Optimization proposals to the payment clearing

Abstract

<abstract><p>In recent years, the amount of payment transactions have exponentially increased and with them, new abstract payment methods and techniques have emerged. In this paper, we provide two new interesting optimization problem solutions aimed to reduce the amount of money needed in a multilateral set-off system. The presented concepts—built upon solutions of relatively new but well-known graph theory and mathematical optimization theory—show how the use of some payment transaction methods can improve the traditional compensation logic behind a payment transaction. These theoretic optimizations solutions can lead to an increase of payment transactions of a specific market area with a common monetary union and system of payments—be it a country, a group of countries, etc—and a specific range of time —be it a year, a month, etc—. Thus, improving, in economic terms, the existing competition, economic activity and welfare.</p></abstract>