Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

The model presented in this section is a Linear Integer Program (LIP), which combines integer variables with binary variables. The objective function and all constraints are linear.

On a brighter side, it becomes NP-complete to solve a linear program if we are allowed to specify constraints of a different kind: requiring that some variables be integers instead of real values.

This repo contains 3 programs that are to be used together to optimize the Sieve objective function of a graph. The first program, 'SepComp', identifies all of the seperated components in the original ...

Abstract: Mixed-weight open locating-dominating sets (mixed-weight OLD-sets) model systems that use sensors of multiple strengths to locate and detect problems in a network. Randomly-distributed ...

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer ...

Abstract: Group scheduling problems have attracted much attention owing to their many practical applications. This work proposes a new bi-objective serial-batch group scheduling problem considering ...

Constraint-based analysis has become a widely used method to study metabolic networks. While some of the associated algorithms can be applied to genome-scale network reconstructions with several ...