A separable assignment problem (SAP) is defined by a set of bins and a set of items to pack in each bin; a value, f, for assigning item j to bin i; and a separate packing constraint for each bin—i.e., ...

SIAM Journal on Numerical Analysis, Vol. 48, No. 1 (2010), pp. 322-345 (24 pages) Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the ...

The travelling salesman problem (TSP) remains one of the most challenging NP‐hard problems in combinatorial optimisation, with significant implications for logistics, network design and route planning ...

This course studies approximation algorithms – algorithms that are used for solving hard optimization problems. Such algorithms find approximate (slightly suboptimal) solutions to optimization ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...

Not long ago, a team of researchers from Stanford and McGill universities broke a 35-year record in computer science by an almost imperceptible margin — four hundredths of a trillionth of a trillionth ...