Well, you'd think that by reducing the amount of time it takes to generate your page you would reduce the number of open connections to your Apache server because the connections would close down more quickly.
In practice though, Apache by default keeps connections open for a configurable period of time unless it is directed by the browser to not persist connections. I thnk the default is 15 seconds and I don't know whether DreamHost changes this default.
So, uh, yes, you're right and there probably isn't a practical way for you to control the number of open connections. OTOH, you could request that support up the number of connections, assuming that your site is very efficient.
BTW, I thought I had read on another thread that the max number of open connections was configurable by site.
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