We show how to transform any inequality defining a facet of some 0/1-polytope into an inequality defining a facet of the acyclic subgraph polytope. While this facet-recycling procedure can potentially be used to construct ‘nasty’ facets, it can also be used to better understand and extend the polyhedral theory of the acyclic subgraph and linear ordering problems.

“why” mind-set. We are particularly interested in your thoughts about recycling. In particular, we are interested in your thoughts about why you would recycle. For example, what are the underlying reasons for recycling, for what purpose would you recycle, etc.? Please take some time below to explain why you would go about recycling.

A gas-phase reactor with reversible exothermic reactions is the classical example of the many tradeoffs between operating costs and capital costs. Because per-pass conversion is limited by chemical equilibrium, recycle is almost always needed, and this gas recycle is expensive because of the high capital cost and high energy cost of gas compression. At low temperatures, conversion is limited by...

A generalised strategy for modelling and integration of an overall system is developed for the purpose of detailed economic analysis of industrial systems. The process industries today are facing severe challenges that lye in improvement in economic competitiveness, achieving a variety of the highest quality, the lowest cost and environmentally benign products from limited supply of low quality...

We show that modified versions of the linear congruential generator and the shift register generator are provably good for amplifying the correctness of a probabilistic algorithm. More precisely, if r random bits are needed for a BPP algorithm to be correct with probability at least 2/3, then O(r + k) bits are needed to improve this probability to 1 − 2−k. We also present a different pseudo-ran...

Our understanding of how genetic changes underlie the evolution of traits is growing fast. Two new studies now show that changes in the same genetic loci can drive the evolution of the same trait in multiple Drosophila species.