Markov Chain Calculator

Model discrete Markov chains in a free Windows app. Explore state transitions, view steady-state results and export to Excel, with no ads or locked features.

Free, get it now (for Windows)

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Markov Chain Calculator video demonstration

129 citations In peer-reviewed research 100% offline Your data stays on your machine

Want to calculate a Markov chain right now? The free online calculator runs in your browser: enter a transition matrix, get the steady state. No download or installation required.

Open the free online calculator

When a process moves between states with probabilities attached, guessing stops helping.

Model the chain, watch it evolve, and read the steady state straight off the chart.

Freeware - no nags, no ads and fully-functional

Define states and transition probabilities through a graphical wizard, follow each time step and read the steady-state distribution from the chart. Fully functional and free for student assignments and reliability checks. For models involving decisions, costs and utilities, the same modelling approach carries into our decision analysis products.

Let's answer the first question that you might be asking. It is Freeware, so what is the catch? The catch is that it shows a very little small link at the top right corner of the app, clicking that link will show you our featured decision analysis product Rational Will®, as you can see in the screenshots. And that's it.

Wizard-based guided User Experience

The Markov Chain Calculator software lets you model a simple time-invariant Markov chain easily by asking questions in screens after screens. Therefore it becomes a pleasure to model and analyze a Markov Chain.

Read the walkthrough

Calculated Results in the Charts

Lots of useful charts are available to analyze the Markov chain. The charts can be popped out to a separate window to display all at the same time.

Chart Data can be shown as Table or exported to Excel

Every chart in this application is featured with a context menu (right mouse click) that lets you view the data table in a data grid, or export the table directly to Excel. You can copy the data table as CSV too. Also, you can copy the chart image to Clipboard, or save it as PNG or JPG.

Custom State Expression with a Rich Math Editor

It won't be fun if you cannot forecast a composite or custom state. Yes, a rich math-based expression editor is available where you can drag and drop a state into the expression editor and use a lot of built-in math functions. The chart tab will show the chart for your custom expression.

Check Rational Will for advanced Markov Decision Process.

This Markov Chain Calculator lets you model a Markov chain with States but no rewards can be attached to a state. If you want to attach Utility or Reward to a state and then if you want to calculate the Expected Utility or Cumulative utility of a state, then you will need to use our Decision tree software which is bundled in our flagship product Rational Will®. In our Decision Tree software, you will be able to add one or more Actions from a State and then you will see an evaluated policy as a Markov Decision Process. Therefore, if you get Rational WIll, you won't need to acquire this software separately.

Cited in 129 peer-reviewed papers.
Used for coursework at 293 universities.

Researchers do not cite tools they cannot defend. When a method has to hold up under review, the software behind it gets scrutinized too.

Browse the research index

S. Raja, V. Praveenkumar, M. A. Rusho, Shubham Sharma, Nagaraj Patil, V. K. Bupesh Raja, A. Mahapatro, Razaullah Hafiz Ullah, M. Helal. Unlocking chemistry behind the metal arc welding-based parametric optimization to enhance the weld efficiency and tensile strength in AISI 1006 steel by using the spice logic analytical hierarchy-based multi criteria decision-making approach. International journal of Chemical Reactor Engineering, 2026. DOI
Ichlasul Amal, et al. Meningkatkan Kepatuhan Terhadap Standar Pakan Nasional: Pendekatan AHP Berbasis Pemangku Kepentingan untuk Peningkatan Kualitas Jagung di Sulawesi Selatan. Jurnal Ilmu Peternakan Halu Oleo, 2026. DOI
Jiyoung Shim. Exploring the Relative Importance of Reading Material Selection Factors Using AHP. Journal of the Korean Society for Information Management, 2026. DOI

The three most recent entries from our research index.

University of North Carolina at Charlotte · University of Sharjah · University of manchester · Chulalongkorn University · Colorado State University · Institut Teknologi Bandung · Institut Teknologi Sepuluh Nopember · IPB UNIVERSITY · and 285 more.

Source: our student-license survey, 293 universities and counting.

Ready to use Markov Chain Calculator?

Download the complete free product and run it locally on Windows. No signup, subscription, or sales call.

Free to download. Your work stays on your machine.