A Scheduling Problem in the Baking Industry

This paper addresses a scheduling problem in an actual industrial environment of a baking industry where production rates have been growing every year and the need for optimized planning becomes increasingly important in order to address all the features presented by the problem. This problem contai...

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Main Authors: Felipe Augusto Moreira da Silva, Antonio Carlos Moretti, Anibal Tavares de Azevedo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/964120
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author Felipe Augusto Moreira da Silva
Antonio Carlos Moretti
Anibal Tavares de Azevedo
author_facet Felipe Augusto Moreira da Silva
Antonio Carlos Moretti
Anibal Tavares de Azevedo
author_sort Felipe Augusto Moreira da Silva
collection DOAJ
description This paper addresses a scheduling problem in an actual industrial environment of a baking industry where production rates have been growing every year and the need for optimized planning becomes increasingly important in order to address all the features presented by the problem. This problem contains relevant aspects of production, such as parallel production, setup time, batch production, and delivery date. We will also consider several aspects pertaining to transportation, such as the transportation capacity with different vehicles and sales production with several customers. This approach studies an atypical problem compared to those that have already been studied in literature. In order to solve the problem, we suggest two approaches: using the greedy heuristic and the genetic algorithm, which will be compared to small problems with the optimal solution solved as an integer linear programming problem, and we will present results for a real example compared with its upper bounds. The work provides us with a new mathematical formulation of scheduling problem that is not based on traveling salesman problem. It considers delivery date and the profit maximization and not the makespan minimization. And it also provides an analysis of the algorithms runtime.
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publishDate 2014-01-01
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series Journal of Applied Mathematics
spelling doaj-art-1322f3dc8f7e4c0bb7b6a7a1c35649112025-08-20T03:55:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/964120964120A Scheduling Problem in the Baking IndustryFelipe Augusto Moreira da Silva0Antonio Carlos Moretti1Anibal Tavares de Azevedo2Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Campinas, SP, BrazilSchool of Applied Sciences, State University of Campinas, Limeira, SP, BrazilSchool of Applied Sciences, State University of Campinas, Limeira, SP, BrazilThis paper addresses a scheduling problem in an actual industrial environment of a baking industry where production rates have been growing every year and the need for optimized planning becomes increasingly important in order to address all the features presented by the problem. This problem contains relevant aspects of production, such as parallel production, setup time, batch production, and delivery date. We will also consider several aspects pertaining to transportation, such as the transportation capacity with different vehicles and sales production with several customers. This approach studies an atypical problem compared to those that have already been studied in literature. In order to solve the problem, we suggest two approaches: using the greedy heuristic and the genetic algorithm, which will be compared to small problems with the optimal solution solved as an integer linear programming problem, and we will present results for a real example compared with its upper bounds. The work provides us with a new mathematical formulation of scheduling problem that is not based on traveling salesman problem. It considers delivery date and the profit maximization and not the makespan minimization. And it also provides an analysis of the algorithms runtime.http://dx.doi.org/10.1155/2014/964120
spellingShingle Felipe Augusto Moreira da Silva
Antonio Carlos Moretti
Anibal Tavares de Azevedo
A Scheduling Problem in the Baking Industry
Journal of Applied Mathematics
title A Scheduling Problem in the Baking Industry
title_full A Scheduling Problem in the Baking Industry
title_fullStr A Scheduling Problem in the Baking Industry
title_full_unstemmed A Scheduling Problem in the Baking Industry
title_short A Scheduling Problem in the Baking Industry
title_sort scheduling problem in the baking industry
url http://dx.doi.org/10.1155/2014/964120
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