Integer programming is a powerful technique for solving optimization problems that involve discrete variables, such as scheduling, routing, or allocation. However, sometimes you may encounter the ...

This paper considers a new canonical duality theory for solving mixed integer quadratic programming problem. It shows that this well-known NP-hard problem can be converted into concave maximization ...

Heuristics are rules of thumb or simple strategies that can help you find good or feasible solutions to a problem, without guaranteeing optimality or completeness. Metaheuristics are higher-level ...

Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...

Combinatorial optimization and integer programming form the backbone of decision-making models in which discrete choices must be made under constraints. At its core, integer programming specialises in ...

Abstract: This chapter presents a search procedure for a pure integer programming model, which is a modification of the simplex method for linear programming. This modified search procedure moves on ...

Balans (IJCAI'25) is an online-learning meta-solver designed to tackle Mixed-Integer Programming problems (MIPs) through multi-armed bandit-based adaptive large neighborhood search strategy, ALNS(MIP) ...

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 ...