Bottleneck time spent

Now we want to derive a general scaling law for the time required to pass through a bottleneck. The only thing that matters is the behavior of 0 in the immediate vicinity of the minimum, since the time spent there dominates all other time... 

Even after the fixed points have annihilated each other, they continue to influence the flow—as in Section 4.3, they leave a ghost, a bottleneck region that sucks trajectories in and delays them before allowing passage out the other side. For the same reasons as in Section 4.3, the time spent in the bottleneck generically increases as (p-p, ) , where p, is the value at which the saddle-node bifurcation occurs. 

The decision maker has now to evaluate the tradeoffs between the time spent in the analysis and the reward obtained from the selected analysis. For the bottleneck of scale the decision maker is obliged to conduct an investment analysis, otherwise any company will accept a new acquisition without knowing about it is viability. Regarding the environmental and social aspects, the replacement of the equipment will influence these pillars only slightly. The addition of the chromatographic column will only reduce time, so effluents, raw material consumption, and workers conditions would remain the same. 

Eighty percent of the time is spent on 20% of the code. The majority of the code can mirror the business model After running profiling tools to ascertain performance bottlenecks, concentrate on the worst 10% of the 20%. 

It is hard to believe that, in order to see how the enzyme works, or how the protein folds up, one must view the movie in its entirety. It is more plausible that there are only a few interesting parts, during which the system passes through critical bottlenecks in its configuration space the rest of the time being spent exploring large, equilibrated reservoirs between the bottlenecks. If the trajectory calculation were... 

The longest stretch of dead. time in the production process is the acid neutralization with Arm Hammer bicarb. This several hour long wait would be a tremendous bottleneck in the production process if one would just sit around and wait for it to get done. On the other hand, if the waiting time for the acid to get neutralized is spent starting another batch, no bottleneck is experienced. All one would have to do is clean up and dry the reaction vessel, run another batch, and then put it through the purification process. In this way, one would have several batches running at once, all at different stages of the production and purification process. 

Much of the laboratory time (perhaps 70-80%) will be taken up with routine samples taken from the processing line, and examination of these samples is designed to detect any problem. The preparation of samples for analysis takes a long time, therefore routine samples should be taken on days when analysis may be started and finished conveniently. Details of bottlenecks and problems are given. The remainder of the time will be spent examining any samples involved in the outbreak of a foodborne disease and dealing with consumer complaints. 

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