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Technical Note—Single Machine Scheduling with Controllable Processing Times and Number of Jobs Tardy

Author

Listed:
  • Richard L. Daniels

    (Duke University, Durham, North Carolina)

  • Rakesh K. Sarin

    (Duke University, Durham, North Carolina)

Abstract

Most scheduling research has treated individual job processing times as fixed parameters. In many practical situations, however, a manager may exert processing time control through the allocation of a limited resource. We consider the problem of joint sequencing and resource allocation when the scheduling criterion of interest is the number of tardy jobs. Theoretical results are derived that aid in developing the tradeoff curve between the number of tardy jobs and the total amount of allocated resource.

Suggested Citation

  • Richard L. Daniels & Rakesh K. Sarin, 1989. "Technical Note—Single Machine Scheduling with Controllable Processing Times and Number of Jobs Tardy," Operations Research, INFORMS, vol. 37(6), pages 981-984, December.
    • Handle: RePEc:inm:oropre:v:37:y:1989:i:6:p:981-984
    DOI: 10.1287/opre.37.6.981
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    Cited by:

    1. Moshe Zofi & Ron Teller & Moshe Kaspi, 2017. "Maximizing the profit per unit of time for the TSP with convex resource-dependent travelling times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(10), pages 1177-1182, October.
    2. Liu Guiqing & Li Kai & Cheng Bayi, 2015. "Preemptive Scheduling with Controllable Processing Times on Parallel Machines," Journal of Systems Science and Information, De Gruyter, vol. 3(1), pages 68-76, February.
    3. Carrasco, Rodrigo A. & Iyengar, Garud & Stein, Cliff, 2018. "Resource cost aware scheduling," European Journal of Operational Research, Elsevier, vol. 269(2), pages 621-632.
    4. Faramroze G. Engineer & George L. Nemhauser & Martin W. P. Savelsbergh & Jin-Hwa Song, 2012. "The Fixed-Charge Shortest-Path Problem," INFORMS Journal on Computing, INFORMS, vol. 24(4), pages 578-596, November.
    5. Maruev, Aleksey (Маруев, Алексей), 2018. "Development of a System for Ensuring the Integrated Security of Transboundary Transport Corridors in the Far East and the Arctic Zone of the Russian Federation [Разработка Системы Обеспечения Компл," Working Papers 041833, Russian Presidential Academy of National Economy and Public Administration.
    6. Dvir Shabtay & Moshe Kaspi, 2006. "Minimizing the makespan in open‐shop scheduling problems with a convex resource consumption function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(3), pages 204-216, April.

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