Optimizing invasive species management: A mixed-integer linear programming approach

Eyyüb Y. Kıbış, Esra Büyüktahtakın

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Controlling invasive species is a highly complex problem. The intricacy of the problem stems from the nonlinearity that is inherent in biological systems, consequently impeding researchers to obtain timely and cost-efficient treatment strategies over a planning horizon. To cope with the complexity of the invasive species problem, we develop a mixed-integer programming (MIP) model that handles the problem as a full dynamic optimization model and solves it to optimality for the first time. We demonstrate the applicability of the model on a case study of sericea (Lespedeza cuneata) infestation by optimizing a spatially explicit model on a heterogeneous 10-by-10 grid landscape for a seven-year time period. We evaluate the solution quality of five different linearization methods that are used to obtain the MIP model. We also compare the model with its mixed-integer nonlinear programming (MINLP) equivalent and nonlinear programming (NLP) relaxation in terms of solution quality. The computational superiority and realism of the proposed MIP model demonstrate that our model has the potential to constitute the basis for future decision-support tools in invasive species management.

Original languageEnglish (US)
Pages (from-to)308-321
Number of pages14
JournalEuropean Journal of Operational Research
Volume259
Issue number1
DOIs
StatePublished - May 16 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

Keywords

  • (S) Complexity theory
  • Big-M
  • Linearization
  • Mixed-integer programming (MIP)
  • Spatially explicit large-scale optimization

Fingerprint

Dive into the research topics of 'Optimizing invasive species management: A mixed-integer linear programming approach'. Together they form a unique fingerprint.

Cite this