Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers
The piecewise quadratic fuzzy number (PQFN) can signify uncertain information that exists in scientific, technological, and engineering fields. Hence, it is a useful tool for describing information in scheduling problems. This study examines structured n-job flow shop scheduling with fuzzy piecewise...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/3990534 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849306271969181696 |
|---|---|
| author | Tingwei Zhou Hamiden Abd El-Wahed Khalifa Seyyed Esmaeil Najafi S.A. Edalatpanah |
| author_facet | Tingwei Zhou Hamiden Abd El-Wahed Khalifa Seyyed Esmaeil Najafi S.A. Edalatpanah |
| author_sort | Tingwei Zhou |
| collection | DOAJ |
| description | The piecewise quadratic fuzzy number (PQFN) can signify uncertain information that exists in scientific, technological, and engineering fields. Hence, it is a useful tool for describing information in scheduling problems. This study examines structured n-job flow shop scheduling with fuzzy piecewise quadratic processing times and three machines. Close interval approximation of PQFNs is also offered as one of the most effective approximate intervals. Furthermore, the leasing cost of equipment is minimized with the use of a fuzzy style and an inventive algorithm. To demonstrate how the proposed framework can be used, a numerical illustration is provided. |
| format | Article |
| id | doaj-art-367af9fd2d4f45eb8103c69690ef464f |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-367af9fd2d4f45eb8103c69690ef464f2025-08-20T03:55:07ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/3990534Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy NumbersTingwei Zhou0Hamiden Abd El-Wahed Khalifa1Seyyed Esmaeil Najafi2S.A. Edalatpanah3School of Mathematics and PhysicsDepartment of Operations ResearchDepartment of Industrial EngineeringDepartment of Applied MathematicsThe piecewise quadratic fuzzy number (PQFN) can signify uncertain information that exists in scientific, technological, and engineering fields. Hence, it is a useful tool for describing information in scheduling problems. This study examines structured n-job flow shop scheduling with fuzzy piecewise quadratic processing times and three machines. Close interval approximation of PQFNs is also offered as one of the most effective approximate intervals. Furthermore, the leasing cost of equipment is minimized with the use of a fuzzy style and an inventive algorithm. To demonstrate how the proposed framework can be used, a numerical illustration is provided.http://dx.doi.org/10.1155/2022/3990534 |
| spellingShingle | Tingwei Zhou Hamiden Abd El-Wahed Khalifa Seyyed Esmaeil Najafi S.A. Edalatpanah Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers Discrete Dynamics in Nature and Society |
| title | Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers |
| title_full | Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers |
| title_fullStr | Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers |
| title_full_unstemmed | Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers |
| title_short | Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers |
| title_sort | minimizing the machine processing time in a flow shop scheduling problem under piecewise quadratic fuzzy numbers |
| url | http://dx.doi.org/10.1155/2022/3990534 |
| work_keys_str_mv | AT tingweizhou minimizingthemachineprocessingtimeinaflowshopschedulingproblemunderpiecewisequadraticfuzzynumbers AT hamidenabdelwahedkhalifa minimizingthemachineprocessingtimeinaflowshopschedulingproblemunderpiecewisequadraticfuzzynumbers AT seyyedesmaeilnajafi minimizingthemachineprocessingtimeinaflowshopschedulingproblemunderpiecewisequadraticfuzzynumbers AT saedalatpanah minimizingthemachineprocessingtimeinaflowshopschedulingproblemunderpiecewisequadraticfuzzynumbers |