018 World Cup Soccer final
Model	resnet18.zip	residual network, deep residual learning, image recognition	Show it an image, and it tries to recognize what it is an image of, classifying it among 1000 possible categories. It uses an 18-layer residual network. This model is described and demonstrated in a video in the blog article An Analytica model that recognizes images.		Image recognition
Model	Month to quarter.ana		The model shows how to transform an array from a finer-grain index (e.g., Month) onto a coarser index (e.g., Quarter). We generally refer to this as aggregation. The model illustrates the direct use of Aggregate, as well as a method to do this used before Aggregate was added to Analytica in release 4.2.	aggregation, level of detail, days, weeks, months, quarters, years	Transforming Dimensions by transform matrix, month to quarter
Model	Convolution.ana		Convolution is used mostly for signal and systems analysis. It is a way to combine two time series. This model contains function Convolve(Y, Z, T, I), that computes the convolution of two time series. The model contains several examples of convolved functions. A time series is a set of points, (Y, T), where T is the ascending X-axis, and the set of points is indexed by I. The values of T do not have to be equally spaced. The function treats Y and Z as being equal to 0 outside the range of T. The two time series here are the set of points (Y, T) and the set of points (Z, T), where both sets of points are indexed by I. The mathematical definition of the convolution of two time series is the function given by: [math]\displaystyle{ h(t) = \int y(u) z(t-u) dt }[/math]	signal analysis, systems analysis	Convolution
Model	Dependency Tracker.ana		This module tracks dependencies through your model, updating the visual appearance of nodes so that you can quickly visualize the paths by which one variable influences another. You can also use it to provide a visual indication of which nodes are downstream (or upstream) from an indicated variable. The module contains button scripts that change the bevel appearance of nodes in your model. To see how Variable X influences Variable Y, the script will bevel the nodes for all variables that are influenced by X and influence Y. Alternatively, you can bevel all nodes that are influenced by X, or you can bevel all nodes that influence Y. In the image above, the path from dp_ex_2 through dp_ex_4 has been highlighted using the bevel style of the nodes. (The result of pressing the "Bevel all from Ancestor to Descendant" button).	dependency analysis	Dependency Tracker Module
Model	French-English.ana	multi-lingual models	Maintains a single influence diagram with Title and Description attributes in both English and French. With the change of a pull-down, the influence diagram and all object descriptions are instantly reflected in the language of choice. If you change a title or description while viewing English, and then change to French, the change you made will become the English-language version of the description. Similarly if you make a change while viewing French.		Multi-lingual Influence Diagram
Model	Parsing XML example.ana	data extraction, xml, DOM parsing	Suppose you receive data in an XML format that you want to read into your model. This example demonstrates two methods for extracting data: Using a full XML DOM parser, or using regular expressions. The first method fully parses the XML structure, the second simply finds the data of interest by matching patterns, which can be easier for very simple data structures (as is often the case).		Extracting Data from an XML file
Model	Vector Math.ana		Functions used for computing geospatial coordinates and distances. Includes: A cross product of vectors function Functions to conversion between spherical and Cartesian coordinates in 3-D Functions to compute bearings from one latitude-longitude point to another Functions for finding distance between two latitude-longitude points along the great circle. Functions for finding the intersection of two great circles	geospatial analysis, GIS, vector analysis	Vector Math
Model	Total Allowable w Optimizer.ana or Total Allowable w StepInterp.ana for those without Optimizer		The problem applies to any population of fish or animal whose dynamics are poorly known but can be summarized in a simple model: N_t + 1 = N_t*Lambda - landed catch*(1 + loss rate) where «N_t» is the population size (number of individuals) at time t, «N_t+1» is the population size at time t + 1, «Lambda» is the intrinsic rate of increase and the «loss rate» is the percentage of fish or animals killed but not retrieved relative to the «landed catch», or catch secured. The question here is to determine how many fish or animals can be caught (landed) annually so that the probability of the population declining X% in Y years (decline threshold) is less than Z% (risk tolerance). Two models are available for download. One uses the Optimizer (NlpDefine) to find the maximum landed catch at the risk tolerance level for the given decline threshold. The other (for those using a version of Analytica without Optimizer) uses StepInterp in an iterative way to get that maximum landed catch.	population analysis, dynamic models, optimization analysis	Total Allowable Harvest
Model	Cereal Formulation1.ana	product formulation, cereal formulation	A cereal formulation model A discrete mixed integer model that chooses product formulations to minimize total ingredient costs. This could be an NSP but it uses two methods to linearize: 1) Decision variable is constructed as a constrained Boolean array 2) Prices are defined as piecewise linear curves		Linearizing a discrete NSP
Model	Neural Network.ana	feed-forward neural networks	A feed-forward neural network can be trained (fit to training data) using the Analytica Optimizer. This is essentially an example of non-linear regression. This model contains four sample data sets, and is set up to train a 2-layer feedforward sigmoid network to "learn" the concept represented by the data set(s), and then test how well it does across examples not appearing in the training set. Developed during the Analytica User Group Webinar of 21-Apr-2011 -- see the webinar recording.	optimization analysis	Neural Network
Model	Earthquake expenses.ana		An example of risk analysis with time-dependence and costs shifted over time. Certain organizations (insurance companies, large companies, governments) incur expenses following earthquakes. This simplified demo model can be used to answer questions such as: What is the probability of more than one quake in a specific 10 year period. What is the probability that in my time window my costs exceed $X? Assumptions in this model: Earthquakes are Poisson events with mean rate of once every 10 years. Damage caused by such quake is lognormally distributed, with mean $10M adn stddev of $6M. Cost of damage gets incurred over the period of a year from the date of the quake as equipment is replaced and buildings are repaired over time: 20% in 1st quarter after quake, 50% in 2nd quarter, 20% in 3rd quarter, 10% in 4th quarter.	risk analysis, cost analysis	Earthquake Expenses
Best used with Analytica Optimizer Loan policy selection.ana	creditworthiness, credit rating, default risk	A lender has a large pool of money to loan, but needs to decide what credit rating threshold to require and what interest rate (above prime) to charge. The optimal value is determined by market forces (competing lenders) and by the probability that the borrower defaults on the loan, which is a function of the economy and borrower's credit rating. The model can be used without the Analytica optimizer, in which case you can explore the decision space manually or use a parametric analysis to find the near optimal solution. Those with Analytica Optimizer can find the optimal solution (more quickly) using an NLP search.	risk analysis	Loan Policy Selection
Model	Hubbard_and_Seiersen_cyberrisk.ana	cybersecurity risk	The model simulates loss exceedance curves for a set of cybersecurity events, the likelihood and probabilistic monetary impact of which have been characterized by system experts. The goal of the model is assess the impact of mitigation measures, by comparing the residual risk curve to the inherent risk curve (defined as risk without any mitigation measures) and to the risk tolerance curve. This is a translation of a model built by Douglas Hubbard and Richard Seiersen which they describe in their book How to Measure Anything in Cybersecurity Risk, and which they make available here.	loss exceedance curve, simulation	Inherent and Residual Risk Simulation
Model	media:Red State Blue State plot.ana	map, states	This example contains the shape outlines for each of the 50 US states, along with a graph that uses color to depict something that varies by state (historical political party leaning). You may find the shape data useful for your own plots. In addition, it demonstrates the polygon fill feature that is new in Analytica 5.2.	graphing	Red or blue state
Model	COVID Model 2020--03-25.ana	covid, covid-19, coronavirus, corona, epidemic	A systems dynamics style SICR model of the COVID-19 outbreak within the state of Colorado. It simulates the progression of the outbreak into the future, examining the expected impact on ventilator (compared to levels available), forecasts number of sick and number of deaths, and also the risk reduction that a "lock down" has based on the date of the start of the lock down and the amount of reduction in social interaction. A Lumidyne blog article describes the model and conclusions ascertained from it.		COVID-19 State Simulator, a Systems Dynamics approach
Model	Corona Markov.ana	covid, covid-19, coronavirus, corona, epidemic	Used to explore the progression of the COVID-19 coronavirus epidemic in the US, and to explore the effects of different levels of social isolation. It also includes sensitivity analyses. A blog article showcases this model.		How social isolation impacts COVID-19 spread in the US - A Markov model approach
Model	Modelo Epidemiológoco para el Covid-19 con cuarentena.ana	covid, covid-19, coronavirus, corona, epidemic	Un modelo en cadena de Markov del impacto previsto de la enfermedad coronavirus COVID-19 en el Perú, y del impacto del aislamiento social. Consulte el artículo Aislamiento Social y Propagación COVID-19 para detalles. An adaptation and extension of Robert D. Brown's Markov Model (the previous example) to the country of Perú, translated into Spanish.		Epidemiological model of COVID-19 for Perú, en español
Model	COVID-19 Triangle Suppression.ana	covid, covid-19, coronavirus, corona, epidemic	A novel approach to modeling the progression of the COVID-19 pandemic in the US, and understanding the amount of time that is required for lock down measures when a suppression strategy is adopted. This model is features in the blog article Suppression strategy and update forecast for US deaths from COVID-19 Coronavirus in 2020 on the Analytica blog.		A Triangle Suppression model of COVID-19
Model	Simple COVID-19.ana	covid, covid-19, coronavirus, corona, epidemic	Used to explore possible COVID-19 Coronavirus scenarios from the beginning of March, 2020 through the end of 2020 in the US. The US is modeled as a closed system, which people classified as being in one of the progressive stages: Susceptible, Incubating, Contagious or Recovered. Deaths occur only from the Contagious stage. There is no compartimentalization such as by age or geography.		COVID-19 Coronavirus SICR progression for 2020
Model	US COVID-19 Data.ana	covid, covid-19, coronavirus, corona, epidemic, death, infection	The New York Times has made data available to researchers on the number of reported cases and deaths in each US county, and state-wide, on each day the pandemic. This model reads in these files and transforms them into a form that is convenient to work with in Analytica. Requires: You'll need to install GIT and then clone the NYT repository. The Description of the model gives instructions for getting set up. You'll also need to have the Analytica Enterprise or Optimizer edition.		COVID-19 Case and Death data for US states and counties
Model	Voluntary vs mandatory testing.ana	covid, covid-19, coronavirus, corona, epidemic	A Navy wants to compare two COVID-19 testing policies. In the first, all crew members must take a COVID-19 test before boarding a ship, and those with a positive test cannot board. In the second policy, testing is encouraged but voluntary -- each sailor has an option of being tested before boarding. This model computes the rate of infection among those allowed to board under the two scenarios, based on prevalence rates, test accuracies and voluntary testing rates. It also examines the probability of achieving zero infections on board, and the sensitivity of the results to input parameter estimates. This model is described in a blog posting.		Mandatory vs Voluntary testing policies