Solution 1:

Where the authors of the book wrote randomically, they meant randomly and in fact intended to write randomly. This is demonstrably true.

  1. Randomically is not a word known to specialists and having a technical meaning (even an obscure one), because nobody is using it in published works – it is not found anywhere in the Google Books corpus (see: Google Ngram Viewer), nor has any lexicographer discovered the word and included it in a dictionary (see: OneLook).

  2. It is not a term coined by the authors of the book, or they would have defined it.

  3. The one place where it is used in the book (in Chapter 3 – see the excerpt in the question) refers to an example in Chapter 2, but there the example is described “in randomly distributed fashion”.

  4. Jonathan Leibiusky (co-author) and one of the editors at O’Reilly have just sent me a nice thank-you note for reporting the error.

Solution 2:

Based on the 66 results on Google Books, this is simply a misspelling made by – and this is an educated guess – non-native speakers of English. The candidates on the first couple of pages of the ~15000 results that randomically returns on Google are also of a similar nature. The authors of the book that you're reading fall into the same category.

So, no, it’s not an obscure technical term. It’s also not devolution of English. It’s just a relatively obscure misspelling.

Solution 3:

I have never heard this word before. I suspect it is simply an error, and that the writers meant randomly. I couldn’t find anything that defined it, and in the examples you gave, they appeared to mean randomly.

If someone else on here is aware of a technical definition for this word, I’ll gladly yield.

Solution 4:

By the phrase “the operation can’t be randomically distributed”, the authors of Getting Started with Storm are saying that a procedure based on randomness is unsuitable. In the first paragraph you quoted they point out that Shuffle Grouping uses randomness to allocate jobs; in the second, they say that jobs for an earlier example, word counting, cannot be distributed on a random basis.

The authors may have a valid basis for the distinction they attempt to make, but randomically is something of a clumsy nonce word rather than a distinguished addition to the language. As for your links to previous occurrences of the word, all three of them appear to have been written by persons not highly skilled in English:

  • In the first link, “First, let's create a table to performance some tests” and “This code didn't work with me” are telling signs.
  • In the second link, “If I start it manually, it boot fine … it only show the log of the guests that boot” is indicative.
  • In the third link, “This happen to some EMAILs but not to others … Proceeding again in the same way I, finally, send the email”.

That is, those links don’t support randomically as a valid and useful construction.