Imagine a puzzle game similar to Tetris with pieces rapidly falling onto a stack. Some fit perfectly. Others don’t. The goal is to pack the blocks as tightly and efficiently as possible. This game is a loose analogy to the challenge faced by cloud data centers several times every second as they try to allocate processing jobs (called virtual machines or VMs) as efficiently as possible. But in this case, the “pieces” (or VMs) appear and disappear, some with a lifespan of only minutes, and others, days. In spite of the initially unknown VM lifespans, we still want to fill as much of the physical servers as possible with these VMs for the sake of efficiency. If only we knew the approximate lifespan of a job, we could clearly allocate much better.

At the scale of large data center…

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