Instances and Results for the Two-Dimensional Guillotine Flexible Stock Size Cutting Stock Problem (2D-FSSCSP)

Full description of instances and results for the Two-Dimensional Guillotine Flexible Stock Size Cutting Stock Problem (2D-FSSCSP). The 2D-FSSCSP is a new variant of the 2D-CSP in which stocks of flexible sizes (bounded width and height) are available, as described in the research article titled "A large neighborhood search matheuristic for the two-dimensional guillotine flexible stock size cutting stock problem" (Hadj Salem and Robbes, 2026). The 2D-FSSCSP was formulated as item-based, strip-based, and pattern-based models and solved using an LNS matheuristic. Two classes of instances were considered: “Small” and “Large”. - The “Small” class comprises a total of 320 instances, which are divided into two subsets: “Variable-sized plates” (including “Flexible Stock Width (FSW) plates” and “Flexible Stock Height (FSH) plates” ) and “Bounded-sized plates” (= “Flexible Stock Size (FSS) plates”) . - The “Large” class comprises only 160 “Bounded-sized plates” (“Flexible stock (FSS) size plates”) instances. The format of an instance can be defined as follows: PS-%H-%W-N-D-V, where: - PS : is the “plate shape” H^(ub) × W^(ub), i.e., R means “Rectangular” (500 × 1000); - %H : is the % of H^(lb) relative to H^(ub) ; - %W : is the % of W^(lb) relative to W^(ub) ; - N : is the number of item types I; - D : is the total item types' demand, sum ( i∈I) d_i; - V : is the “version” (seed). The instances under consideration, along with their characteristics detailed in the file “instances_characteristics.csv”, are provided in the “Instances_2D_FSSCSP_Hadj Salem_Robbes_2026.zip” archive. The results obtained for these instances are provided in the “Results_2D_FSSCSP_Hadj Salem_Robbes_2026.zip” archive.二维切纸式柔性原料尺寸下料问题（Two-Dimensional Guillotine Flexible Stock Size Cutting Stock Problem, 2D-FSSCSP）的实例与结果完整说明。 二维切纸式柔性原料尺寸下料问题（2D-FSSCSP）是二维下料问题（2D-CSP）的全新变体，其支持使用尺寸灵活的原料（宽度与高度均设有上下界约束），相关研究详见论文《A large neighborhood search matheuristic for the two-dimensional guillotine flexible stock size cutting stock problem》（Hadj Salem与Robbes，2026）。 2D-FSSCSP被建模为基于项目、基于条带以及基于模式的三类数学模型，并通过大邻域搜索混合启发式算法（LNS matheuristic）完成求解。 本次研究共考虑两类实例：小型（Small）与大型（Large）。 - 小型（Small）类实例集共计320个，分为两个子集：变尺寸板材（Variable-sized plates）（包含柔性原料宽度板材（Flexible Stock Width, FSW plates）与柔性原料高度板材（Flexible Stock Height, FSH plates））以及有界尺寸板材（Bounded-sized plates，即柔性原料尺寸板材（Flexible Stock Size, FSS plates））。 - 大型（Large）类实例集仅包含160个有界尺寸板材（Bounded-sized plates，即柔性原料尺寸板材（Flexible Stock Size, FSS plates））实例。 单个实例的命名格式可定义为：PS-%H-%W-N-D-V，各字段含义如下： - PS：代表板材形状，格式为H^(上界) × W^(上界)，其中R代表矩形（Rectangular），标准尺寸为500 × 1000； - %H：原料高度下界H^(lb)相对于高度上界H^(ub)的占比； - %W：原料宽度下界W^(lb)相对于宽度上界W^(ub)的占比； - N：待切割工件的类型数量； - D：所有工件类型的总需求量，即∑(i∈I) d_i； - V：版本号（随机种子）。 本次所用的全部实例及其详细特征已收录于"instances_characteristics.csv"文件中，相关实例打包存储于"Instances_2D_FSSCSP_Hadj Salem_Robbes_2026.zip"压缩包内。针对这些实例得到的求解结果则存储于"Results_2D_FSSCSP_Hadj Salem_Robbes_2026.zip"压缩包中。