I think anyone who's ever marked an exam with more than one question or section has wondered how to attack it, i.e.
Option 1) Mark all of the questions in a single script before moving onto the next student's script; or
Option 2) Go through each script and mark all the question 1s, then 2, and so on.
Idle rumination gives good points and bad points for each side (and possibly some more approaches), for example 1) means you can get through it faster since you're in 'question 1 mode', then 'question 2 mode', ... (i.e. less time spent switching your brain between different topics), and is likely more fair in the sense that you can consider all the answers to question i at the same time and make sure marks are distributed in a reasonable fashion.
On the other hand, marking a script at a time means you get used to a student's hand-writing, and may perhaps give benefit-of-the-doubt (or not) depending on the understanding that the student has shown previously in the same paper (but hopefully not on the basis of external bias from knowing anything about the student aside from what is on the script).
It would be interesting to see whether one technique or another tends to correlate with higher marks given by a marker, or fewer challenges once the student receives the script back (in cases where that happens), for example.
A brief search via scopus, arXiv and popular general-purpose search engines does not turn up anything particularly relevant. Does anyone here know of any published research on the matter?