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One machine sequencing to minimize mean flow time with minimum number tardy

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  • Hamilton Emmons

Abstract

The problem of sequencing n jobs on one machine is considered, under the multiple objective of minimizing mean flow time with the minimum number of tardy jobs. A simple procedure is first proposed to schedule for minimum flow time with a specified subset of jobs on time. This is used in conjunction with Moore's Algorithm in a simple heuristic producing good and often optimal schedules. A branch‐bound algorithm is presented to produce the optimal schedule efficiently with the help of several theorems which eliminate much branching.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navlog:v:22:y:1975:i:3:p:585-592
    DOI: 10.1002/nav.3800220314
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.

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