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Efficient Algorithms for a Scheduling Problem and its Applications to Illicit Drug Market Crackdowns

Author

Listed:
  • Pu Cai

    (State University of New York at Buffalo)

  • Jin-yi Cai

    (State University of New York at Buffalo)

  • Ashish V. Naik

    (University of Chicago)

Abstract

We give polynomial time algorithms for a job scheduling problem. By duality we transform a special case of the drug market crackdown schedulingproblem to the above job scheduling problem and thus derive polynomial timealgorithms to the second problem. Finally, using the algorithm for the specialcase, we develop a quasipolynomial time approximation algorithm for thegeneral case of the drug market crackdown scheduling problem with monomialcost functions.

Suggested Citation

  • Pu Cai & Jin-yi Cai & Ashish V. Naik, 1998. "Efficient Algorithms for a Scheduling Problem and its Applications to Illicit Drug Market Crackdowns," Journal of Combinatorial Optimization, Springer, vol. 1(4), pages 367-376, December.
    • Handle: RePEc:spr:jcomop:v:1:y:1998:i:4:d:10.1023_a:1009738610804
    DOI: 10.1023/A:1009738610804
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    References listed on IDEAS

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    1. Jonathan P. Caulkins, 1993. "Local Drug Markets' Response to Focused Police Enforcement," Operations Research, INFORMS, vol. 41(5), pages 848-863, October.
    2. Baveja, Alok & Batta, Rajan & Caulkins, Jonathan P. & Karwan, Mark H., 1993. "Modeling the response of illicit drug markets to local enforcement," Socio-Economic Planning Sciences, Elsevier, vol. 27(2), pages 73-89, June.
    3. Caulkins, Jonathan P. & Larson, Richard C. & Rich, Thomas F., 1993. "Geography's impact on the success of focused local drug enforcement operations," Socio-Economic Planning Sciences, Elsevier, vol. 27(2), pages 119-130, June.
    4. Naik, Ashich V. & Baveja, Alok & Batta, Rajan & Caulkins, Jonathan P., 1996. "Scheduling crackdowns on illicit drug markets," European Journal of Operational Research, Elsevier, vol. 88(2), pages 231-250, January.
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    Cited by:

    1. Ritu Arora & Kavita Gupta, 2018. "Branch and bound algorithm for discrete multi- level linear fractional programming problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(2), pages 5-21.

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