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Note: Bicriteria scheduling for minimizing flow time and maximum tardiness

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  • Suna Köksalan Kondakci
  • Meral Azizoglu
  • Murat Köksalan

Abstract

We consider the bicriteria problem of minimizing total flow time and maximum tardiness penalties for a given set of jobs on a single machine. We develop an algorithm that finds the optimal schedule for any given monotonic function of the two criteria by generating only a small subset of the efficient schedules.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:6:p:929-936
    DOI: 10.1002/(SICI)1520-6750(199609)43:63.0.CO;2-6
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    References listed on IDEAS

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    1. Horace Heck & Stephen Roberts, 1972. "A note on the extension of a result on scheduling with secondary criteria," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(2), pages 403-405, June.
    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. Azizoglu, Meral & Kondakci, Suna & Kirca, Omer, 1991. "Bicriteria scheduling problem involving total tardiness and total earliness penalties," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 17-24, October.
    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. 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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    Cited by:

    1. M Ozlen & M Azizoğlu, 2011. "Rescheduling unrelated parallel machines with total flow time and total disruption cost criteria," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 152-164, January.
    2. Mohamed Anis Allouche, 2010. "Manager’s Preferences Modeling within Multi-Criteria Flowshop Scheduling Problem: A Metaheuristic Approach," International Journal of Business Research and Management (IJBRM), Computer Science Journals (CSC Journals), vol. 1(2), pages 33-45, December.

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