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Preemptive repayment policy for multiple loans

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  • C. Ng
  • Q. Ding
  • T. Cheng
  • S. Lam

Abstract

We study the multi-loan-repayment problem by formulating it as a single-machine scheduling problem with preemptive and time-dependent processing times to minimize the makespan. We transform the scheduling problem into a continuous non-linear optimization problem and obtain an approximate solution by solving a series of the corresponding linear programming problems. We also identify agreeable conditions for the problem and discuss the computational complexity of the problem. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • C. Ng & Q. Ding & T. Cheng & S. Lam, 2012. "Preemptive repayment policy for multiple loans," Annals of Operations Research, Springer, vol. 192(1), pages 141-150, January.
    • Handle: RePEc:spr:annopr:v:192:y:2012:i:1:p:141-150:10.1007/s10479-011-0872-9
    DOI: 10.1007/s10479-011-0872-9
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    References listed on IDEAS

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    1. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    2. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    3. Gupta, Sushil K & Kunnathur, Anand S & Dandapani, Krishnan, 1987. "Optimal repayment policies for multiple loans," Omega, Elsevier, vol. 15(4), pages 323-330.
    4. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    5. Wieslaw Kubiak & Steef van de Velde, 1998. "Scheduling deteriorating jobs to minimize makespan," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(5), pages 511-523, August.
    6. Sundararaghavan, P. S. & Kunnathur, A. S., 1994. "Single machine scheduling with start time dependent processing times: Some solvable cases," European Journal of Operational Research, Elsevier, vol. 78(3), pages 394-403, November.
    7. T.C. Edwin Cheng & Qing Ding & Mikhail Y. Kovalyov & Aleksander Bachman & Adam Janiak, 2003. "Scheduling jobs with piecewise linear decreasing processing times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(6), pages 531-554, September.
    8. T.C. Cheng & Guoqing Wang, 2000. "Single Machine Scheduling with Learning Effect Considerations," Annals of Operations Research, Springer, vol. 98(1), pages 273-290, December.
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    Cited by:

    1. Adnan RASHID & Naveed YOUSAF, 2015. "Linkage of financial development with electricity-growth, nexus of India and Pakistan," EuroEconomica, Danubius University of Galati, issue 2(34), pages 151-160, November.
    2. Yasmin Agueda Rios-Solis & Mario Alberto Saucedo-Espinosa & Gabriel Arturo Caballero-Robledo, 2017. "Repayment policy for multiple loans," PLOS ONE, Public Library of Science, vol. 12(4), pages 1-12, April.

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