A variation of this MBR article was published in the November/December issue of The New Brewer (the journal of the Brewers Association). Before submitting the article I ran simulations of two, three, four and five batch sparges, which illustrate how the solutions convergence on a single answer as more sparges are added. It also changed the brewhouse efficiency multipliers by small amounts, which I'll get to shortly.
I recently read a thread on a professional brewers' forum about the logistics of no-sparge lautering. I was surprised to see the topic because very few commercial brewers employ the method. The reason why is because it's colossally inefficient, as shown in the chart below.
I won't be using the no-sparge method anytime soon because my mash/lauter tun is too small to hold the grist plus all of the water for a full-size batch. That doesn't damper my academic curiosity, though, so I created a set of no-sparge brewhouse efficiency multipliers and added them to the latest version of my chart.