Use case
A horizontal collaborative approach for planning the wine grape harvesting
Find out how Artelys Knitro enables researchers to take into account numerous operational constraints related to harvesting in their modeling, in order to provide more equitable collaborative dispatching solutions.

Game theory is widely used to model how individualistic players may decide to join forces and cooperate in order to increase their own benefits. When such agents belong to the same level of a given supply chain, such collaboration is called horizontal.

Given the high costs involved in the wine grape harvesting operations, horizontal collaboration seems to be a key factor for wine producers to stay competitive by sharing workers and machinery.

The wine grape harvesting problem consists of deciding when and where to harvest, while taking into account several operational constraints such as labor allocation, routing decisions and operations time windows. The way how producers may decide to collaborate highly depends, however, on how the benefits obtained from cooperation are split among partners. To this end, the authors study three different allocation methods leading to different linear and nonlinear mathematical optimization models.

Artelys Knitro is employed to solve the proposed nonlinear mathematical models, and their numerical analysis show that the nonlinear allocation method provides solutions that have, on average, a more equitable behavior when compared to the two other linear models. Such results illustrate the fact that taking into account nonlinear behaviors can be of great importance when conceiving a mathematical model.


Start with a tutorial!


You’re not familiar with nonlinear optimization? This tutorial will present some examples of nonlinear problems for various applications. You will discover nonlinear programming methods using the Artelys Knitro solver in a Python notebook, through different examples.

Free trial


Get your trial license to test Artelys Knitro’s performances on your own mathematical optimization problem. The trial package includes free support and maintenance. You can have access to Artelys Knitro for free with a 1-month unlimited version or a 6-month limited version.

Artelys Knitro has unmatched performance

Best Nonlinear Solver

Artelys Knitro has been ranked every year by public benchmarks consistently showing Artelys Knitro finds both feasible and proven optimal solutions faster than competing solvers.

Technical support

The Artelys technical support team comprises Artelys’consultants (PhD-level) who are used to solving the most difficult problems and deploying enterprise-wide optimization solutions. They can advise on algorithmic or software features that may result in enhanced performance in your usage of Artelys Knitro.

Updates and new features

The development team works continuously to provide two releases of Artelys Knitro every year. Based on feedback, we always improve our solver to meet users’ requirements and need to solve larger models faster.

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