Optimization of distribution risk of hazardous materials in the production routing problem

Purpose: The production routing problem is created by combining the two problems of lot sizing and vehicle routing. Previous research has examined the effectiveness of this combination in reducing costs. In this paper, the production routing problem is considered with the aim of minimizing the risk...

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Main Authors: Amin Farahbakhsh, Amirsaman Kheirkhah
Format: Article
Language:fas
Published: Ayandegan Institute of Higher Education, Tonekabon, 2023-11-01
Series:تصمیم گیری و تحقیق در عملیات
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Online Access:https://www.journal-dmor.ir/article_168978_779951b3f58982af9851649d4bf8920c.pdf
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author Amin Farahbakhsh
Amirsaman Kheirkhah
author_facet Amin Farahbakhsh
Amirsaman Kheirkhah
author_sort Amin Farahbakhsh
collection DOAJ
description Purpose: The production routing problem is created by combining the two problems of lot sizing and vehicle routing. Previous research has examined the effectiveness of this combination in reducing costs. In this paper, the production routing problem is considered with the aim of minimizing the risk of production and distribution of hazardous materials. Attention to social and environmental criteria related to sustainability is being increased by researchers today. Hazardous materials are harmful to human health and the environment. Accidents related to these materials often have far-reaching adverse consequences. Risk is a danger measurement criterion for operations related to these materials.Methodology: The problem is modeled as a mixed integer program. The risk function in the proposed model is nonlinear and depends on the load of the machine, the population risk, and the type of hazardous material. Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. The results show that by using the approximate model, a better answer can be achieved at the same time. Through sensitivity analysis, the effect of changes to production capacity and warehouses on risk has also been looked into.Originality/Value: This research proposed the production routing problem for hazardous materials according to sustainability criteria using a nonlinear mathematical model and uses a piecewise linear approximation to solve the model.
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institution Kabale University
issn 2538-5097
2676-6159
language fas
publishDate 2023-11-01
publisher Ayandegan Institute of Higher Education, Tonekabon,
record_format Article
series تصمیم گیری و تحقیق در عملیات
spelling doaj-art-502309bf04b7478bbbe134a26b8e4aad2025-01-30T15:03:34ZfasAyandegan Institute of Higher Education, Tonekabon,تصمیم گیری و تحقیق در عملیات2538-50972676-61592023-11-018491793010.22105/dmor.2023.339666.1602168978Optimization of distribution risk of hazardous materials in the production routing problemAmin Farahbakhsh0Amirsaman Kheirkhah1Department of Industrial Engineering, Faculty of Engineering, Bu-Ali Sina University of Hamedan, Hamedan, Iran.Department of Industrial Engineering, Faculty of Engineering, Bu-Ali Sina University of Hamedan, Hamedan, Iran.Purpose: The production routing problem is created by combining the two problems of lot sizing and vehicle routing. Previous research has examined the effectiveness of this combination in reducing costs. In this paper, the production routing problem is considered with the aim of minimizing the risk of production and distribution of hazardous materials. Attention to social and environmental criteria related to sustainability is being increased by researchers today. Hazardous materials are harmful to human health and the environment. Accidents related to these materials often have far-reaching adverse consequences. Risk is a danger measurement criterion for operations related to these materials.Methodology: The problem is modeled as a mixed integer program. The risk function in the proposed model is nonlinear and depends on the load of the machine, the population risk, and the type of hazardous material. Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. The results show that by using the approximate model, a better answer can be achieved at the same time. Through sensitivity analysis, the effect of changes to production capacity and warehouses on risk has also been looked into.Originality/Value: This research proposed the production routing problem for hazardous materials according to sustainability criteria using a nonlinear mathematical model and uses a piecewise linear approximation to solve the model.https://www.journal-dmor.ir/article_168978_779951b3f58982af9851649d4bf8920c.pdfsustainabilitypiecewise linear functionriskinventory routing problemhazmat
spellingShingle Amin Farahbakhsh
Amirsaman Kheirkhah
Optimization of distribution risk of hazardous materials in the production routing problem
تصمیم گیری و تحقیق در عملیات
sustainability
piecewise linear function
risk
inventory routing problem
hazmat
title Optimization of distribution risk of hazardous materials in the production routing problem
title_full Optimization of distribution risk of hazardous materials in the production routing problem
title_fullStr Optimization of distribution risk of hazardous materials in the production routing problem
title_full_unstemmed Optimization of distribution risk of hazardous materials in the production routing problem
title_short Optimization of distribution risk of hazardous materials in the production routing problem
title_sort optimization of distribution risk of hazardous materials in the production routing problem
topic sustainability
piecewise linear function
risk
inventory routing problem
hazmat
url https://www.journal-dmor.ir/article_168978_779951b3f58982af9851649d4bf8920c.pdf
work_keys_str_mv AT aminfarahbakhsh optimizationofdistributionriskofhazardousmaterialsintheproductionroutingproblem
AT amirsamankheirkhah optimizationofdistributionriskofhazardousmaterialsintheproductionroutingproblem