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A Review on Scheduling Problems for Minimizing the Number of Late Jobs

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In this paper, scheduling problems for minimizing the number of late jobs are examined. First, possible real world applications are listed to motivate the interests in these problems. Next, a problem classification scheme is provided. Then, a brief review of the problems, both deterministic and stochastic, that have been effectively solved, is presented. When stochastic scheduling problems are dealt with, they can be further classified in terms of the probabilistic distributions of due dates. After the review, we point out that there still remain some research problems whose solutions would have a beneficial impact on the practice. These would include analytical complexity, alternative performance measures, and parallel machines.

Abstract

In this paper, scheduling problems for minimizing the number of late jobs are examined. First, possible real world applications are listed to motivate the interests in these problems. Next, a problem classification scheme is provided. Then, a brief review of the problems, both deterministic and stochastic, that have been effectively solved, is presented. When stochastic scheduling problems are dealt with, they can be further classified in terms of the probabilistic distributions of due dates. After the review, we point out that there still remain some research problems whose solutions would have a beneficial impact on the practice. These would include analytical complexity, alternative performance measures, and parallel machines.

참고문헌 (20)

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  12. Karp, R. M., "Complexity of Computer Computations" (1972), Plenum Press
  13. Kise, H., "On Balut’s Algorithm and NP-Completeness for a Chance- Constrained Scheduling Prob", Management Science, 29, pp.384~388 (1983)
  14. Moore, M. J., "An N Job,One Machine Sequencing Algorithm for Minimizing the Number of Late Jobs", Management Science, 15, pp.102~109 (1968)
  15. Parker, G. R, "Discrete Optimization" (1988), Academic Press Inc
  16. Potts, C. N., "Single machine scheduling to minimize total late work", Operations Research, 40, pp.586~595 (1991)
  17. Pinedo, M., "Stochastic Scheduling with Release Dates and Due Dates", Operations Research, 31, pp.559~572 (1983)
  18. Pinedo, M., "Scheduling: Theory, Algorithms, and Systems" (2002), Prentice-Hall Inc
  19. Sarin, S. C., "Sequencing Jobs on a Single Machine with a Common Due Date and Stochastic Processing Times", European Journal of Operational Research, 51, pp.188~198 (1991)
  20. Sterna, M., "Late work scheduling in shop systems" (2006), Publishing House of Poznan University of Technology

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