摘要翻译：
本文讨论了组合（模块化）解决方案的聚合问题。对各种聚合问题提出了系统的观点。考虑了几种解结构：集合、集合形态、树等。聚集方法主要针对集合形态。聚合问题是基于子结构、上结构、中值/共识和扩展中值/共识等基本结构。在最后一种情况下，建立初步结构（如子结构、中值/共识），在考虑附加元素的利润和总资源约束的情况下考虑增加解元素。研究了四种聚合策略：（一）扩展策略（设计初始解的子结构作为“系统内核”，并通过附加元素对子结构进行扩展）；(ii)压缩策略（设计初始解的上层建筑并删除其某些元素）；㈢综合战略；和(iv)新的设计策略，以建立一个新的解决方案的扩展领域的解决方案元素。实际世界的数值例子（例如遥测系统、通信协议、学生计划、安全系统、基于网络的信息系统、投资、教育课程）说明了所建议的聚合方法。
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英文标题：
《Aggregation of Composite Solutions: strategies, models, examples》
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作者：
Mark Sh. Levin
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最新提交年份：
2011
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分类信息：

一级分类：Computer Science        计算机科学
二级分类：Software Engineering        软件工程
分类描述：Covers design tools, software metrics, testing and debugging, programming environments, etc. Roughly includes material in all of ACM Subject Classes D.2, except that D.2.4 (program verification) should probably have Logics in Computer Science as the primary subject area.
涵盖设计工具、软件度量、测试和调试、编程环境等。大致包括ACM所有主题课程D.2的材料，除了D.2.4（程序验证）可能应该有计算机科学中的逻辑作为主要主题领域。
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一级分类：Computer Science        计算机科学
二级分类：Artificial Intelligence        人工智能
分类描述：Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域，除了视觉、机器人、机器学习、多智能体系统以及计算和语言（自然语言处理），这些领域有独立的学科领域。特别地，包括专家系统，定理证明（尽管这可能与计算机科学中的逻辑重叠），知识表示，规划，和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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一级分类：Mathematics        数学
二级分类：Optimization and Control        优化与控制
分类描述：Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学，线性规划，控制论，系统论，最优控制，博弈论
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英文摘要：
  The paper addresses aggregation issues for composite (modular) solutions. A systemic view point is suggested for various aggregation problems. Several solution structures are considered: sets, set morphologies, trees, etc. Mainly, the aggregation approach is targeted to set morphologies. The aggregation problems are based on basic structures as substructure, superstructure, median/consensus, and extended median/consensus. In the last case, preliminary structure is built (e.g., substructure, median/consensus) and addition of solution elements is considered while taking into account profit of the additional elements and total resource constraint. Four aggregation strategies are examined: (i) extension strategy (designing a substructure of initial solutions as "system kernel" and extension of the substructure by additional elements); (ii) compression strategy (designing a superstructure of initial solutions and deletion of some its elements); (iii) combined strategy; and (iv) new design strategy to build a new solution over an extended domain of solution elements. Numerical real-world examples (e.g., telemetry system, communication protocol, student plan, security system, Web-based information system, investment, educational courses) illustrate the suggested aggregation approach.
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PDF链接：
https://arxiv.org/pdf/1111.6983