The Pallet Loading Problem (PLP) maximizes the number of identical rectangular boxes placed within a rectangular pallet. Boxes may be rotated 90 so long as they are packed with edges parallel to the pallet’s edges, i.e., in an orthogonal packing. This paper defines the Minimum Size Instance (MSI) of an equivalence class of PLP, and shows that every class has one and only one MSI. We develop bou...

There exist a number of mathematical problems in the literature concerning warehouse storage optimization. However, to the best of our knowledge the problem of finding optimal slot sizes in pallet rack system minimizing the occupied storage space is not studied. More precisely, the problem is to optimally choose k ofm pallet racks with pallets in a warehouse, find optimal slot sizes in pallet r...

Over 135 million wood pallets were repaired for reuse in 1995. One of the most commonly damaged components in a wood pallet is the notched stringer. Metal plates, half companion stringers, and full companion stringers are repair methods described in the U.S. industry standard published by the American Society of Mechanical Engineers. This study evaluated the effect of these three stringer repai...

with the increase of communication and financial transaction through internet, on-line signature verification is an accepted biometric technology for access control and plays a significant role in authenticity and authorization in modernized society. therefore, fast and precise algorithms for the signature verification are very attractive. the goal of this paper is modeling of velocity signal t...