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Solving a Real-World Non-convex Quadratic Assignment Problem

In: Applications of Operational Research in Business and Industries

Author

Listed:
  • Badri Toppur

    (Rajalakshmi School of Business)

Abstract

A manufacturing company has three plants, in India. They manufacture headlamps and tail-lights for the automotive industry. This paper looks at the facility location problem for one of the plants where 12 facilities have to be placed in a two-column, multi-row, cellular layout. The machining sequence for 20 parts conveyed amongst the 12 facilities is specified. The quadratic assignment problem (QAP) has been classified, as an NP-Hard problem for large instances. We have modelled the specific instance as a QAP and are reporting on the solution, obtained by an easily available generalized reduced gradient (GRG) nonlinear solver, and also the solution obtained from the fast Gurobi optimizer. The Gurobi optimizer gives evidence of global optimality, that the GRG solver does not.

Suggested Citation

  • Badri Toppur, 2023. "Solving a Real-World Non-convex Quadratic Assignment Problem," Lecture Notes in Operations Research, in: Angappa Gunasekaran & Jai Kishore Sharma & Samarjit Kar (ed.), Applications of Operational Research in Business and Industries, chapter 0, pages 35-48, Springer.
    • Handle: RePEc:spr:lnopch:978-981-19-8012-1_3
    DOI: 10.1007/978-981-19-8012-1_3
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