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

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  • 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

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  • 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
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    References listed on IDEAS

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    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.
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