IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v167y2015icp88-96.html
   My bibliography  Save this article

Scheduling of jobs with cross families in two stage manufacturing systems

Author

Listed:
  • Nekoiemehr, Nooshin
  • Selvarajah, Esaignani
  • Zhang, Guoqing

Abstract

This paper studies scheduling of n jobs in a two stage manufacturing system to minimize makespan when each stage has its own job families and families in each stage require sequence independent setups. In a manufacturing system that each stage has its own family; jobs belonging to different families in one stage may belong to the same family in another stage, and we call it cross families. To the best of our knowledge, there is no study on cross families in scheduling literature. Our problem is NP-hard for arbitrary number of families, and therefore we study the problem with fixed number of families. We first analyze some properties of the optimal schedule and show that Johnson sequence is optimal for jobs belonging to the same family on both machines. We develop an efficient branch and bound algorithm with complexity of O(nc), where c is a constant and a hybrid genetic algorithm for large scale problems, using the properties of the optimal schedule. Finally, we present computational experiment to demonstrate the effectiveness of our algorithms.

Suggested Citation

  • Nekoiemehr, Nooshin & Selvarajah, Esaignani & Zhang, Guoqing, 2015. "Scheduling of jobs with cross families in two stage manufacturing systems," International Journal of Production Economics, Elsevier, vol. 167(C), pages 88-96.
    • Handle: RePEc:eee:proeco:v:167:y:2015:i:c:p:88-96
    DOI: 10.1016/j.ijpe.2015.05.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527315001747
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2015.05.022?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bozorgirad, Mir Abbas & Logendran, Rasaratnam, 2013. "Bi-criteria group scheduling in hybrid flowshops," International Journal of Production Economics, Elsevier, vol. 145(2), pages 599-612.
    2. Logendran, Rasaratnam & deSzoeke, Paula & Barnard, Faith, 2006. "Sequence-dependent group scheduling problems in flexible flow shops," International Journal of Production Economics, Elsevier, vol. 102(1), pages 66-86, July.
    3. van den Nouweland, Anne & Krabbenborg, Marc & Potters, Jos, 1992. "Flow-shops with a dominant machine," European Journal of Operational Research, Elsevier, vol. 62(1), pages 38-46, October.
    4. Vo[ss], Stefan & Witt, Andreas, 2007. "Hybrid flow shop scheduling as a multi-mode multi-project scheduling problem with batching requirements: A real-world application," International Journal of Production Economics, Elsevier, vol. 105(2), pages 445-458, February.
    5. Hamed Hendizadeh, S. & Faramarzi, Hamidreza & Mansouri, S.Afshin & Gupta, Jatinder N.D. & Y ElMekkawy, Tarek, 2008. "Meta-heuristics for scheduling a flowline manufacturing cell with sequence dependent family setup times," International Journal of Production Economics, Elsevier, vol. 111(2), pages 593-605, February.
    6. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    7. Sun, Lin-Hui & Sun, Lin-Yan & Wang, Ming-Zheng & Wang, Ji-Bo, 2012. "Flow shop makespan minimization scheduling with deteriorating jobs under dominating machines," International Journal of Production Economics, Elsevier, vol. 138(1), pages 195-200.
    8. Logendran, Rasaratnam & Sriskandarajah, Chelliah, 1993. "Two-machine group scheduling problem with blocking and anticipatory setups," European Journal of Operational Research, Elsevier, vol. 69(3), pages 467-481, September.
    9. James C. Bean, 1994. "Genetic Algorithms and Random Keys for Sequencing and Optimization," INFORMS Journal on Computing, INFORMS, vol. 6(2), pages 154-160, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liou, Cheng-Dar & Hsieh, Yi-Chih, 2015. "A hybrid algorithm for the multi-stage flow shop group scheduling with sequence-dependent setup and transportation times," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 258-267.
    2. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.
    3. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    4. Bozorgirad, Mir Abbas & Logendran, Rasaratnam, 2013. "Bi-criteria group scheduling in hybrid flowshops," International Journal of Production Economics, Elsevier, vol. 145(2), pages 599-612.
    5. Shahvari, Omid & Logendran, Rasaratnam, 2016. "Hybrid flow shop batching and scheduling with a bi-criteria objective," International Journal of Production Economics, Elsevier, vol. 179(C), pages 239-258.
    6. Og[breve]uz, Ceyda & Sibel Salman, F. & Bilgintürk YalçIn, Zehra, 2010. "Order acceptance and scheduling decisions in make-to-order systems," International Journal of Production Economics, Elsevier, vol. 125(1), pages 200-211, May.
    7. Soares, Leonardo Cabral R. & Carvalho, Marco Antonio M., 2020. "Biased random-key genetic algorithm for scheduling identical parallel machines with tooling constraints," European Journal of Operational Research, Elsevier, vol. 285(3), pages 955-964.
    8. Liji Shen & Jatinder N. D. Gupta, 2018. "Family scheduling with batch availability in flow shops to minimize makespan," Journal of Scheduling, Springer, vol. 21(2), pages 235-249, April.
    9. Dolgui, Alexandre & Kovalev, Sergey & Kovalyov, Mikhail Y. & Nossack, Jenny & Pesch, Erwin, 2014. "Minimizing setup costs in a transfer line design problem with sequential operation processing," International Journal of Production Economics, Elsevier, vol. 151(C), pages 186-194.
    10. Antonio Costa & Fulvio Antonio Cappadonna & Sergio Fichera, 2017. "A hybrid genetic algorithm for minimizing makespan in a flow-shop sequence-dependent group scheduling problem," Journal of Intelligent Manufacturing, Springer, vol. 28(6), pages 1269-1283, August.
    11. Missaoui, Ahmed & Ruiz, Rubén, 2022. "A parameter-Less iterated greedy method for the hybrid flowshop scheduling problem with setup times and due date windows," European Journal of Operational Research, Elsevier, vol. 303(1), pages 99-113.
    12. Jürgen Strohhecker & Michael Hamann & Jörn-Henrik Thun, 2016. "Loading and sequencing heuristics for job scheduling on two unrelated parallel machines with long, sequence-dependent set-up times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(22), pages 6747-6767, November.
    13. Lin, Shih-Wei & Ying, Kuo-Ching & Lu, Chung-Cheng & Gupta, Jatinder N.D., 2011. "Applying multi-start simulated annealing to schedule a flowline manufacturing cell with sequence dependent family setup times," International Journal of Production Economics, Elsevier, vol. 130(2), pages 246-254, April.
    14. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    15. Amin-Naseri, Mohammad Reza & Beheshti-Nia, Mohammad Ali, 2009. "Hybrid flow shop scheduling with parallel batching," International Journal of Production Economics, Elsevier, vol. 117(1), pages 185-196, January.
    16. Paola Festa & Panos Pardalos, 2012. "Efficient solutions for the far from most string problem," Annals of Operations Research, Springer, vol. 196(1), pages 663-682, July.
    17. Javad Rezaeian & Reza Alizadeh Foroutan & Toraj Mojibi & Yacob Khojasteh, 2023. "Sensitivity Analysis of the Unrelated Parallel Machine Scheduling Problem with Rework Processes and Machine Eligibility Restrictions," SN Operations Research Forum, Springer, vol. 4(3), pages 1-24, September.
    18. Marko Ɖurasević & Domagoj Jakobović, 2019. "Creating dispatching rules by simple ensemble combination," Journal of Heuristics, Springer, vol. 25(6), pages 959-1013, December.
    19. Ayşegül Altın & Bernard Fortz & Mikkel Thorup & Hakan Ümit, 2013. "Intra-domain traffic engineering with shortest path routing protocols," Annals of Operations Research, Springer, vol. 204(1), pages 65-95, April.
    20. Dongni Li & Xianwen Meng & Miao Li & Yunna Tian, 2016. "An ACO-based intercell scheduling approach for job shop cells with multiple single processing machines and one batch processing machine," Journal of Intelligent Manufacturing, Springer, vol. 27(2), pages 283-296, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:167:y:2015:i:c:p:88-96. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.