Modeling for the equitable and effective distribution of donated food under capacity constraints

IIE Transactions (Institute of Industrial Engineers)

Volumn 48, Issue 3, 2016, Pages 252-266

  Orgut, Irem Sengul ^a   Ivy, Julie ^a   Uzsoy, Reha ^a   Wilson, James R ^a  

^a North Carolina State University   (United States)

Author keywords

Capacitated network flow problems; Effectiveness; Equity; Fairness; Food bank; Food distribution; Food insecurity; Food supply chain; Humanitarian logistics; Resource allocation

Indexed keywords

FOOD SUPPLY; RESOURCE ALLOCATION; SENSITIVITY ANALYSIS; SUPPLY CHAINS;

EFFECTIVENESS; EQUITY; FAIRNESS; FOOD BANKS; FOOD DISTRIBUTION; FOOD INSECURITY; HUMANITARIAN LOGISTICS; NETWORK FLOW PROBLEMS;

UNCERTAINTY ANALYSIS;

EID: 84956593654     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/0740817X.2015.1063792     Document Type: Article

References (37)

1. Adivar, B. Atan, T., Ofac, B.S. and Orten, T. (2010) Improving social welfare chain using optimal planning model. Supply Chain Management-An International Journal, 15(4), 290-305.
2. Ahumada, O. and Villalobos, J.R. (2009) Application of planning models in the agri-food supply chain: a review. European Journal of Operational Research, 196(1), 1-20.
3. Akkerman, R., Farahani, P. and Grunow, M. (2010) Quality, safety and sustainability in food distribution: a review of quantitative operations management approaches and challenges. OR Spectrum, 32(4), 863-904.
4. Altay, N. (2012) Capability-based resource allocation for efective disaster response. IMA Journal of Management Mathematics, 24(2), 253-266.
5. Balcik, B., Beamon, B.M. and Smilowitz, K. (2008) Last mile distribution in humanitarian relief. Journal of Intelligent Transportation Systems, 12(2), 51-63.
6. Balcik, B., Iravani, S.M. and Smilowitz, K. (2010) A review of equity in non-proft and public sector: a vehicle routing perspective, in Cochran, J.J. (Ed.), Wiley Encyclopedia of Operations Research and Management Science, Wiley, Hoboken, NJ.
7. Balcik, B., Iravani, S. and Smilowitz, K. (2014) Multi-vehicle sequential resource allocation for a nonproft distribution system. IIE Transactions, 46(12), 1279-1297.
8. Beamon, B.M. and Balcik, B. (2008) Performance measurement in humanitarian relief chains. International Journal of Public Sector Management, 21(1), 4-25.
9. Celik, M., Ergun, O., Johnson, B., Keskinocak, P., Lorca, A., Pekgun, P. and Swann, J. (2012) Humanitarian logistics, in Mirchandani, P. (Ed.), INFORMS Tutorials in Operations Research, Vol. 9. INFORMS, Hanover, MD. pp. 18-49.
10. Chanta, S., Mayorga, M.E., Kurz, M.E. and McLay, L.A. (2011) The minimum p-envy location problem: a new model for equitable distribution of emergency resources. IIE Transactions on Healthcare Systems Engineering, 1(2), 101-115.
11. Coluccia, A., D'Alconzo, A. and Ricciato, F. (2012) On the opti-mality of max-min fairness in resource allocation. Annals of Telecommunications-Annales Des Télécommunications, 67(1-2), 15-26.
12. Davis, L.B., Sengul, I., Ivy, J.S., Brock III, L.G. and Miles, L. (2014) Scheduling food bank collections and deliveries to ensure food safety and improve access. Socio-Economic Planning Sciences, 48(3), 175-188.
13. Food and Agriculture Organization of the United Nations. (2013) Available at http://www.fao.org/publications/sof/en/ (accessed 2013).
14. Food Bank of Central & Eastern North Carolina. (2013a) Available at http://www.foodbankcenc.org/site/PageServer?pagename =FBCENCHome (accessed 2013).
15. Feeding America. (2015) Available at http://feedingamerica.org/ (accessed 2015).
16. Food Bank of Central & Eastern North Carolina. (2013b) Available at http://www.foodbankcenc.org/site/DocServer/PR-04.16.13.pdf?docID =5081 (accessed 2013).
17. Gove P.B. (ed). (1993) Webster's Third New International Dictionary of the English Language, Unabridged, Merriam-Webster, Springfeld, MA. Available at http://unabridged.merriam-webster.com/ (accessed 2015).
18. Hwang, H. (1999) A food distribution model for famine relief. Computers & Industrial Engineering, 37(1-2), 335-338.
19. IBM. (2013) IBM ILOG CPLEX optimization studio. Available at https://www.ibm.com/developerworks/downloads/ws/ilogcplex/ (accessed 2013).
20. Krejci, C.C. and Beamon, B.M. (2010) Environmentally-conscious supply chain design in support of food security. Operations and Supply Chain Management, 3(1), 14-29.
21. Kuhl, M.E., Ivy, J.S., Lada, E.K., Steiger, N.M., Wagner, M.A. and Wilson, J.R. (2010) Univariate input models for stochastic simulation. Journal of Simulation, 4(2), 81-97.
22. Leclerc, P.D., McLay, L.A. and Mayorga, M.E. (2012) Modeling equity for allocating public resources in Johnson, M.P. (Ed.), Community-Based Operations Research: Decision Modeling for Local Impact and Diverse Populations, Springer, New York, pp. 97-118.
23. Luss, H. (1999) On equitable resource allocation problems: a lexicographic minimax approach. Operations Research, 47(3), 361-378.
24. Malvankar-Mehta, M.S. and Xie, B. (2012) Optimal incentives for allocating HIV/AIDS prevention resources among multiple populations. Health Care Management Science, 15(4), 327-338.
25. Mandell, M.B. (1991) Modelling efectiveness-equity trade-ofs in public service delivery systems. Management Science, 37(4), 467-482.
26. Marsh, M.T. and Schilling, D.A. (1994) Equity measurement in facility location analysis: a review and framework. European Journal of Operational Research, 74(1), 1-17.
27. Mazumdar, R., Mason, L.G. and Douligeris, C. (1991) Fairness in network optimal fow control: optimality of product forms. IEEE Transactions on Communications, 39(5), 775-782.
28. Meng, Q. and Yang, H. (2002) Beneft distribution and equity in road network design. Transportation Research Part B: Methodological, 36(1), 19-35.
29. Schweigman, C., Bakker, E. and Snijders, T. (1990) Operations-research as a tool for analysis of food security problems. European Journal of Operational Research, 49(2), 211-221.
30. Sen, A. (1973) On Economic Inequality, Clarendon Press, Oxford, UK.
31. Simpson, J.A. and Weiner, E.S.C. (Eds) (1989) Oxford English Dictionary, second edition, Oxford University Press, Oxford, UK. Available at http://www.oed.com/ (accessed 2015).
32. Solak, S., Scherrer, C. and Ghoniem, A. (2014) The stop-and-drop problem in nonproft food distribution networks. Annals of Operations Research, 221(1), 407-426.
33. Stone, D.A. (1997) Policy Paradox: The Art of Political Decision Making, W.W. Norton, New York, NY.
34. United States Census Bureau. (2009) Income, poverty and health insurance in the United States: 2009. Available at http://www.census.gov/hhes/www/poverty/data/incpovhlth/2009/in dex.html (accessed 2013).
35. United States Department of Agriculture. (2015) Defnitions of Food Security. Available at http://www.ers.usda.gov/topics/food-nutrition-assistance/food-security-in-the-us/defnitions-of-food-security.aspx (accessed 2015).
36. Vossen, T., Ball, M., Hofman, R. and Wambsganss, M. (2003) A general approach to equity in trafc fow management and its application to mitigating exemption bias in ground delay programs. Air Trafc Control Quarterly, 11(4), 277-292.
37. Wang, L., Fang, L. and Hipel, K.W. (2007) On achieving fairness in the allocation of scarce resources: measurable principles and multiple objective optimization approaches. IEEE Systems Journal, 1(1), 17-28.