Formulations of mathematical programs often require that some of the decision variables take only integer values. Consider the formulation You can follow the same steps to identify binary variables.

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 ...

Linear programming is used to maximize or minimize a linear objective function subject to one or more constraints, while mixed integer programming (MIP) adds one additional condition: that at least ...

This repo contains the coding assignments I did for the chapters I studied from the book Applied Integer Programming : Modeling and Solution by Der-San Chen, Robert G. Batson, and Yu Dang. All the ...

Abstract： There exists a method to reduce a 3-SAT (Satifiability) problem to a Subset Sum Problem (SSP) in the literature, however, it can only be applied to small or medium size problems. Our study ...

Abstract: We investigate time-optimal Multi-Robot Coverage Path Planning (MCPP) for both unweighted and weighted terrains, which aims to minimize the coverage time, defined as the maximum travel time ...