IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v63y2016i4p346-348.html
   My bibliography  Save this article

A note on efficient sequences with respect to total flow time and number of tardy jobs

Author

Listed:
  • Murat Güngör

Abstract

For the single‐machine scheduling problem with the objective of simultaneously minimizing total flow time and number of tardy jobs, a lower bound on the number of efficient sequences is known. However, the proof thereof, which makes use of a modified version of Smith's algorithm, is unduly lengthy and sophisticated. Adopting a totally new point of view, we present in this short article a much simpler proof based on the naive idea of pairwise interchange. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 346–348, 2016

Suggested Citation

  • Murat Güngör, 2016. "A note on efficient sequences with respect to total flow time and number of tardy jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(4), pages 346-348, June.
    • Handle: RePEc:wly:navres:v:63:y:2016:i:4:p:346-348
    DOI: 10.1002/nav.21694
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.21694
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.21694?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
    ---><---

    References listed on IDEAS

    as
    1. Koksalan Kondakci, Suna & Bekiroglu, Tuncay, 1997. "Scheduling with bicriteria: total flowtime and number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 53(1), pages 91-99, November.
    2. Rosser T. Nelson & Rakesh K. Sarin & Richard L. Daniels, 1986. "Scheduling with Multiple Performance Measures: The One-Machine Case," Management Science, INFORMS, vol. 32(4), pages 464-479, April.
    3. J. Michael Moore, 1968. "An n Job, One Machine Sequencing Algorithm for Minimizing the Number of Late Jobs," Management Science, INFORMS, vol. 15(1), pages 102-109, September.
    4. Wayne E. Smith, 1956. "Various optimizers for single‐stage production," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 59-66, March.
    5. Hamilton Emmons, 1975. "One machine sequencing to minimize mean flow time with minimum number tardy," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(3), pages 585-592, September.
    6. Erenay, Fatih Safa & Sabuncuoglu, Ihsan & Toptal, Aysegül & Tiwari, Manoj Kumar, 2010. "New solution methods for single machine bicriteria scheduling problem: Minimization of average flowtime and number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 201(1), pages 89-98, February.
    7. Koksalan, Murat & Burak Keha, Ahmet, 2003. "Using genetic algorithms for single-machine bicriteria scheduling problems," European Journal of Operational Research, Elsevier, vol. 145(3), pages 543-556, March.
    8. Ali S. Kiran & Ali Tamer Unal, 1991. "A single‐machine problem with multiple criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 721-727, October.
    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. Erenay, Fatih Safa & Sabuncuoglu, Ihsan & Toptal, Aysegül & Tiwari, Manoj Kumar, 2010. "New solution methods for single machine bicriteria scheduling problem: Minimization of average flowtime and number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 201(1), pages 89-98, February.
    2. Suna Köksalan Kondakci & Meral Azizoglu & Murat Köksalan, 1996. "Note: Bicriteria scheduling for minimizing flow time and maximum tardiness," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(6), pages 929-936, September.
    3. Chen, Rubing & Yuan, Jinjiang & Ng, C.T. & Cheng, T.C.E., 2021. "Single-machine hierarchical scheduling with release dates and preemption to minimize the total completion time and a regular criterion," European Journal of Operational Research, Elsevier, vol. 293(1), pages 79-92.
    4. Ali S. Kiran & Ali Tamer Unal, 1991. "A single‐machine problem with multiple criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 721-727, October.
    5. Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 2021. "Online production planning to maximize the number of on-time orders," Annals of Operations Research, Springer, vol. 298(1), pages 249-269, March.
    6. Rubing Chen & Jinjiang Yuan, 2020. "Single-machine scheduling of proportional-linearly deteriorating jobs with positional due indices," 4OR, Springer, vol. 18(2), pages 177-196, June.
    7. Vincent T’kindt & Karima Bouibede-Hocine & Carl Esswein, 2007. "Counting and enumeration complexity with application to multicriteria scheduling," Annals of Operations Research, Springer, vol. 153(1), pages 215-234, September.
    8. Nagar, Amit & Haddock, Jorge & Heragu, Sunderesh, 1995. "Multiple and bicriteria scheduling: A literature survey," European Journal of Operational Research, Elsevier, vol. 81(1), pages 88-104, February.
    9. Lee, Sang M. & Asllani, Arben A., 2004. "Job scheduling with dual criteria and sequence-dependent setups: mathematical versus genetic programming," Omega, Elsevier, vol. 32(2), pages 145-153, April.
    10. Guner, Ertan & Erol, Serpil & Tani, Kazuo, 1998. "One machine scheduling to minimize the maximum earliness with minimum number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 55(2), pages 213-219, July.
    11. Shabtay, Dvir & Gilenson, Miri, 2023. "A state-of-the-art survey on multi-scenario scheduling," European Journal of Operational Research, Elsevier, vol. 310(1), pages 3-23.
    12. Andreas C. Nearchou, 2018. "Multicriteria scheduling optimization using an elitist multiobjective population heuristic: the h-NSDE algorithm," Journal of Heuristics, Springer, vol. 24(6), pages 817-851, December.
    13. Subhash C. Sarin & Divya Prakash, 2004. "Equal Processing Time Bicriteria Scheduling on Parallel Machines," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 227-240, September.
    14. Koksalan Kondakci, Suna & Bekiroglu, Tuncay, 1997. "Scheduling with bicriteria: total flowtime and number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 53(1), pages 91-99, November.
    15. Ben-Daya, M. & Duffuaa, S. O. & Raouf, A., 1996. "Minimizing mean tardiness subject to unspecified minimum number tardy for a single machine," European Journal of Operational Research, Elsevier, vol. 89(1), pages 100-107, February.
    16. Marieke Quant & Marc Meertens & Hans Reijnierse, 2008. "Processing games with shared interest," Annals of Operations Research, Springer, vol. 158(1), pages 219-228, February.
    17. José R. Correa & Maurice Queyranne, 2012. "Efficiency of equilibria in restricted uniform machine scheduling with total weighted completion time as social cost," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(5), pages 384-395, August.
    18. Mehravaran, Yasaman & Logendran, Rasaratnam, 2012. "Non-permutation flowshop scheduling in a supply chain with sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 135(2), pages 953-963.
    19. Ben Hermans & Roel Leus & Jannik Matuschke, 2022. "Exact and Approximation Algorithms for the Expanding Search Problem," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 281-296, January.
    20. Gupta, Jatinder N. D. & Ho, Johnny C., 1996. "Scheduling with two job classes and setup times to minimize the number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 42(3), pages 205-216, April.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navres:v:63:y:2016:i:4:p:346-348. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.