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Industrial Mathematics Final Year Topic: Finite-Horizon Inventory Policies from a Small Markov Decision Model

This Industrial Mathematics final year project compares state-dependent actions with a simple baseline in a fully specified inventory system.

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Why choose this project topic?

A focused study of inventory decision process gives you a specific question in stochastic dynamic programming. It compares state-dependent actions with a simple baseline in a fully specified inventory system. The bounded comparison creates room to explain how your evidence supports an interpretation and where the method has limits.

How do demand-transition assumptions and horizon length affect a finite-horizon inventory policy?

Agree the apparatus or dataset, comparison range and feasible measurement schedule for inventory decision process with your supervisor.

Proposed project objectives

  1. 01Define the materials, variables and comparison conditions for inventory decision process.
  2. 02Define states, admissible orders, transition probabilities and synthetic costs.
  3. 03Evaluate the measurements or model outputs in relation to this question: How do demand-transition assumptions and horizon length affect a finite-horizon inventory policy?

A suggested research approach

Define states, admissible orders, transition probabilities and synthetic costs. Apply backward induction, verify probability and stock accounting and compare the resulting policy with a prespecified baseline on matched scenarios. Agree the available resources and record uncertainty, deviations from the protocol and any observations that challenge the initial interpretation.

What you will need

  • A finite synthetic inventory state-action model
  • Dynamic-programming references
  • Transition, stock and policy-value verification tools

Keep your project scope clear

The computed policy is conditional on a known transition model and does not remove uncertainty about actual demand behaviour.

Industrial Mathematics project chapter outline

Use this outline as a starting point. You can edit the chapter titles to match your department’s format during setup.

  1. Chapter 1Introduction
  2. Chapter 2Literature Review
  3. Chapter 3Theory and Methodology
  4. Chapter 4Results and Applications
  5. Chapter 5Summary, Conclusion and Recommendations

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