A Mathematical Programming Approach to Marker-Assisted Gene Pyramiding

  title={A Mathematical Programming Approach to Marker-Assisted Gene Pyramiding},
  author={Stefan Canzar and Mohammed El-Kebir},
In the crossing schedule optimization problem we are given an initial set of parental genotypes and a desired genotype, the ideotype. The task is to schedule crossings of individuals such that the number of generations, the number of crossings, and the required populations size are minimized. We present for the first time a mathematical model for the general problem variant and show that the problem is NP-hard and even hard to approximate. On the positive side, we present a mixed integer… 
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An algorithm is provided that generates and compares pedigrees on the basis of the population sizes they require and on their total duration and finds the best gene-pyramiding scheme.
Optimization of the Marker-Based Procedures for Pyramiding Genes from Multiple Donor Lines: I. Schedule of Crossing between the Donor Lines
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