Towards Efficient Solvers for Optimisation Problems

H. Vo
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Abstract

Constraint programming (CP) is pervasive and widely used to solve real-time problems which input data could be scaled up to the huge sizes, and the results are required to be given efficiently and dynamically. Many technologies such as CP, hybrid technologies, mixed integer programming (MIP), constraint-based local search (CBLS), boolean satisfiability (SAT) could have different solvers and backends to solve the real-time problems. Streaming videos problem is the problem that requires to decide which videos to put in which cache servers in order to minimise the waiting time for all requests with a description of cache servers, network endpoints and videos are given. In this paper, we model the streaming videos problem in two different ways. The first model is implemented using heuristics, and the global constraints are used in the second model. The experiments are benchmarked using MiniZinc, which is an open-source constraint modelling language that can be used to model constraint satisfaction and optimisation problems in the high-level, solver-independent way. The aim of the paper is to benchmark these technologies to evaluate the execution time and final scores of the two models using large instances of input data from Google Hash Code.
面向优化问题的高效求解器
约束规划(CP)是一种普遍而广泛的应用于解决实时问题的方法,该问题要求输入数据可以按比例放大到巨大的尺寸,并且结果需要有效地和动态地给出。许多技术,如CP、混合技术、混合整数规划(MIP)、基于约束的局部搜索(CBLS)、布尔可满足性(SAT)等,都可以有不同的求解器和后端来解决实时问题。流媒体视频问题是一个需要决定哪些视频放在哪些缓存服务器上的问题,以便最大限度地减少所有请求的等待时间,并给出了缓存服务器、网络端点和视频的描述。在本文中,我们用两种不同的方法对流媒体视频问题进行建模。第一个模型使用启发式实现,第二个模型使用全局约束。实验使用MiniZinc进行基准测试,MiniZinc是一种开源约束建模语言,可用于以高级,求解器独立的方式对约束满足和优化问题进行建模。本文的目的是对这些技术进行基准测试,以使用来自Google Hash Code的大型输入数据实例来评估这两个模型的执行时间和最终分数。
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