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Integer programming regards optimization problems, where one seeks to find integer values for a set of unknowns, that optimizes the objective function. A common subset of this type of problems are integer linear programming problems, where all inequalities, equalities and the objective function are linear in the unknowns.

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MIQP formulation in L0 norm optimization

Consider the L0 norm compressed sensing problem: $$\eqalign{ & \min \quad {x^T}Qx + {c^T}x + {\mu\left\| x \right\|_0} \cr & s.t:\quad Ax \le b \cr} $$ Suppose I do want to solve this problem …
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4 votes
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Choice of MIP (mixed integer programming) solver

I would start using MIP solver for the research on the tiling. I know (heard of) the open source solver jump: https://github.com/JuliaOpt/JuMP.jl and also the gold standard solver from IBM cplex. …
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Mixed integer programming formulation for Ising model

Actually, one way I realize is to use this kind of constraints: $${s_i} + {s_j} - 1 \le {s_i}*{s_j} \le {s_i}$$
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0 votes
2 answers
458 views

Mixed integer programming formulation for Ising model [closed]

I want to implement a minimisation on a 2D spin Ising model with 30x30 grid. The spin variables is 0,1 and the objective is to minimize the sum of products of spins. For simplicity, I only include NN …
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2 votes
2 answers
202 views

Combinatorial optimization problem involving infinite spin system

In material science research, I am developing an algorithm to solve an infinite combinatorial optimization problem which I believe is the most natural problem when the system size goes to infinity. …
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