基于多色集合理论的机场道面多弹坑多工艺抢修资源配置模型

A Multi-Process Resource Allocation Model for Rapid Repair of Multiple Bomb Craters on Airport Pavements Based on Polychromatic Set Theory

摘要: 抢修资源是机场道面弹坑抢修过程中的核心要素，如何形式化、结构化描述抢修资源，快速实现多弹坑多工艺抢修资源配置是道面抢修的前提与关键。针对机场道面抢修过程中多弹坑、多工艺、多抢修资源配置问题，本文提出了一种基于多色集合理论的机场道面多弹坑多工艺抢修资源配置模型。分析多弹坑多工艺抢修过程，明确弹坑与抢修工艺、抢修资源之间的关联关系。建立双层多色集合的道面抢修资源配置模型，I层级多色集合抢修资源模型用于描述抢修工艺与抢修工序、抢修资源之间的关联关系；II层级多色集合抢修资源模型用于描述多弹坑与多抢修工艺的关联关系，从而实现了多弹坑多工艺抢修资源的配置；以某机场抢修资源配置为例，设计开发原型系统验证了所提方法的有效与可行性。

Abstract: Emergency repair resources are the core element in the rapid restoration of bomb craters on airport pavements. The formalized and structured description of these resources, along with efficient allocation for multi-crater and multi-process repairs, serves as the prerequisite and key to successful pavement restoration. To address the challenges of multi-crater scenarios, multi-process workflows, and resource allocation in airport pavement repair, this paper proposes a resource allocation model based on Polychromatic Set Theory for rapid multi-crater and multi-process repairs. The study analyzes the repair process involving multiple craters and processes, clarifying the relationships among craters, repair techniques, and resources. A two-layer polychromatic set model is established: Layer I models the relationships between repair techniques, repair procedures, and resources. Layer II captures the associations between multiple craters and repair processes, enabling systematic resource allocation. A prototype system is developed and tested using a case study of resource allocation at an airport, demonstrating the effectiveness and feasibility of the proposed method.