Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Integer programming and combinatorial optimization form the backbone of many decision-making and resource allocation problems across diverse fields, from logistics and telecommunications to finance ...

Methods for NP-hard discrete optimization problems, including general methods like branch-and-bound and cutting planes, as well as special purpose branch-and-cut methods. Students will be able to ...

The problem of applying Generalized Lagrange Multipliers (GLM) to 0-1 integer programming problems is investigated. It is shown that GLM can produce optimal solutions if and only if these solutions ...

Floating-point arithmetic can be expensive if you're using an integer-only processor. But floating-point values can be manipulated as integers, asa less expensive alternative. One advantage of using a ...

In this paper, we propose a reference direction approach and an interactive algorithm to solve the general multiple objective integer linear programming problem. At each iteration, only one mixed ...