Modeling Approaches and Metrics to Evaluate Nonprofit Operations

  • Gemma BerenguerEmail author
Part of the International Series in Operations Research & Management Science book series (ISOR)


The Operations Research and Management Science (OR/MS) community is paying increasing attention to the analysis of nonprofit practices, which can significantly differ from for-profit ones. While profit is one of the most widely used performance metrics in for-profit settings, it is not appropriate for nonprofit operations. We start the chapter by suggesting a number of theoretical models that could represent nonprofit operations. Next, we present some strategies used by organizations to align the incentives and objectives of different decision makers participating in the same nonprofit operation. The bulk of the chapter is devoted to bringing to the attention of the humanitarian operations community different candidate metrics valid for measuring nonprofit performance. These metrics are not necessarily unique to nonprofit operations but are used by practitioners and scholars in a large variety of nonprofit situations.


Nonprofit operations Performance metrics Modeling approaches Managerial practices Input metrics Output metrics Efficiency metrics Costs Equity Equality 


  1. Aigner D, Lovell CAK, Schmidt P (1977) Formulation and estimation of stochastic frontier production function models. J Econom 6(1):21–37CrossRefGoogle Scholar
  2. Alchian AA, Kessel RA (1962) Competition, monopoly, and the pursuit of pecuniary gain. Asp Lab Econ 157:3–33Google Scholar
  3. Alexander J, Brudney JL, Yang K (2010) Symposium: accountability and performance measurement: the evolving role of nonprofits in the hollow state. Nonprofit Volunt Sect Q 39(4). doi:10.1177/0899764010369662Google Scholar
  4. Altay N, Labonte M (2014) Challenges in humanitarian information management and exchange: evidence from Haiti. Disasters 38(s1):50–72CrossRefGoogle Scholar
  5. Atkinson AB (1970) On the measurement of inequality. J Econom Theory 2(3):244–263CrossRefGoogle Scholar
  6. Atkinson AB (1987) On the measurement of poverty. Econom: J Econom Soc 55:749–764CrossRefGoogle Scholar
  7. Balcik B, Beamon BM (2008) Facility location in humanitarian relief. Int J Logist Res Appl 11(2):101–121CrossRefGoogle Scholar
  8. Balcik B, Iravani S, Smilowitz K (2009) A review of equity in nonprofit and public sector: a vehicle routing perspective. Encyclopedia of Operations Research and Management ScienceGoogle Scholar
  9. Baumol WJ (1965) Economic theory and operations analysis. Englewood Cliffs, New JerseyGoogle Scholar
  10. Baumol WJ (1967) Business behavior, value and growth. Harcourt, Brace & WorldGoogle Scholar
  11. Beamon BM (1999) Measuring supply chain performance. Int J Oper Prod Manag 19:275–292CrossRefGoogle Scholar
  12. Beamon BM, Balcik B (2008) Performance measurement in humanitarian relief chains. Int J Publ Sect Manag 21(1):4–25CrossRefGoogle Scholar
  13. Ben-Ner A, Van Hoomissen T (1991) Nonprofit organizations in the mixed economy. Ann Publ Coop Econo 62(4):519–550CrossRefGoogle Scholar
  14. Berenguer G, Richter A, Shen Z-J (2014) Challenges and strategies in managing nonprofit supply chains: an OR/MS perspective. Working paper, Purdue UniversityGoogle Scholar
  15. Berenguer G, Iyer A, Yadav P (2015) Disentangling the efficiency drivers in country-level global health programs: an empirical study. Working paper, Purdue UniversityGoogle Scholar
  16. Bertsimas D, Farias VF, Trichakis N (2011) The price of fairness. Oper Res 59(1):17–31CrossRefGoogle Scholar
  17. Brundtland GH (1987) World commission on environment and development. Our common future. Oxford University Press, Oxford, pp 8–9Google Scholar
  18. Campbell AM, Vandenbussche D, Hermann W (2008) Routing for relief efforts. Transp Sci 42(2):127–145CrossRefGoogle Scholar
  19. Carman J (2009) Nonprofits, funders, and evaluation: accountability in action. Am Rev Publ Adm 39(4):374–390CrossRefGoogle Scholar
  20. Chan FTS, Qi HJ (2003) An innovative performance measurement method for supply chain management. Supply Chain Manag: Int J 8(3):209–223CrossRefGoogle Scholar
  21. Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2(6):429–444CrossRefGoogle Scholar
  22. Clark J (1995) The state, popular participation, and the voluntary sector. World Dev 23(4):593–601CrossRefGoogle Scholar
  23. Clift R (2003) Metrics for supply chain sustainability. Clean Technol Environ Policy 5(3):240–247CrossRefGoogle Scholar
  24. Collier P, Dollar D (2002) Aid allocation and poverty reduction. Eur Econ Rev 46(8):1475–1500CrossRefGoogle Scholar
  25. Daskin M (2010) Service science. Wiley, New YorkCrossRefGoogle Scholar
  26. Daskin MS, Dean LL (2004) Location of health care facilities. Oper Res Health Care: Handb Methods Appl 70:43–76CrossRefGoogle Scholar
  27. Doerner K, Focke A, Gutjahr WJ (2007) Multicriteria tour planning for mobile healthcare facilities in a developing country. Eur J Oper Res 179(3):1078–1096CrossRefGoogle Scholar
  28. Easley D, O’Hara M (1983) The economic role of the nonprofit firm. Bell J Econ 14(2):531–538CrossRefGoogle Scholar
  29. Erlenkotter D (1977) Facility location with price-sensitive demands: private, public, and quasi-public. Manag Sci 24(4):378–386CrossRefGoogle Scholar
  30. Feldstein MS (1972) Distributional equity and the optimal structure of public prices. Am Econ Rev 62:32–36Google Scholar
  31. Fleßa S (2003) Priorities and allocation of health care resources in developing countries: a case-study from the Mtwara region, Tanzania. Eur J Oper Res 150(1):67–80CrossRefGoogle Scholar
  32. Foster J, Greer J, Thorbecke E (1984) A class of decomposable poverty measures. Econometrica 52(3):761–66CrossRefGoogle Scholar
  33. Francis P, Smilowitz K, Tzur M (2006) The period vehicle routing problem with service choice. Transp Sci 40(4):439–454CrossRefGoogle Scholar
  34. Glassman A, Fan V, Over M, Silverman R, McQueston K, Duran D (2013) More health for the money: a practical agenda for the global fund and its partners. Technical report, Center for Global DevelopmentGoogle Scholar
  35. Greene W (2004) Distinguishing between heterogeneity and inefficiency: stochastic frontier analysis of the world health organization’s panel data on national health care systems. Health Econ 13(10):959–980CrossRefGoogle Scholar
  36. Griffin PM, Scherrer CR, Swann JL (2008) Optimization of community health center locations and service offerings with statistical need estimation. IIE Trans 40(9):880–892CrossRefGoogle Scholar
  37. Griffin PM, Savelsbergh M, Swann JL (2009) The health care system: operations research and improving access. Technical report, CiteseerGoogle Scholar
  38. Gunasekaran A, Patel C, Tirtiroglu E (2001) Performance measures and metrics in a supply chain environment. Int J Oper Prod Manag 21(1/2):71–87CrossRefGoogle Scholar
  39. Gupta YP, Goyal S (1989) Flexibility of manufacturing systems: concepts and measurements. Eur J Oper Res 43(2):119–135CrossRefGoogle Scholar
  40. Hansmann HB (1980) The role of nonprofit enterprise. Yale Law J 89:835–901CrossRefGoogle Scholar
  41. Holguín-Veras J, Pérez N, Jaller M, Van Wassenhove LN, Aros-Vera F (2013) On the appropriate objective function for post-disaster humanitarian logistics model. J Oper Manag 31:262–280CrossRefGoogle Scholar
  42. Jacobs R (2001) Alternative methods to examine hospital efficiency: data envelopment analysis and stochastic frontier analysis. Health Care Manag Sci 4(2):103–115CrossRefGoogle Scholar
  43. James E, Rose-Ackerman SS (1986) The nonprofit enterprise in market economics. Harwood Academic Publishers, LondonGoogle Scholar
  44. Jauch LR, Glueck WF (1975) Evaluation of university professors’ research performance. Manag Sci 22(1):66–75CrossRefGoogle Scholar
  45. Johnson MP, Gorr WL, Roehrig S (2005) Location of service facilities for the elderly. Ann Oper Res 136(1):329–349CrossRefGoogle Scholar
  46. Kamanou G, Morduch J (2004) Measuring vulnerability to poverty. Insurance against poverty. Oxford University, Oxford, pp 155–75CrossRefGoogle Scholar
  47. Kanbur SMR (1987) Measurement and alleviation of poverty: with an application to the effects of macroeconomic adjustment. Staff Papers-International Monetary Fund, 60–85Google Scholar
  48. Kaplan EH, Merson MH (2002) Allocating HIV-prevention resources: balancing efficiency and equity. Am J Publ Health 92(12):1905–1907CrossRefGoogle Scholar
  49. Kleindorfer PR, Singhal K, Van Wassenhove LN (2005) Sustainable operations management. Prod Oper Manag 14(4):482–492CrossRefGoogle Scholar
  50. Kraiselburd S, Yadav P (2012) Supply chains and global health: an imperative for bringing operations management scholarship into action. Prod Oper Manag 22(2):377–381CrossRefGoogle Scholar
  51. Leclerc PD, McLay LA, Mayorga ME (2011) Modeling equity for allocating public resources. Commun- Based Oper Res 67:97–118Google Scholar
  52. Leonard HB, Epstein MJ, Tritter M (2007) Opportunity international: measurement and mission. Harvard Business School HBS case N9–307–067Google Scholar
  53. Leventhal GS (1976) What should be done with equity theory? New approaches to the study of fairness in social relationships. Department of Psychology, Wayne State University, Detroit, Michigan 48202Google Scholar
  54. Lien R, Iravani SMR, Smilowitz KR (2014) Sequential resource allocation for nonprofit operations. Oper Res 62(2):301–317CrossRefGoogle Scholar
  55. Ligon E, Schechter L (2003) Measuring vulnerability. Econ J 113(486):95–102CrossRefGoogle Scholar
  56. Mancebon MJ, Molinero CM (2000) Performance in primary schools. J Oper Res Soc 51(7):843–854CrossRefGoogle Scholar
  57. Mandell MB (1991) Modelling effectiveness-equity trade-offs in public service delivery systems. Manag Sci 37(4):467–482CrossRefGoogle Scholar
  58. Marsh MT, Schilling DA (1994) Equity measurement in facility location analysis: a review and framework. Eur J Oper Res 74(1):1–17CrossRefGoogle Scholar
  59. Mosley P, Hudson J, Verschoor A, Down C (2004) Aid, poverty reduction and the ‘new conditionality’. Econ J 114(496):F217–F243CrossRefGoogle Scholar
  60. Nagurney A, Yu M, Qiang Q (2009) Supply chain network design for critical needs with outsourcing. Pap Reg Sci 90(1):123–142CrossRefGoogle Scholar
  61. Neely A, Gregory M, Platts K (1995) Performance measurement system design. Int J Oper Prod Manag 15(4):80–116CrossRefGoogle Scholar
  62. Ogryczak W (2000) Inequality measures and equitable approaches to location problems. Eur J Oper Res 122(2):374–391CrossRefGoogle Scholar
  63. Pearce DW, Atkinson GD (1993) Capital theory and the measurement of sustainable development: an indicator of “weak” sustainability. Ecol Econ 8(2):103–108CrossRefGoogle Scholar
  64. Pedraza-Martinez AJ, Van Wassenhove LN (2013) Vehicle replacement in the international committee of the Red Cross. Prod Oper Manag 22(2):365–376CrossRefGoogle Scholar
  65. Pierskalla W (2005) Supply chain management of blood banks. Oper Res Health Care 70(2):103–145CrossRefGoogle Scholar
  66. Rangan S, Samii R, Van Wassenhove LN (2006) Constructive partnerships: when alliances between private firms and public actors can enable creative strategies. Acad Manag Rev 31(3):738–751CrossRefGoogle Scholar
  67. Rawls J (1999) A theory of justice. Belknap Press, CambridgeGoogle Scholar
  68. Samii R, Van Wassenhove LN (2003) The United Nations Joint Logistics Centre (UNJLC): the genesis of a humanitarian relief coordination platform. INSEAD case study, Paris Ref 603–010–1Google Scholar
  69. Savas ES (1978) On equity in providing public services. Manag Sci 24(8):800–808CrossRefGoogle Scholar
  70. Sen A (1976) Poverty: an ordinal approach to measurement. Econom: J Econom Soc 44(2):219–231CrossRefGoogle Scholar
  71. Seuring S, Müller M (2008) From a literature review to a conceptual framework for sustainable supply chain management. J Clean Prod 16(15):1699–1710CrossRefGoogle Scholar
  72. Sheffi Y (2006) Resilience reduces risk. Logist Q 12(1):12–14Google Scholar
  73. Shepherd C, Gunter H (2006) Measuring supply chain performance: current research and future directions. Int J Prod Perform Manag 55(3/4):242–258CrossRefGoogle Scholar
  74. Su X, Zenios SA (2006) Recipient choice can address the efficiency-equity trade-off in kidney transplantation: a mechanism design model. Manag Sci 52(11):16–47CrossRefGoogle Scholar
  75. Theil H (1967) Economics and information theory. North-Holland, AmsterdamGoogle Scholar
  76. Tomasini R, Van Wassenhove LN (2009) Humanitarian Logistics. Palgrave Macmillan, UKCrossRefGoogle Scholar
  77. Weisbrod BA (2000) To profit or not to profit: the commercial transformation of the nonprofit sector. Cambridge University Press, UKGoogle Scholar
  78. Williamson OE (1964) The economics of discretionary behavior: managerial objectives in a theory of the firm. Prentice-Hall Englewood Cliffs, NJGoogle Scholar
  79. Yadav P (2010) Improving public health in developing countries through operations research. Wiley Encyclopedia of Operations Research and Management ScienceGoogle Scholar
  80. Zenios SA, Chertow GM, Wein LM (2000) Dynamic allocation of kidneys to candidates on the transplant waiting list. Oper Res 48(4):549–569CrossRefGoogle Scholar
  81. Zobel CW, Khansa L (2014) Characterizing multi-event disaster resilience. Comput Oper Res 42:83–94CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Krannert School of ManagementPurdue UniversityWest LafayetteUSA

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