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V-shape property for job sequences that minimize the expected completion time variance

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  • Cai, X.

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  • Cai, X., 1996. "V-shape property for job sequences that minimize the expected completion time variance," European Journal of Operational Research, Elsevier, vol. 91(1), pages 118-123, May.
    • Handle: RePEc:eee:ejores:v:91:y:1996:i:1:p:118-123
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    References listed on IDEAS

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    1. Cai, X., 1995. "Minimization of agreeably weighted variance in single machine systems," European Journal of Operational Research, Elsevier, vol. 85(3), pages 576-592, September.
    2. Prabuddha De & Jay B. Ghosh & Charles E. Wells, 1992. "On the Minimization of Completion Time Variance with a Bicriteria Extension," Operations Research, INFORMS, vol. 40(6), pages 1148-1155, December.
    3. Nicholas G. Hall & Wieslaw Kubiak & Suresh P. Sethi, 1991. "Earliness–Tardiness Scheduling Problems, II: Deviation of Completion Times About a Restrictive Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 847-856, October.
    4. Alan G. Merten & Mervin E. Muller, 1972. "Variance Minimization in Single Machine Sequencing Problems," Management Science, INFORMS, vol. 18(9), pages 518-528, May.
    5. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    6. Vina Vani & M. Raghavachari, 1987. "Deterministic and Random Single Machine Sequencing with Variance Minimization," Operations Research, INFORMS, vol. 35(1), pages 111-120, February.
    7. Samuel Eilon & I. G. Chowdhury, 1977. "Minimising Waiting Time Variance in the Single Machine Problem," Management Science, INFORMS, vol. 23(6), pages 567-575, February.
    8. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
    9. John J. Kanet, 1981. "Minimizing Variation of Flow Time in Single Machine Systems," Management Science, INFORMS, vol. 27(12), pages 1453-1459, December.
    10. Raghavachari, M., 1986. "A V-shape property of optimal schedule of jobs about a common due date," European Journal of Operational Research, Elsevier, vol. 23(3), pages 401-402, March.
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    Cited by:

    1. X. Cai & F. S. Tu, 1996. "Scheduling jobs with random processing times on a single machine subject to stochastic breakdowns to minimize early‐tardy penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1127-1146, December.
    2. Rabia Nessah & Chengbin Chu, 2008. "A Lower Bound for the Weighted Completion Time Variance Problem," Working Papers 2008-ECO-16, IESEG School of Management, revised May 2010.
    3. Nessah, Rabia & Chu, Chengbin, 2010. "A lower bound for weighted completion time variance," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1221-1226, December.
    4. Xiaoqiang Cai & Sean Zhou, 1999. "Stochastic Scheduling on Parallel Machines Subject to Random Breakdowns to Minimize Expected Costs for Earliness and Tardy Jobs," Operations Research, INFORMS, vol. 47(3), pages 422-437, June.

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