3D bin packing algorithm in PHP

We’re looking for an expert in PHP (OOP, Object Oriented Programming) and Mathematics to code a Class in PHP 5.3 or 5.6 in order to calculate the smallest bin (truck or container) to stuff a variable number of items. The Class will generate the ordered list of the packed items and how they should be positioned in the bin(s), considering these constrains: items could be rotated, no ovestack or no understack, on a pallet or without a pallet. Our budget is 150$. Our deadline is next Monday. REFERENCE SITES: The following websites do the exact calculation we’re looking for, and your results, will be compared with them: [login to view URL] [login to view URL] [login to view URL] INSPIRATIONALS: Here you have a repository of already made projects in different languages to have a look at: [login to view URL] Here you have something very similar at what we’re looking for already made in PHP: [login to view URL] Here you have the source code of a software to have a look at: [login to view URL] INPUT is a php array resulting from a web form that indicates a list of items with the following characteristics: • the number of all items • the dimensions of a single item • if the item can be rotated or not: turn side, turn up or standard position • if the item can be overstack / understack or not • if the items have to be loaded on a pallet or not OUTPUT is: • the calculation of the occupied space in m3 of all items when optimized • the free space left in m3 • a php array with the ordered list of all items and how they should be positioned in the truck or container, in order to occupy the smallest number of bin(s)