An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System
Sustainable efficient energy is the key factor of any sustainable manufacturing system. This study addresses a multi-item sustainable economic energy efficient reliable manufacturing quantity (MSEEERMQ) model. The manufacturing system produces defective products during long-runs, where those product...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/12/15/2857 |
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| author | Mitali Sarkar Sungjun Kim Jihed Jemai Baishakhi Ganguly Biswajit Sarkar |
| author_facet | Mitali Sarkar Sungjun Kim Jihed Jemai Baishakhi Ganguly Biswajit Sarkar |
| author_sort | Mitali Sarkar |
| collection | DOAJ |
| description | Sustainable efficient energy is the key factor of any sustainable manufacturing system. This study addresses a multi-item sustainable economic energy efficient reliable manufacturing quantity (MSEEERMQ) model. The manufacturing system produces defective products during long-runs, where those products may be reworked under the optimum effect of energy and carbon footprint with some costs. As all products are not sold immediately, the holding cost increases based on time. The management decides the system design variable to reduce energy consumption cost and increase system reliability under some time-dependent holding costs, and the optimum energy such that the maximum profit of the production model is obtained with a system reliability as a decision variable. The inflation and time-value of money are considered to calculate the cost of the production model under efficient energy. Using control theory, an Euler−Lagrange method is employed to obtain the sustainable critical path, which gives the optimal solution of the model. There are two lemmas to prove the global optimal solution of the model through the control theory. There is an illustrative example to test the model. Under different conditions there are other two examples with graphical representation and sensitivity analysis. Numerical studies reveal that maximum profit is obtained at the optimal value of the decision variable. |
| first_indexed | 2024-04-11T18:00:11Z |
| format | Article |
| id | doaj.art-d013324b1753402c88db1d5a6909afb2 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T18:00:11Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-d013324b1753402c88db1d5a6909afb22022-12-22T04:10:32ZengMDPI AGEnergies1996-10732019-07-011215285710.3390/en12152857en12152857An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing SystemMitali Sarkar0Sungjun Kim1Jihed Jemai2Baishakhi Ganguly3Biswajit Sarkar4Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, KoreaDepartment of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, KoreaDepartment of Industrial Engineering, Hanyang University, Seoul 04763, KoreaDepartment of Mathematics & Statistics, Banasthali Vidyapith, Rajasthan 304 022, IndiaDepartment of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, KoreaSustainable efficient energy is the key factor of any sustainable manufacturing system. This study addresses a multi-item sustainable economic energy efficient reliable manufacturing quantity (MSEEERMQ) model. The manufacturing system produces defective products during long-runs, where those products may be reworked under the optimum effect of energy and carbon footprint with some costs. As all products are not sold immediately, the holding cost increases based on time. The management decides the system design variable to reduce energy consumption cost and increase system reliability under some time-dependent holding costs, and the optimum energy such that the maximum profit of the production model is obtained with a system reliability as a decision variable. The inflation and time-value of money are considered to calculate the cost of the production model under efficient energy. Using control theory, an Euler−Lagrange method is employed to obtain the sustainable critical path, which gives the optimal solution of the model. There are two lemmas to prove the global optimal solution of the model through the control theory. There is an illustrative example to test the model. Under different conditions there are other two examples with graphical representation and sensitivity analysis. Numerical studies reveal that maximum profit is obtained at the optimal value of the decision variable.https://www.mdpi.com/1996-1073/12/15/2857energysustainable manufacturing systemmulti-item productionvariable holding costinflationcontrol theory |
| spellingShingle | Mitali Sarkar Sungjun Kim Jihed Jemai Baishakhi Ganguly Biswajit Sarkar An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System Energies energy sustainable manufacturing system multi-item production variable holding cost inflation control theory |
| title | An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System |
| title_full | An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System |
| title_fullStr | An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System |
| title_full_unstemmed | An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System |
| title_short | An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System |
| title_sort | application of time dependent holding costs and system reliability in a multi item sustainable economic energy efficient reliable manufacturing system |
| topic | energy sustainable manufacturing system multi-item production variable holding cost inflation control theory |
| url | https://www.mdpi.com/1996-1073/12/15/2857 |
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