A multi-objective mathematical model of financial flows in Omni-Channel distribution systems

Abstract

Nowadays, companies and financial institutions have different strategies and priorities aligned with their financial goals and digital maturity; however, they rapidly make efforts to meet customers’ ever-changing expectations. One of the technologies that can meet the needs and expectations of customers faster and more accurately is the Omni-channel distribution system. Within this system, a set of distribution channels is defined. In addition to increasing the level of service and customer satisfaction, the amount of product demand and sales increases, resulting in more revenue and profit. The present study aimed to design a mathematical multi-objective Mixed Integer Linear Programming (MOMILP) model to investigate the relationship between different components of an Omni-Channel system and an innovative retail business model in the form of a financial approach for the optimization of profitability. In order to confirm the accuracy of the proposed mathematical model, numerical experiments were carried out using near-reality data based on an integration of Non-Dominated Sorting Genetic Algorithm II (NSGA-II) and Red Deer Algorithm (RDA). To solve the problem, the input parameters of this algorithm and mathematical model were provided in the form of problems with three sizes: small, medium, and large. The problem with the small size provided a fast and highly precise optimized response.