Contemporary Engineering Sciences, Vol. 11, 2018, no. 69, 3421 - 3427 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/ces.2018.87335 Production Scheduling for a Job Shop Using a Mathematical Model Adel Mendoza Mendoza, Roberto Herrera Acosta and Juan Cabarcas Reyes Universidad del Atlántico, Industrial Engineering Program Carrera 30 Número 8-49 Puerto Colombia, Atlántico, Colombia Copyright © 2018 Adel Mendoza Mendoza, Roberto Herrera Acosta and Juan Cabarcas Reyes. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Today, all organizations are continually seeking to produce high quality, reliable, and timely goods and services that meet the needs of their customers. Therefore, production scheduling is one of the most complex activities in production management in organizations. In the present work, the production projection is developed in a Job Shop system using a mathematical model of linear integer programming whose objective is to minimize the total lateness. The developed model is validated by means of an application case with three jobs and four machines, obtaining the optimum programming according to the requirements. The results obtained have been compared with a scheduling software to evaluate the performance of the proposed model. Keywords:: Job Shop, production scheduling, linear programming, operations research 1. Introduction Production scheduling is a decision-making process that is frequently used in manufacturing and service companies for allocating resources to specific tasks or jobs in specific time periods in order to optimize one or more objectives. [1] Factors such as globalization set an important standard in the competitiveness of companies and the development of decision making tools for production scheduling is vital for companies to meet their commitments to customers. The applications of this type of tool make production processes more efficient.