Resource allocation is an essential aspect of successful Product Development (PD). In this paper, we formulate the dynamic resource allocation of the PD process as a convex optimization problem. Specially, we build and solve two variants of this issue: the budget-constrained problem and the performance-constrained problem. By using convex optimization, we propose a framework to optimally solve large problem instances at a relatively small computational cost. The solutions to both problems exhibit similar trends regarding resource allocation decisions and performance evolution. Furthermore, we show that the product architecture affects resource allocation, which in turn affects the performance of the PD process. By introducing centrality metrics for measuring the location of the modules and design rules within the product architecture network, we find that resource allocation decisions correlate to their metrics. These results provide simple, but powerful, managerial guidelines for efficiently designing and managing the PD process. Finally, for validating the model and its results, we introduce and solve two design case studies for a mechanical manipulator and for an automotive appearance design process.

中文翻译：

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通过凸优化为动态产品开发过程优化资源配置

资源分配是成功的产品开发 (PD) 的一个重要方面。在本文中，我们将 PD 过程的动态资源分配公式化为凸优化问题。特别地，我们构建并解决了这个问题的两个变体：预算约束问题和性能约束问题。通过使用凸优化，我们提出了一个框架，以相对较小的计算成本优化解决大型问题实例。这两个问题的解决方案在资源分配决策和性能演变方面表现出相似的趋势。此外，我们表明产品架构会影响资源分配，进而影响 PD 过程的性能。通过引入用于测量产品架构网络中模块位置和设计规则的中心性指标，我们发现资源分配决策与其指标相关。这些结果为有效设计和管理 PD 流程提供了简单但强大的管理指南。最后，为了验证模型及其结果，我们介绍并解决了机械操纵器和汽车外观设计过程的两个设计案例研究。