Yup, I've automated calibrations of various DC/LF equipment I own, because paying to get everything calibrated with calibration lab would cost more than actually cost of running/supporting my own calibrator (tens of thousands).
And sad part - even if you interconnect everything with fancy relays and cables, you still must pay for external calibration lab for your sources/meters to get at reference standards in lab. There is no way around this.
To control insturments/collect/process data I use Raspberry Pi 3 or FPGA-SoC board, running linux and python app, called "calkit". I'm busy developing this app since August 2016 on free time.
Currently it supports full verification and calibration for 34401, 3457A, 3458A, K2001, K2002, K2182, K2400, K6517, R6581T, F8508A and Datron 1281, 4920, 4920M.
Calibration sources supported are Fluke 5700A, 5720A, 5720+5725A, 5730A and Datron 4808.
Example calkit report for 34401A.
Example calkit report of resistance standard calibrationBecause software also stores each instrument errors/serial numbers and customer information for traceability, it is not open-source nor public.