Cutting Plan Statistics

Cutting plan statistics provide a detailed analysis of the cutting plan. These statistics are used to evaluate the efficiency and effectiveness of the cutting plan. Below are the details of the cutting plan statistics:

$C_{all}$ = Total weight of all cuts (including unfinished and pre-cut)

$C_o$ = Order weight

$C_p$ = Total weight of cuts marked as pre-cut, including their waste

$C_r$ = Total weight of cuts not marked as pre-cut, including their waste

$C_t$ = Total weight

$R_p$ = Weight of pre-cut reinforcement

$R_t$ = Weight of pre-cut reinforcement

$W_{all}$ = Total waste weight of all cuts (including unfinished and pre-cut)

$W_l$ = Weight of waste longer than or equal to the shortest waste length to be considered

$W_o$ = Remaining waste weight

$W_p$ = Waste weight of cuts marked as pre-cut

$W_r$ = Waste weight of cuts not marked as pre-cut

$W_s$ = Weight of waste shorter than the shortest waste length to be considered

• Total Weight ($C_t$): The total weight to be cut at the end of the cutting process. It is the sum of the total weight of cuts not marked as pre-cut, including their waste, and the total weight of cuts marked as pre-cut, excluding their waste.

$$C_t = C_{all} - W_p$$ $$C_t = C_r + C_p - W_p$$

• Theoretical Waste Weight ($W_t$): The weight of all waste within the selected cuts. This waste may be shorter than the shortest waste length to be considered.

$$W_t = W_o + W_s$$ $$W_t = W_{all} - W_r$$

• Order Weight ($C_o$): The total weight of cuts that do not contain reinforcement from layers below the selected layers and do not include pre-cut reinforcement, including their waste.

• Remaining Waste Weight ($W_o$): The waste weight that should remain after the cuts and placements are completed.

$$W_o = W_t - W_s$$ $$W_o = W_{all} - W_p - W_s$$

• Total Number of Lengths: The total number of selected cuts. Cuts containing pre-cut reinforcements are also included in this count.

• Order Number of Lengths: The number of cuts that do not contain reinforcement from layers below the selected layers and do not include pre-cut reinforcement.

• Pre-Cut Reinforcement Weight ($R_p$): The total weight of reinforcements within cuts marked as "pre-cut." The waste of these cuts is not included in this calculation.

$$R_p = C_p - W_p$$

• Reused Weight: The total weight of reinforcements left over from one diameter that can be used in a smaller diameter.

• Efficiency Percentage: A percentage that shows the efficiency of the cutting plan. The efficiency percentage is calculated as follows:

$$\frac{C_t - W_t}{C_t} \times 100$$

• Efficiency Percentage (Excluding Pre-Cut): A percentage that shows the efficiency of the cutting plan when pre-cut reinforcements are excluded. It is calculated as follows:

$$\frac{C_r - W_r}{C_r} \times 100$$