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International trade and biological invasions: A queuing theoretic analysis of the prevention problem


  • Batabyal, Amitrajeet A.
  • Beladi, Hamid


We propose and develop a new framework for studying the problem of preventing biological invasions caused by ships transporting internationally traded goods between countries and continents. In particular, we apply the methods of queuing theory to analyze the problem of preventing a biological invasion from a long run perspective. First, we characterize two simple regulatory regimes as two different kinds of queues. Second, we show how to pose a publically owned port manager's decision problem as an optimization problem using queuing theoretic techniques. Third, we compare and contrast the optimality conditions emanating from our analysis of the M/M/I/U and the M/M/I/I inspection regimes. We conclude by discussing possible extensions to our basic models.
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  • Batabyal, Amitrajeet A. & Beladi, Hamid, 2006. "International trade and biological invasions: A queuing theoretic analysis of the prevention problem," European Journal of Operational Research, Elsevier, vol. 170(3), pages 758-770, May.
  • Handle: RePEc:eee:ejores:v:170:y:2006:i:3:p:758-770

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    References listed on IDEAS

    1. Mark E. Eiswerth & G. Cornelis van Kooten, 2002. "Uncertainty, Economics, and the Spread of an Invasive Plant Species," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1317-1322.
    2. Batabyal, Amitrajeet A., 1995. "The Queuing Theoretic Approach To Groundwater Management," Economics Research Institute, ERI Study Papers 28349, Utah State University, Economics Department.
    3. Lars J. Olson & Santanu Roy, 2002. "The Economics of Controlling a Stochastic Biological Invasion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1311-1316.
    4. Mark Eiswerth & Wayne Johnson, 2002. "Managing Nonindigenous Invasive Species: Insights from Dynamic Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 23(3), pages 319-342, November.
    5. Barbier, Edward B., 2001. "A note on the economics of biological invasions," Ecological Economics, Elsevier, vol. 39(2), pages 197-202, November.
    6. -, 2000. "Introdução à técnica de planejamento," Copublicaciones, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 1617, December.
    7. Richard D. Horan & Charles Perrings & Frank Lupi & Erwin H. Bulte, 2002. "Biological Pollution Prevention Strategies under Ignorance:The Case of Invasive Species," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1303-1310.
    8. Perrings, Charles, 2000. "Introduction: Linking trade and the environment," Environment and Development Economics, Cambridge University Press, vol. 5(04), pages 483-529, October.
    9. M. E. Atkinson & D. C.M. Dickson, 2000. "An Introduction to Actuarial Studies," Books, Edward Elgar Publishing, number 2155, April.
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    Cited by:

    1. Amit Batabyal & Hamid Beladi & Won Koo, 2005. "Maritime Trade, Biological Invasions, and the Properties of Alternate Inspection Regimes," ERSA conference papers ersa05p164, European Regional Science Association.
    2. An-Sing Chen & Hui-Jyuan Gao & Mark Leung, 2008. "Is Trading Imbalance a Better Explanatory Factor in the Volatility Process? Intraday and Daily Evidence from E-mini S&P 500 Index Futures and Information-Based Hypotheses," Working Papers 0039, College of Business, University of Texas at San Antonio.
    3. Kıbış, Eyyüb Y. & Büyüktahtakın, İ. Esra, 2017. "Optimizing invasive species management: A mixed-integer linear programming approach," European Journal of Operational Research, Elsevier, vol. 259(1), pages 308-321.
    4. Amitrajeet Batabyal & Peter Nijkamp, 2008. "Optimal resource management in the presence of a deleterious alien species: a stochastic model for an orchard," Letters in Spatial and Resource Sciences, Springer, vol. 1(2), pages 107-115, December.
    5. Batabyal, Amitrajeet & Beladi, Hamid, 2013. "Ship inspections in invasive species management: Alternate regimes and their properties," MPRA Paper 72269, University Library of Munich, Germany.
    6. Amitrajeet A. Batabyal & Peter Nijkamp, 2007. "Optimal Resource Management in the Presence of a Deleterious Alien Species," Tinbergen Institute Discussion Papers 07-085/3, Tinbergen Institute.
    7. Amitrajeet A. Batabyal & Hamid Beladi, 2008. "Trade, the Damage from Alien Species, and the Effects of Protectionism Under Alternate Market Structures," Working Papers 0043, College of Business, University of Texas at San Antonio.
    8. Hennessy, David A., 2008. "Biosecurity incentives, network effects, and entry of a rapidly spreading pest," Ecological Economics, Elsevier, vol. 68(1-2), pages 230-239, December.
    9. Surkov, Ilya V. & Oude Lansink, Alfons G.J.M. & van Kooten, Olaf, 2006. "An empirical model of optimal import phytosanitary inspection," 2006 Annual meeting, July 23-26, Long Beach, CA 21253, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Amit Batabyal & Peter Nijkamp, 2005. "On Container Versus Time Based Inspection Policies in Invasive Species Management," ERSA conference papers ersa05p162, European Regional Science Association.
    11. Batabyal, Amitrajeet A. & Beladi, Hamid, 2009. "Trade, the damage from alien species, and the effects of protectionism under alternate market structures," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 389-401, May.
    12. Koo, Won W. & Mattson, Jeremy W., 2004. "Economics Of Detection And Control Of Invasive Species: Workshop Highlights," Special Reports 23068, North Dakota State University, Center for Agricultural Policy and Trade Studies.

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