Open AccessMathematical model for production sequencing in a manufacturing company
Author(s) -
Apolo Caicedo,
Jaramillo Parra,
Luis Alberto Garzón Rivera
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1388/1/012001
Subject(s) - job shop scheduling , production (economics) , permutation (music) , sequence (biology) , integer programming , production planning , computer science , mathematical optimization , software , operations research , industrial engineering , manufacturing engineering , engineering , mathematics , algorithm , routing (electronic design automation) , economics , computer network , physics , genetics , biology , acoustics , macroeconomics , programming language
The objective of the research was to determine the optimal sequence of production of n jobs in m operations, in a small footwear manufacturing company with characteristics of a flow shop machine environment, which minimizes the total time of completion of jobs in the production system, makespan. A mathematical model of integer linear programming was designed, coded and solved by means of the JuliaPro software. It shows the production sequence that does not consider permutation, and minimizes makespan with 3807 minutes. The mathematical model of optimization is presented as a flexible and valuable tool for operational decision making, which could be replicated in other manufacturing companies, impacting on the improvement of costs and delivery times.