Simulation Results for Multi-Class Multi-Server Queueing Systems with Cross-Training

The JSON file contains a number of cases for multi-class multi-server systems with partial class-server assignments (cross-training). For each recorded systems all possible (feasible) class-server assignments were generated, and simulation results were recorded. The simulation results (for each assignment) include: (i) marginal probabilities that each class has the corresponding number of items in the system, (ii) class-server utilizations (utilization of server time capacity), (iii) class server distribution with percentages of class flows assigned to each server. Maximum numbers of servers and classes were limited to 6. Please note that NOT ALL possible combinations for numbers of servers and classes were generated, due to the exponential growth of possible class-server assignments. However, for each presented case (with certain numbers of servers, classes, and certain arrival/service rates), ALL possible class-server assignments were generated and simulated. The presented results allow easy analysis and optimization of systems where such queue occurs (call-centers, production facilities, maintenance systems) and benchmarking with possible optimization algorithms for class-server assignments.该JSON数据集收录了多类别多服务器系统的若干案例，这类系统支持部分类别-服务器分配模式（交叉培训，cross-training）。针对每个收录的系统，我们生成了所有可行的类别-服务器分配方案，并记录了对应的仿真结果。每种分配方案对应的仿真结果包含以下内容：(i) 系统中各类别对应队列长度的边际概率分布；(ii) 类别-服务器利用率（即服务器时间容量的使用率）；(iii) 类别-服务器分配分布，即分配至各服务器的类别流占比。服务器与类别的最大数量均被限定为6。请注意，由于类别-服务器分配方案的数量呈指数级增长，并非所有服务器与类别的可能组合均被生成并纳入数据集。但针对每个展示的案例（具备特定的服务器数量、类别数量以及特定的到达率与服务率），所有可行的类别-服务器分配方案均被生成并完成仿真。本数据集提供的结果可便捷支持此类排队系统（如呼叫中心、生产设施、运维系统）的分析与优化，同时可用于针对类别-服务器分配方案的各类优化算法的性能基准测试。