# Preference-based Multiobjective Virtual Machine Placement: A Ceteris Paribus Approach

## TL;DR

This paper introduces a ceteris paribus approach to multiobjective virtual machine placement, enabling preference-based solutions in cloud data centers with minimal additional computational cost.

## Contribution

It proposes a novel ceteris paribus interpretation for decision maker preferences integrated into a multiobjective VMP problem, along with an NSGA-II variant that efficiently returns preferred solutions.

## Key findings

- CP interpretation effectively incorporates preferences into VMP.
- The NSGA-II variant returns preferred solutions with negligible extra time.
- Preference-based VMP improves decision-making in cloud data centers.

## Abstract

This work adopts the notion of Ceteris Paribus (CP) as an interpretation of the Decision Maker (DM) preferences and incorporates it in a constrained multiobjective problem known as virtual machine placement (VMP). VMP is an essential multiobjective problem in the design and operation of cloud data centers concerned about placing each virtual machine to a physical machine (a server) in the data center. We analyze the effectiveness of CP interpretation on VMP problems and propose an NSGA-II variant with which preferred solutions are returned at almost no extra time cost.