Patterns in JavaA tale of three patternsby Kevlin HenneyListing 1. Iteration over a sorted binary tree using recursive descent in an enumeration method.

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

Zero-one integer programming is a mathematical method of using a series of yes (1) and no (0) answers to arrive at a solution.

Additionally, efforts have been made to extend the feasibility pump framework to general mixed integer variables, demonstrating its versatility beyond purely binary problems [4].