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Special issue on MIP2025

This special issue is dedicated to the 2025 Land-Doig MIP Computational Competition. The computational competition has been arranged annually since 2022 in conjunction with the Mixed Integer Programming Workshop. This year the competition was renamed in honor of Ailsa H. Land and Alison G. Harcourt (née Doig). The competition strives to promote research in algorithms, computational techniques, and software for mixed integer programming (MIP).

 This years coemption focused on so-called primal heuristics for mixed-integer quadratic programs (MIQPs) and mixed-integer quadratically constrained programs (MIQCQPs). A primal heuristic is an algorithm intended to quickly find good feasible solutions. The ability to quickly find feasible solutions is an essential component of state-of-the-art MIP solvers. Participants in the competition had to provide both a working code and a written report. The participants were evaluated both based on computational performance and novelty.

 The competition committee chose a winner and two honorable mentions in this year’s competition, and they were announced at the MIP Workshop in June 2025 hosted at the University of Minnesota. The winner and the two honorable mentions submitted contributions with good novelty and impressive computational performance. These three teams have been invited to submit a paper for a special issue dedicated to the competition.

 We aim to have the papers submitted in 2025 and published in 2026.