The main objective of portion control is to ensure that desired portions, u
sually specified by weight, axe placed in the packages. In can-filling in p
articular, an optimal goal would be to minimize underfilling and overfillin
g. This paper develops an advanced packaging process for automated can-fill
ing of fish, which achieves this goal. The overall automated system uses an
innovative technique of optimal overlapping and cutting of fish. First, a
batch of fish are overlapped in a linear orientation where the ordering seq
uence, the head orientation, and the degree of overlap between fish are the
Variables of optimization. The optimization is carried out with the object
ive of minimizing the absolute total weight of underfill and overfill of th
e produced cans.
The optimal portioning method should possess a computational speed that is
consistent with the process speed and the filling accuracy requirements. Se
veral models of optimization have been developed. This paper follows a mode
l development procedure that realizes a feasible and practical model. A num
erical example that uses real data on a batch of salmon is presented to ill
ustrate the approach and to demonstrate its feasibility in achieving both o
ptimization objective and the processing speed. A comparison of several opt
imization models that have been developed is given, with respect to the com
putational speed and the filling accuracy. Results show that the optimal po
rtioning method is able to achieve high production rates and improved filli
ng accuracy in can-filling process of salmon.