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Industrial Mathematics Final Year Topic: Bottleneck Sensitivity in a Constrained Product-Mix Linear Programme

This Industrial Mathematics final year project identifies which modelled resource constraints limit a feasible production mix.

Why choose this project topic?

A focused study of production mix gives you a specific question in industrial optimisation. It identifies which modelled resource constraints limit a feasible production mix. The bounded comparison creates room to explain how your evidence supports an interpretation and where the method has limits.

How do changes in a selected resource capacity alter the optimum and active constraints of a synthetic product-mix model?

Agree the apparatus or dataset, comparison range and feasible measurement schedule for production mix with your supervisor.

Proposed project objectives

  1. 01Define the materials, variables and comparison conditions for production mix.
  2. 02Construct a transparent input-output and contribution table, formulate the constraints and verify the solution.
  3. 03Evaluate the measurements or model outputs in relation to this question: How do changes in a selected resource capacity alter the optimum and active constraints of a synthetic product-mix model?

A suggested research approach

Construct a transparent input-output and contribution table, formulate the constraints and verify the solution. Vary one capacity at a time within and beyond the relevant sensitivity range, checking any alternate optima. Agree the available resources and record uncertainty, deviations from the protocol and any observations that challenge the initial interpretation.

What you will need

  • A synthetic product-resource matrix
  • Linear-programming software with dual information
  • Feasibility and sensitivity-verification procedures

Keep your project scope clear

Modelled contribution values are not audited profits, and the result omits operational constraints that were not included.

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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