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Searching I found a large number of books, however each with different approaches. The approach I want to take is theoretical, starting with the linear integer and mixed integer problems. And at the end of the theoretical framework see its applications (which can suddenly be found in another book). mixed-integer-programming.
8. I would like to verify if I understand the nature or workings of integer programming solvers. My understanding is that for integer programming problems like the knapsack problem or the traveling salesman problem several algorithms can be used to solve these problems. Integer programming solvers under the hood formulate a strategy using these ...
G.B. Dantzig and M.N. Thapa Linear Programming 1: Introduction, Springer, 1997 and Linear Programming 2: Theory and Extension, Spinger, 2003. Linear Programming 2, especially, is hard-core. I think these books supersede and render G.B. Dantzig "Linear Programming and Extensions" to be of historical interest only. Integer Programming:
For integer programming application where usage is made of CPLEX or Gurobi or other state of the art solver, is it better to go with a faster CPU or is it better to go for higher RAM (memory) or does it make sense to use a GPU (NVIDIA, etc.)?
However, this approach has often been used in the context of integer programming (IP) where the domain of the variables is limited and also can be estimated in prior. Now suppose we have a mixed-integer program, specifically a scheduling problem, with a mix of the binary (assigning) and positive (intervals) variables. My questions are:
I want to specifically know about this book “ Integer and Combinatorial Optimization by Nemhauser and Wolsey”. So some one who has read it should be able to advice whether it is good to read or it is well outdated now. It is one of the highly recommended books for integer programming based on search results, so there must be a reason for it ...
One possible solution: One clear solution is to use a binary expansion of the integer variables, and replace all the general integer variables with binary variables. I am wondering if there is a way to do this without a binary expansion (i.e. hopefully in the original space of variables). integer-programming. valid-inequalities.
Mixed Integer Programming with product of a binary variable and multiple continuous variables. 3.
In an integer program, how I can force a binary variable to equal 1 if some condition holds? 16 Single reference for Mixed Integer Programming formulations to linearize, handle logical constraints and disjunctive constraints, do Big M, etc?
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