A Hybrid Biobjective Markov Chain Based Optimization Model for Sustainable Aggregate Production Planning

This research addresses the sustainable aggregate production planning problem by considering the outsourcing option and workforce skill levels as well as taking a Markov process approach for the inventory level. For this purpose, a hybrid biobjective mixed-integer nonlinear programming model featuri...

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Published in:IEEE transactions on engineering management Vol. 71; pp. 4273 - 4283
Main Authors: Tirkolaee, Erfan Babaee, Aydin, Nadi Serhan, Mahdavi, Iraj
Format: Journal Article
Language:English
Published: New York IEEE 2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Aggregate planning
Biobjective mixed-integer nonlinear programming (BOMINLP)
Costs
Inventory
Markov analysis
markov chain
Markov chains
Markov processes
Mathematical models
Mixed integer
Nonlinear programming
Numerical models
Optimization models
Outsourcing
Parameter sensitivity
Planning
Production
Production planning
Resource allocation
Sensitivity analysis
stochastic process
Stochastic processes
sustainable aggregate production planning (APP)
System dynamics
Uncertainty
Workforce planning
ISSN:0018-9391, 1558-0040
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Abstract This research addresses the sustainable aggregate production planning problem by considering the outsourcing option and workforce skill levels as well as taking a Markov process approach for the inventory level. For this purpose, a hybrid biobjective mixed-integer nonlinear programming model featuring a continuous-time Markov chain to accommodate the inventory decision process is developed. The proposed Markov chain approach efficiently describes system dynamics modeling of the production system through a stochastic process. The objective functions are to minimize total cost and total environmental pollution at the same time. To validate the applicability of the methodology and to evaluate the model complexity, three numerical examples are generated based on one of the previous studies in the literature. It is demonstrated that the suggested methodology is able to come up with the final feasible solution based on optimal inventory decisions in less than 65 s. Finally, a number of sensitivity analyses are presented to study the behavior of the objectives under real-world instability and discuss the practical implications and managerial insights. As one of the main findings, it is revealed that the objective functions have no sensitivity to some change intervals of the parameters, which can be analyzed more earnestly by the management in case of the resource allocation process.
AbstractList This research addresses the sustainable aggregate production planning problem by considering the outsourcing option and workforce skill levels as well as taking a Markov process approach for the inventory level. For this purpose, a hybrid biobjective mixed-integer nonlinear programming model featuring a continuous-time Markov chain to accommodate the inventory decision process is developed. The proposed Markov chain approach efficiently describes system dynamics modeling of the production system through a stochastic process. The objective functions are to minimize total cost and total environmental pollution at the same time. To validate the applicability of the methodology and to evaluate the model complexity, three numerical examples are generated based on one of the previous studies in the literature. It is demonstrated that the suggested methodology is able to come up with the final feasible solution based on optimal inventory decisions in less than 65 s. Finally, a number of sensitivity analyses are presented to study the behavior of the objectives under real-world instability and discuss the practical implications and managerial insights. As one of the main findings, it is revealed that the objective functions have no sensitivity to some change intervals of the parameters, which can be analyzed more earnestly by the management in case of the resource allocation process.
Author Mahdavi, Iraj
Tirkolaee, Erfan Babaee
Aydin, Nadi Serhan
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SubjectTerms Aggregate planning
Biobjective mixed-integer nonlinear programming (BOMINLP)
Costs
Inventory
Markov analysis
markov chain
Markov chains
Markov processes
Mathematical models
Mixed integer
Nonlinear programming
Numerical models
Optimization models
Outsourcing
Parameter sensitivity
Planning
Production
Production planning
Resource allocation
Sensitivity analysis
stochastic process
Stochastic processes
sustainable aggregate production planning (APP)
System dynamics
Uncertainty
Workforce planning
Title A Hybrid Biobjective Markov Chain Based Optimization Model for Sustainable Aggregate Production Planning
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