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Don Knuth's MIP, 64 years later
In 1960, the famed computer scientist Don Knuth wrote a technical paper in which he considered an integer programming model for minimizing memory access latency of an IBM 650. I’ve included a…
Knuth ran Gomory’s algorithm on an IBM 650 with less than 10K of memory, but was unable to find an optimal solution. Thirty-five years later (when I was an undergrad), Dimitris Alevras successfully found the optimum value of 22996 using CPLEX on a SPARCstation 5. I found that the open source solver SCIP was able to find an optimal solution in two tenths of a second, and that Gurobi was able to solve it in less than 0.1s.
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