IDEAS home Printed from https://ideas.repec.org/p/tiu/tiutis/15ffe163-821b-458a-80ef-d192c7273d36.html
   My bibliography  Save this paper

A resource-constrained optimal control model for crackdown on illicit drug markets

Author

Listed:
  • Baveja, A.
  • Feichtinger, G.
  • Hartl, R.F.
  • Haunschmied, J.L.
  • Kort, P.M.

    (Tilburg University, School of Economics and Management)

Abstract

In this paper we present a budget-constrained optimal control model aimed at finding the optimal enforcement profile for a street-level, illicit drug crackdown operation. The objective is defined as minimizing the number of dealers dealing at the end of the crackdown operation, using this as a surrogate measure of residual criminal activity. Analytical results show that optimal enforcement policy will invariably use the budget resources completely. Numerical analysis using realistic estimates of parameters shows that crackdowns normally lead to significant results within a matter of a week, and if they do not, it is likely that they will be offering very limited success even if pursued for a much longer duration. We also show that a ramp-up enforcement policy will be most effective in collapsing a drug market if the drug dealers are risk-seeking, and the policy of using maximum enforcement as early as possible is usually optimal in the case when the dealers are risk averse or risk neutral. The work then goes on to argue that the underlying model has some general characteristics that are both reasonable and intuitive, allowing possible applications in focussed, local enforcement operations on other similar illegal activities.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This a
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Baveja, A. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L. & Kort, P.M., 2000. "A resource-constrained optimal control model for crackdown on illicit drug markets," Other publications TiSEM 15ffe163-821b-458a-80ef-d, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:15ffe163-821b-458a-80ef-d192c7273d36
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/380154/ssrn-id200108.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kort, P.M. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L., 1998. "Optimal enforcement policies (crackdowns) on an illicit drug market," Other publications TiSEM c6de10bc-16b6-4f0c-830d-0, Tilburg University, School of Economics and Management.
    2. Baveja, Alok & Caulkins, Jonathan P. & Liu, Wensheng & Batta, Rajan & Karwan, Mark H., 1997. "When haste makes sense: Cracking down on street markets for illicit drugs," Socio-Economic Planning Sciences, Elsevier, vol. 31(4), pages 293-306, December.
    3. Edward J. Nell, 1994. "The Dynamics of the Drug Market," Challenge, Taylor & Francis Journals, vol. 37(2), pages 13-21, March.
    4. 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.
    5. 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.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anton Bondarev, 2016. "Intensity of R&D competition and the generation of innovations in heterogeneous setting," Journal of Evolutionary Economics, Springer, vol. 26(3), pages 621-653, July.
    2. Bondarev, Anton, 2014. "Endogenous specialization of heterogeneous innovative activities of firms under the technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 235-249.
    3. Gopalan, Ram & Narayan, Bindu, 2010. "Improving customer experience in tourism: A framework for stakeholder collaboration," Socio-Economic Planning Sciences, Elsevier, vol. 44(2), pages 100-112, June.
    4. Anton Bondarev & Alfred Greiner, 2018. "Technology lock-in with horizontal and vertical innovations through limited R&D spending," 4OR, Springer, vol. 16(1), pages 51-65, March.
    5. Redmond, Michael & Baveja, Alok, 2002. "A data-driven software tool for enabling cooperative information sharing among police departments," European Journal of Operational Research, Elsevier, vol. 141(3), pages 660-678, September.
    6. Baveja, Alok & Jamil, Mamnoon & Kushary, Debashis, 2004. "A sequential model for cracking down on street markets for illicit drugs," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 7-41, March.
    7. Yunker, James A., 2012. "Estimated optimal drug law enforcement expenditures based on U.S. annual data," Journal of Policy Modeling, Elsevier, vol. 34(3), pages 356-371.
    8. Kaya, C. Yalcin, 2004. "Time-optimal switching control for the US cocaine epidemic," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 57-72, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Baveja, Alok & Jamil, Mamnoon & Kushary, Debashis, 2004. "A sequential model for cracking down on street markets for illicit drugs," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 7-41, March.
    2. Redmond, Michael & Baveja, Alok, 2002. "A data-driven software tool for enabling cooperative information sharing among police departments," European Journal of Operational Research, Elsevier, vol. 141(3), pages 660-678, September.
    3. Kaya, C. Yalcin, 2004. "Time-optimal switching control for the US cocaine epidemic," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 57-72, March.
    4. 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.
    5. Baveja, Alok & Caulkins, Jonathan P. & Liu, Wensheng & Batta, Rajan & Karwan, Mark H., 1997. "When haste makes sense: Cracking down on street markets for illicit drugs," Socio-Economic Planning Sciences, Elsevier, vol. 31(4), pages 293-306, December.
    6. Ginoux, Jean-Marc & Naeck, Roomila & Ruhomally, Yusra Bibi & Dauhoo, Muhammad Zaid & Perc, Matjaž, 2019. "Chaos in a predator–prey-based mathematical model for illicit drug consumption," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 502-513.
    7. V. Borisov & G. Feichtinger & A. Kryazhimskii, 2000. "Optimal Enforcement on a Pure Seller's Market of Illicit Drugs," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 1-22, July.
    8. Wang, Shoou-Jiun & Batta, Rajan & Rump, Christopher M., 2005. "Stability of a crime level equilibrium," Socio-Economic Planning Sciences, Elsevier, vol. 39(3), pages 229-244, September.
    9. Feichtinger, Gustav & Grienauer, Waltraud & Tragler, Gernot, 2002. "Optimal dynamic law enforcement," European Journal of Operational Research, Elsevier, vol. 141(1), pages 58-69, August.
    10. Gragnani, A. & Rinaldi, S. & Feichtinger, G., 1997. "Dynamics of drug consumption: a theoretical model," Socio-Economic Planning Sciences, Elsevier, vol. 31(2), pages 127-137, June.
    11. 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.
    12. Gernot Tragler & Jonathan P. Caulkins & Gustav Feichtinger, 2001. "Optimal Dynamic Allocation of Treatment and Enforcement in Illicit Drug Control," Operations Research, INFORMS, vol. 49(3), pages 352-362, June.
    13. Kort, P.M. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L., 1996. "Optimal Enforcement Policies (Crackdowns) on a Drug Market," Other publications TiSEM 8f874586-670a-470a-95a6-b, Tilburg University, School of Economics and Management.
    14. Dawid, H. & Feichtinger, G. & Novak, A., 2002. "Extortion as an obstacle to economic growth: a dynamic game analysis," European Journal of Political Economy, Elsevier, vol. 18(3), pages 499-516, September.
    15. L. Leoncini & F. Rentocchini, 2010. "Counteracting cocaine production. An analysis based on a novel dataset," Working Papers 693, Dipartimento Scienze Economiche, Universita' di Bologna.
    16. Leonardo Raffo López, 2015. "Law enforcement and drug trafficking networks: a simple model," Documentos de Trabajo 13014, Universidad del Valle, CIDSE.
    17. Caulkins, Jonathan P. & Feichtinger, Gustav & Tragler, Gernot & Wallner, Dagmar, 2010. "When in a drug epidemic should the policy objective switch from use reduction to harm reduction?," European Journal of Operational Research, Elsevier, vol. 201(1), pages 308-318, February.
    18. Chi-Bin Cheng & Hsu-Shih Shih & Boris Chen, 2017. "Subsidy rate decisions for the printer recycling industry by bi-level optimization techniques," Operational Research, Springer, vol. 17(3), pages 901-919, October.
    19. Anthony A. Braga, 2001. "The Effects of Hot Spots Policing on Crime," The ANNALS of the American Academy of Political and Social Science, , vol. 578(1), pages 104-125, November.
    20. Gopalan, Ram & Narayan, Bindu, 2010. "Improving customer experience in tourism: A framework for stakeholder collaboration," Socio-Economic Planning Sciences, Elsevier, vol. 44(2), pages 100-112, June.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • K42 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Illegal Behavior and the Enforcement of Law

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiutis:15ffe163-821b-458a-80ef-d192c7273d36. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: https://www.tilburguniversity.edu/about/schools/economics-and-management/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.