This document provides an overview of the input and output data files of the instances validated in the manuscript. Note: The units for each parameter are detailed in the manuscript.


#### 1. Input data

Input data is provided in the files *xx.dat*, where xx is the name of the instance in the manuscript. Each file contains the parameters related to order lines, coils, slitting lines and the manufacturing production process. 

Below is a breakdown of the sections and key components in the input data file (note: names starting with "s" correspond to sets and names starting with $p$ correspond to parameters):

# Order Lines Sets and Parameters
- **sOrders**: Set of order lines.
- **sOrdersMandatory**: Set of order lines that must be completed in the cutting plan.
- **pWidthOfOrder**: Width for each order line.
- **pWeightOfOrder**: Required weight for each order line.
- **pMaxWeightStrip**: Maximum weight strip parameter for each order.
- **pMinWeightStrip**: Minimum weight strip parameter for each order.
- **pPercentageLow**: Maximum lower deviation allowed for order weight.
- **pPercentageUp**:  Maximum  upper deviation allowed for order weight.

# Slitting Lines Parameters
- **sLines**: Set of slitting lines.
- **pMaximumWeightSetStrips**: Maximum output weight for the set of strips obtained in each pass.
- **sSpeedsOfLine**: Set of speeds for each slitting line.

# Coil Parameters
- **sCoils**: Set of coils.
- **sCoilsNotRewind**: Set of processed coils in stock (these coils cannot be rewound).
- **sCoilsToOrder**: Set of compatible coils for each order line.
- **pWidthOfCoil**: Width for each coil.
- **pWeightOfCoil**: Weight for each coil.
- **pLengthOfCoil**: Length for each coil.
- **pMinimumCutLength**: Minimum cut length for each coil.
- **pMaximumCutLength**: Maximum cut length for each coil.
- **pInverseRewindingSpeed**: Inverse rewind speed parameter for each coil.
- **pMinimumCutLengthLines**: Minimum cut length parameter for each coil on specific lines.
- **pDensity**: Density parameter.
- **pThicknessOfCoil**: Thickness for each coil. 

# Compatibility Parameters 
- **sOrdersToCoil**: Set of compatible order lines for each coil.
- **sLinesToCoil**: Set of compatible slitting lines for each coil.

# Additional Coil Parameters
- **pMaximumLengthSetStrips**: Maximum strip lengths for each coil and slitting line combination.
- **pMaximumNumberPasses**: Maximum number of passes parameter for each coil and line combination.
- **pMaximumNumberPassesCoil**: Maximum number of passes that can be obtained for each coil.
- **pMaximumNumberStrips**: Maximum number of strips that can be obtained for each coil.
- **pMaximumNumberKnives**: Maximum number of knives allowed for each coil and slitting line and speed combination.
- **pMinimumCuttingWidth**: Minimum strip width for each coil and slitting line and speed combination.
- **pProcessingTime**: Processing time for each coil and slitting line and speed combination.
- **pLessRestrictedLineSpeed**: This parameter takes the value 1 for the less restricted slitting line speed for each coil and slitting line and speed combination and 0 otherwise.

# Operation Process Parameters
- **pMinimumEdgeTrimTop**: Minimum edge trim required to maintain the uniformity of the cut (left side).
- **pTimeUsedCrossCut**: Time used to perform a crosscut
- **pMinimumEdgeTrimBottom**: Minimum edge trim required to maintain the uniformity of the cut (right side).
- **pMinimumReusableWidth**: Minimum width of strip leftovers to be considered retails.
- **pMinimumReusableWeight**: Minimum weight of strip leftovers to be considered retails


#### 2. Output Data

Results are presented in five files per instance. The structure of ach file is detailed below.

# xx_coils_results.tab

It contains one row per coil with the following information:

- **name**: The identifier of the coil.
- **usedCoil**: Binary indicator (1 or 0) indicating whether the coil has been used.
- **completeUse**: Binary indicator (1 or 0) indicating whether the coil has been completely used lengthwise.
- **slitCoil**: Binary indicator (1 or 0) indicating whether the coil has been slit.
- **rolledUp**: Binary indicator (1 or 0) indicating whether the coil has been rewound.
- **usedWidth**: The width of the coil that has been used.
- **ifLeftsStrip**: Binary indicator (1 or 0) indicating if the coil has leftover strips.
- **unUsedWidth**: The width of the unused part of the coil.
- **widthReuLefts**: The width of the reusable leftover strips.
- **widthNonReuLefts**: The width of the non-reusable leftover strips.
- **usedWeight**: The weight of the used coil.
- **rolledWeight**: The weight of the rewound coil.
- **leftsWeight**: The weight of the leftover strips.
- **scrapWeight**: The weight of the scrap material.
- **usedLength**: The length of the used coil.
- **passLength**: The length of the pass.
- **usedKnives**: The number of knives used.
- **nCrossCuts**: The number of crosscuts.

Example entries: 

| name | usedCoil | completeUse | slitCoil | rolledUp | usedWidth | ifLeftsStrip | unUsedWidth | widthReuLefts | widthNonReuLefts | usedWeight | rolledWeight | leftsWeight | scrapWeight | usedLength | passLength | usedKnives | nCrossCuts |
|------|----------|-------------|----------|----------|-----------|--------------|-------------|---------------|------------------|------------|--------------|-------------|-------------|------------|------------|------------|------------|
| C1   | 1        | 0           | 1        | 0        | 1055      | 1            | 195         | 195           | 0                | 16415.10   | 0            | 3063.10     | 157.08      | 714.66     | 357.33     | 7          | 1          |
| C2   | 1        | 0           | 1        | 0        | 219       | 1            | 56          | 56            | 0                | 3255.73    | 0            | 872.35      | 155.78      | 708.72     | 708.72     | 3          | 0          |
| C3   | 0        | 0           | 0        | 0        | 0         | 0            | 0           | 0             | 0                | 0          | 0            | 0           | 0           | 0          | 0          | 0          | 0          |


# xx_orders_results.tab

It contains one row for each order line with the following information:

- **name**: The identifier of the order line.
- **servedWeight**: The served weight for the order line.
- **remainingWeight**: The remaining weight for the order line.
- **nUsedLots**: The number of coils used for the order line.
- **nReusableStops**: The number of retails generated in the coils used to serve the order line.
- **nNonReusableStops**: The number of non-reusable strips generated in the coil to serve the order line.
- **totalEdgeTrim**: The total weight of the edge trim generated in the coils used to serve the order line.
- **accuracy**: The accuracy for the order line.
- **nStrips**: The number of strips used for the order line.

Example entries: 

| name | servedWeight | remainingWeight  | nUsedLots | nReusableStops | nNonReusableStops | totalEdgeTrim | accuracy | nStrips |
|------|--------------|------------------|-----------|----------------|-------------------|---------------|----------|---------|
| O1   | 19670.83     | 670.83           | 2         | 2              | 0                 | 312.86        | 1.04     | 11      |
| O2   | 0            | -5661            | 0         | 0              | 0                 | 0             | 0        | 0       |
| O3   | 431.78       | -58.22           | 1         | 1              | 0                 | 143.93        | 0.88     | 2       |


# xx_coils_strips_results.tab

The data in this file provides the details of the assignment of order lines to coils. It contains one row for each possible order line-coil combination with the following information:

- **orderId**: The order line identifier.
- **coilId**: The coil identifier.
- **assign**: Assignment status (1 for assigned, 0 for not assigned).
- **orderWidth**: The width of the order.
- **maxStripWeight**: The maximum allowed weight of the strips served for the order line.
- **nCrossCuts**: The number of crosscuts performed in the coil.
- **numStrips**: The number of strips served from the coil assigned to the order line.
- **weightAssigned**: The weight served from the coil assigned to the order line.

Example entries:

| orderId | coilId | assign | orderWidth | maxStripWeight | nCrossCuts | numStrips | weightAssigned |
|---------|--------|--------|------------|----------------|------------|-----------|----------------|
| O1      | C1     | 1      | 209        | 5904.12        | 1          | 10        | 16415.10       |
| O1      | C2     | 1      | 209        | 5904.12        | 0          | 1         | 3255.73        |
| O1      | C3     | 0      | 209        | 5904.12        | 0          | 0         | 0              |


# xx_coils_lines_results.tab

The data in this file provides the assignment of coils to the slitting lines. It contains one row for each possible coil-slitting line-speed combination with the following information: 

- **coil**: The coil identifier.
- **line**: The slitting line identifier.
- **speed**: The speed identifier.
- **maxNumberKnives**: The maximum number of knives that can be used.
- **minCuttingWidth**: The minimum cutting width for the coil in the slitting line at the speed.
- **maxLengthSetStrips**: The maximum allowed length of a set of strips.
- **maxWeightSetStrips**: The maximum allowed weight of a set of strips.
- **processingTime**: The cutting time.
- **crossCutsTime**: The time required for crosscuts.
- **rewindingTime**: The time required to rewind the coil.
- **assignLine**: The status of the assignment of the coil to a specific line and speed (1 if assigned).
- **coilProcessingTimeLine**: The total coil processing time for the assigned line and speed.

Example entries:

| coil | line | speed | maxNumberKnives  | minCuttingWidth  | maxLengthSetStrips  | maxWeightSetStrips | processingTime   | crossCutsTime | rewindingTime  | assignLine | coilProcessingTimeLine  |
|------|------|-------|------------------|------------------|---------------------|--------------------|------------------|---------------|----------------|------------|-------------------------|
| C1   | LCL1 | CORTA | 7                | 20               | 940.22              | 16000              | 12               | 20            | 0              | 0          | 0                       |
| C1   | LCL1 | LARGA | 7                | 40               | 940.22              | 16000              | 7                | 20            | 0              | 0          | 0                       |
| C1   | LCL4 | CORTA | 14               | 40               | 1049.61             | 16000              | 11               | 20            | 0              | 0          | 25                      |


# xx_orders_coils_strips_results.tab

It contains the assignment of the coil strips to the different order lines. For each row the following information is detailed: 
- **order**: The order line identifier.
- **coil**: The coil identifier.
- **strip**: The strip number within the coil.
- **assignStrip**: The strip assignment status (1 for assigned, 0 for not assigned).
- **width**: The width of the strip.

Example entries: 

| order | coil | strip | assignStrip | width |
|-------|------|-------|-------------|-------|
| O1    | C1   | 1     | 1           | 209   |
| O1    | C1   | 2     | 0           | 209   |
| O1    | C1   | 3     | 1           | 209   |