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

Full description of instances 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 different characteristics of these instances are detailed in the file “instances_characteristics.csv”.