Optimizing Protection Strategies for Supply Chains: Comparing Classic Decision-Making Criteria in an Uncertain Environment

References

• Averbakh , I. and Berman , O. 1997 . Minimax regret p-center location on a network with demand uncertainty . Location Science , 5 ( 4 ) : 246 – 54 .
   Google Scholar
• Averbakh , I. and Berman , O. 2000 . Minmax regret median location on a network under uncertainty . INFORMS Journal on Computing , 12 ( 2 ) : 104 – 10 .
   Web of Science ®Google Scholar
• Azaiez , M. and Bier , V. M. 2007 . Optimal resource allocation for security in reliability systems . European Journal of Operational Research , 181 : 773 – 86 .
   Web of Science ®Google Scholar
• Bard , J. 1998 . Practical bilevel optimization , Dordrecht, , The Netherlands : Kluwer Academic .
   Google Scholar
• Barrionuevo , A. and Deutsch , C. H. 2005 . A distribution system brought to its knees . New York Times , 1 September:C1
   Google Scholar
• Bell , M. 2003 . The use of game theory to measure the vulnerability of stochastic networks . IEEE Transactions on Reliability , 52 : 63 – 68 .
   Web of Science ®Google Scholar
• Brack , K. 1998 . Ripple effect from GM strike build . Industrial Distribution , 87 ( 8 ) : 19
   Google Scholar
• Brown , G. , Carlyle , M. , Salmerón , J. and Wood , K. 2005 . Analyzing the vulnerability of critical infrastructure to attack and planning defenses . INFORMS Tutorials in Operations Research , : 102 – 23 .
   Google Scholar
• Burkard , R. E. and Dollani , H. 2001 . Robust location problems with pos/neg weights on a tree . Network , 38 ( 2 ) : 102 – 13 .
   Google Scholar
• Cappanera , P. and Scaparra , M. P. 2011 . Optimal allocation of protective resources in shortest-path networks . Transportation Science , 45 (1): 64–80.
   Google Scholar
• Chang , N. and Davila , E. 2006 . Siting and routing assessment or solid waste management under uncertainty using the grey minimax regret criterion . Environmental Management , 38 ( 4 ) : 654 – 72 .
   PubMedGoogle Scholar
• Church , R. L. and ReVelle , C. 1974 . The maximal covering location problem . Papers in Regional Science , 32 ( 1 ) : 101 – 18 .
   Google Scholar
• Church , R. L. and Scaparra , M. P. 2006 . Protecting critical assets: The R-interdiction median problem with fortification . Geographical Analysis , 39 : 129 – 46 .
   Web of Science ®Google Scholar
• Church , R. L. and Scaparra , M. P. 2007 . “ Analysis of facility systems’ reliability when subject to attack or a natural disaster ” . In Critical infrastructure: Reliability and vulnerability: Advances in spatial science , Edited by: Murray , A. T. and Grubesic , T. H . 221 – 41 . Berlin : Springer .
   Google Scholar
• Church , R. L. , Scaparra , M. P. and Middleton , R. 2004 . Identifying critical infrastructure: The median and covering facility interdiction problem . Annals of the Association of American Geographers , 94 : 491 – 502 .
   Web of Science ®Google Scholar
• CPLEX, Version 11.1. Mountain View, CA ILOG, Inc.
   Google Scholar
• Current , J. , Ratick , S. and ReVelle , C. 1997 . Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach . European Journal of Operational Research , 100 ( 3 ) : 597 – 609 .
   Google Scholar
• Daskin , M. S. 1995 . Network and discrete location: Models, algorithms and applications. , New York : Wiley .
   Google Scholar
• Dempe , S. 2002 . Foundations of bilevel programming , Dordrecht, , The Netherlands : Kluwer Academic .
   Google Scholar
• Drezner , T. 2009 . Location of retail facilities under conditions of uncertainty . Annals of Operations Research , 167 ( 1 ) : 107 – 20 .
   Google Scholar
• Fox , J. 2005 . Meditation on risk . Fortune , 152 ( 7 ) : 50 – 62 .
   PubMedGoogle Scholar
• Fox , M. , Barbuceanu , M. and Teigen , R. 2000 . Agent-oriented supply-chain management . International Journal of Flexible Manufacturing Systems , 12 : 165 – 88 .
   Google Scholar
• Greenhouse , S. 2002 . Both sides see gains in deal to end port labor dispute . New York Times , 25 November: A14
   PubMedGoogle Scholar
• Grubesic , T. and Murray , A. 2006 . Vital nodes, interconnected infrastructures, and the geographies of network survivability . Annals of the Association of American Geographers , 96 : 64 – 83 .
   Web of Science ®Google Scholar
• Grubesic , T. , O’Kelly , M. and Murray , A. 2003 . A geographic perspective on commercial Internet survivability . Telematics and Informatics , 20 : 51 – 69 .
   Google Scholar
• Hakimi , S. 1964 . Optimum locations of switching centers and the absolute centers and medians of a graph . Operations Research , 12 ( 3 ) : 450 – 59 .
   Web of Science ®Google Scholar
• Holmgren , A. J. , Jenelius , E. and Westin , J. 2007 . Evaluating strategies for defending electric power networks against antagonistic attacks . IEEE Transactions on Power Systems , 22 ( 1 ) : 76 – 84 .
   Web of Science ®Google Scholar
• Jenelius , E. , Westin , J. and Holmgren , J. 2010 . Critical infrastructure protection under imperfect attacker perception . International Journal of Critical Infrastructure Protection , 3 ( 1 ) : 16 – 26 .
   Web of Science ®Google Scholar
• Jüttner , U. , Peck , H. and Christopher , M. 2003 . Supply chain risk management: Outlining an agenda for future research . International Journal of Logistics: Research and Applications , 6 ( 4 ) : 197 – 210 .
   Google Scholar
• Kasperski , A. and Zieliński , P. 2009 . On the approximability of minmax (regret) network optimization problems . Information Processing Letters , 109 : 262 – 66 .
   Google Scholar
• Kim , H. and O’Kelly , M. 2004 . “ Survivability of commercial backbones with peering: A case study of Korean networks ” . In 51st annual North American meetings of the Regional Science Association International ed. A. T. Murray and T. H. Grubesic, 107, 28. Berlin: Springer-Verlag.
   Google Scholar
• Kouvelis , P. , Karawarwala , A. and Gutierrez , G. J. 1992 . Algorithms for robust single and multiple period layout planning for manufacturing systems . European Journal of Operational Research , 63 : 287 – 303 .
   Web of Science ®Google Scholar
• Latour , A. 2001 . Trial by fire: A blaze in Albuquerque sets off major crisis for cell-phone giants—Nokia handles supply chain shock with aplomb as Ericsson of Sweden gets burned—Was Sisu the difference? . Wall Street Journal , 29 January:A1
   Google Scholar
• Leonard , D. 2005 . The only life line was the Wal-Mart . Fortune , 152 : 74 – 80 .
   Web of Science ®Google Scholar
• Levitin , G. and Hausken , K. 2010 . Defence and attack of systems with variable attacker system structure detection probability . Journal of the Operational Research Society , 61 ( 1 ) : 124 – 33 .
   Web of Science ®Google Scholar
• Liberatore , F. 2010 . Protection planning for critical infrastructure systems in location analysis: Models and algorithms . PhD dissertation, University of Kent, Kent, UK
   Google Scholar
• Liberatore , F. , Scaparra , M. P. and Daskin , M. S. 2011 . Analysis of facility protection strategies against an uncertain number of attacks: The Stochastic R-Interdiction Median Problem with Fortification . Computers & Operations Research , 38 : 357 – 66 .
   Web of Science ®Google Scholar
• Lim , C. and Smith , J. 2007 . Algorithms for discrete and continuous multicommodity flow network interdiction problems . IIE Transactions , 39 : 15 – 26 .
   Web of Science ®Google Scholar
• Losada , C. , Scaparra , M. P. , Church , R. L. and Daskin , M. S. 2009 . The multiple resource probabilistic interdiction median problem . KBS Working Paper No. , 187 University of Kent, Kent, UK
   Google Scholar
• Moore , J. and Bard , J. 1990 . The mixed integer linear bilevel programming problem . Operations Research , 38 : 911 – 21 .
   Web of Science ®Google Scholar
• Morton , D. , Pan , F. and Saegar , K. 2007 . Models for nuclear smuggling interdiction . IIE Transactions , 39:3–14.
   Google Scholar
• Mouawad , J. 2005 . Katrina's shock to the system . New York Times , 4 September:2.1
   Google Scholar
• Qiao , J. , Jeong , D. , Lawley , M. , Richard , J. P. , Abraham , D. M. and Yih , Y. 2007 . Allocating security resources to a water supply network . IIE Transactions , 39 ( 1 ) : 95 – 109 .
   Web of Science ®Google Scholar
• Rice , J. and Caniato , F. 2003 . Building a secure and resilient supply network . Supply Chain Management Review , 7 ( 5 ) : 22 – 30 .
   Google Scholar
• Scaparra , M. P. and Church , R. L. 2008a . A bilevel mixed-integer program for critical infrastructure protection planning . Computers & Operations Research , 35 : 1905 – 23 .
   Web of Science ®Google Scholar
• Scaparra , M. P. and Church , R. L. 2008b . A multi-level modeling approach for the capacitated p-median interdiction problem with fortification . KBS Working Paper No. , 209 University of Kent, Kent, UK
   Google Scholar
• Scaparra , M. P. and Church , R. L. 2008c . An exact solution approach for the interdiction median problem with fortification . European Journal of Operational Research , 189 : 76 – 92 .
   Web of Science ®Google Scholar
• Serra , D. and Marianov , V. 1998 . The p-median problem in a changing network: The case of Barcelona . Location Science , 6 : 383 – 94 .
   Google Scholar
• Serra , D. , Ratick , S. and ReVelle , C. 1996 . The maximum capture problem with uncertainty . Environment and Planning B , 23 : 49 – 59 .
   Google Scholar
• Sheffi , Y. 2001 . Supply chain management under the threat of international terrorism . International Journal of Logistics Management , 12 ( 2 ) : 1 – 11 .
   Google Scholar
• Simchi-Levi , D. , Kaminsky , P. and Simchi-Levi , E. 2003 . Designing and managing the supply chain: Concepts, strategies, and case studies. , Boston : McGraw-Hill, Irwin .
   Google Scholar
• Simison , R. L. 1998a . GM contains its quarterly loss at $809 million . Wall Street Journal , 24 October:A2
   Google Scholar
• Simison , R. L. 1998b . GM says strike reduced its earnings by $2.83 billion in 2nd and 3rd periods . Wall Street Journal , 17 August:1
   Google Scholar
• Snyder , L. V. 2006 . Facility location under uncertainty: A review . IIE Transactions , 38 ( 7 ) : 537 – 54 .
   Web of Science ®Google Scholar
• Snyder , L. V. and Daskin , M. S. 2006 . Stochastic p-robust location problems . IIE Transactions , 38 : 971 – 85 .
   Web of Science ®Google Scholar
• Snyder , L. V. , Scaparra , M. P. , Daskin , M. S. and Church , R. L. 2006 . Planning for disruptions in supply chain networks . INFORMS Tutorials in Operations Research: 234 , 57
   Google Scholar
• Stackelberg , H. 1952 . The theory of market economy. , New York : Oxford University Press .
   Google Scholar
• Census , U K . 2001 . http://www.statistics.gov.uk/census2001/census2001.asp (last accessed 8 May 2009)
   Google Scholar
• Urban , D. and Keitt , T. 2001 . Landscape connectivity: A graph theoretic perspective . Ecology , 82 : 1205 – 18 .
   Web of Science ®Google Scholar
• U.S. Census . 2000 . http://www.census.gov/main/www/cen2000.html (last accessed 8 May 2009)
   Google Scholar
• Vincente , L. , Savard , G. and Judice , J. 1996 . Discrete linear bilevel programming problem . Journal of Optimization Theory and Application , 89 : 597 – 614 .
   Google Scholar
• Vincenty , T. 2008 . Direct and inverse solutions of geodesics on the ellipsoid with application of nested equations . Survey Review , 23 ( 176 ) : 88 – 93 .
   Google Scholar
• Werners , B. and Wülfing , T. 2009 . Robust optimization of internal transports at a parcel sorting center operated by Deutsche Post World Net . European Journal of Operational Research , 201 ( 2 ) : 419 – 26 .
   Google Scholar
• Wollmer , R. 1964 . Removing arcs from a network . Operations Research , 12 : 934 – 40 .
   Web of Science ®Google Scholar
• Xu , J. , Johnson , M. P. , Fischbeck , P. S. , Small , M. J. and VanBriesen , J. M. 2010 . Robust placement of sensors in dynamic water distribution systems . European Journal of Operational Research , 202 ( 3 ) : 707 – 16 .
   Google Scholar
• Yu , G. and Yang , J. 1998 . On the robust shortest path problem . Computers and Operations Research , 25 ( 6 ) : 457 – 68 .
   Web of Science ®Google Scholar
• Yu , H. , Zeng , A. Z. and Zhao , L. 2009 . Single or dual sourcing: Decision-making in the presence of supply chain disruption risks . Omega , 37 : 788 – 800 .
   Web of Science ®Google Scholar
• Zhuang , J. and Bier , V. 2007 . Balancing terrorism and natural disasters—Defensive strategy with endogenous attacker effort . Operations Research , 55 ( 5 ) : 976 – 91 .
   Web of Science ®Google Scholar