The POD would be someone similar to Gorbachev or Andropov, in the 1980's realizing that Communism will fail, but wanting it to succeed. Not, someone wanting to do a Deng Shiu Ping style market reform, but to actually keep Communism going. That would describe both Gorbachev and Andropov. Andropov didn't have the time or energy to try it, and Gorbachev didn't have the competence.
What were the fundamental structural failures of the USSR, circa 1980?
Corruption, inefficiency and reduced living standards compared to the West, with WW2 being far in the past and besides not being a reason why West Germany was so far ahead of all of Eastern Europe. Also lack of quality in production, and production that didn't match demand due to lack of market-based pricing mechanisms.
If they decided on thorough reforms, computers could have played an important part. For production, learn from Japan. They had large enterprises that figured out how to have ever increasing quality using careful measurement, statistical analysis, and input from all employees on how to increase quality. In principal, the USSR could have used the same methods and given bonuses to factories based upon their results.
Accurate information was a critical ingredient. Here is where the KGB could have been used. Make entering incorrect data into the computer network a serious crime. Make that their entire function, plus trying to get Western technology.
For distribution, again, accurate, timely record keeping, would enable central planners to fine tune production and prices.
They didn't need advanced computers, just a lot of circa 1980's computers connected by network, providing useful data for technicians to analyze.