Scherer Multidemand Multidimensional KP Instances

Test instance data for the 0-1 multidemand multidimensional knapsack problem (MDMKP) from the Primal Problem Instance Generator (PPIG) from Scherer et al. 2023. The instances allow for a greater range of correlation values between the profit coefficients and the coefficients for the knapsack and demand constraints. The test instances also flex the constraint tightness across each dimension. Providing a different structure than existing instances. The first 45 instances do not obey a predetermined correlation structure, while the remaining 135 instances are defined through an explicit predetermined correlation structure (Uniform(-1,1)) for each dimension of each coefficient used in the MDMKP.

The .txt file attached obeys the following structure, by line.

Problem number and best found objective value
number of variables, number of knapsack constraints, number of covering constraints
objective function coefficients
right hand side values knapsack constraints
right hand side values covering constraints
m rows of left hand side knapsack coefficients
n rows of left hand side covering coefficients

For any inquires contact the author at [e-mail]