The virtual machine (VM) placement problem in data center is to deal with how to place N VMs onto M physical machines (PMs), aiming to minimize the total cost or to maximize the utility of PMs, etc. Genarally, a PM can host multiple VMs concurrently.

Several recent works have be focused on this topic, and they set a constraint that a single VM must run on one PM. This means that a single VM can not run across PMs. Thus, we can not assign a VM to multiple PMs.

However, there is no industry standard to indicate this contraint.

Here, I want to know if a single VM runs across several PMs.

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