Handbook of Regional Science pp 787-810 | Cite as

# Supply Chains and Transportation Networks

## Abstract

We overview some of the major advances in supply chains and transportation networks, with a focus on their common theoretical frameworks and underlying behavioral principles. We emphasize that the foundations of supply chains as network systems can be found in the regional science and spatial economics literature. In addition, transportation network concepts, models, and accompanying methodologies have enabled the advancement of supply chain network models from a system-wide and holistic perspective.

We discuss how the concepts of system optimization and user optimization have underpinned transportation network models and how they have evolved to enable the formulation of supply chain network problems operating (and managed) under centralized or decentralized, that is, competitive, decision-making behavior.

We highlighted some of the principal methodologies, including variational inequality theory, that have enabled the development of advanced transportation network equilibrium models as well as supply chain network equilibrium models.

## Keywords

Supply Chain Variational Inequality Supply Chain Network Network Equilibrium Variational Inequality Formulation## References

- Beckmann MJ, McGuire CB, Winsten CB (1956) Studies in the economics of transportation. Yale University Press, New HavenGoogle Scholar
- Boone T, Jayaraman V, Ganeshan R (2012) Sustainable supply chains: models, methods, and public policy implications. Springer, New YorkCrossRefGoogle Scholar
- Boyce DE, Mahmassani HS, Nagurney A (2005) A retrospective on Beckmann, McGuire, and Winsten’s studies in the economics of transportation. Pap Reg Sci 84:85–103CrossRefGoogle Scholar
- Braess D (1968) Uber ein paradoxon der verkehrsplanung. Unternehmenforschung 12:258–268Google Scholar
- Braess D, Nagurney A, Wakolbinger T (2005) On a paradox of traffic planning, translation of the original D. Braess paper from German to English. Transp Sci 39:446–450CrossRefGoogle Scholar
- Dafermos S (1980) Traffic equilibrium and variational inequalities. Transp Sci 14:42–54CrossRefGoogle Scholar
- Dafermos S (1982) The general multimodal network equilibrium problem with elastic demand. Networks 12:57–72CrossRefGoogle Scholar
- Dafermos SC, Sparrow FT (1969) The traffic assignment problem for a general network. J Res Nat Bur Stand 73B:91–118Google Scholar
- Handfield RB, Nichols EL Jr (1999) Introduction to supply chain management. Prentice-Hall, Englewood CliffsGoogle Scholar
- Isard W (1954) Location theory and trade theory: short-run analysis. Q J Econ 68:305–320CrossRefGoogle Scholar
- Kinderlehrer D, Stampacchia G (1980) An introduction to variational inequalities and their applications. Academic Press, New YorkGoogle Scholar
- Masoumi AH, Yu M, Nagurney A (2012) A supply chain generalized network oligopoly model for pharmaceuticals under brand differentiation and perishability. Transp Res E 48:762–780CrossRefGoogle Scholar
- Nagurney A (1999) Network economics: a variational inequality approach, second and revised edition. Kluwer, DordrechtCrossRefGoogle Scholar
- Nagurney A (2000) Sustainable transportation networks. Edward Elgar, CheltenhamGoogle Scholar
- Nagurney A (2006) Supply chain network economics: dynamics of prices, flows and profits. Edward Elgar, CheltenhamGoogle Scholar
- Nagurney A (2007) Mathematical models of transportation and networks. In: Zhang W-B (ed) Encyclopedia of life support systems (EOLSS), Mathematical models in economics. United Nations Educational, Scientific and Cultural Organization (UNESCO), ParisGoogle Scholar
- Nagurney A (2010) Optimal supply chain network design and redesign at minimal total cost and with demand satisfaction. Int J Prod Econ 128:200–208CrossRefGoogle Scholar
- Nagurney A, Dong J (2002) Supernetworks: decision-making for the Information Age. Edward Elgar, CheltenhamGoogle Scholar
- Nagurney A, Dong J, Zhang D (2002) A supply chain network equilibrium model. Transp Res E 38:281–303CrossRefGoogle Scholar
- Nagurney A, Qiang Q (2009) Fragile networks: identifying vulnerabilities and synergies in an uncertain world. Wiley, HobokenCrossRefGoogle Scholar
- Nagurney A, Zhang D (1996) Projected dynamical systems and variational inequalities with applications. Kluwer, NorwellCrossRefGoogle Scholar
- Nash JF (1951) Noncooperative games. Ann Math 54:286–298CrossRefGoogle Scholar
- Ohlin B (1933) Interregional and international trade. Harvard University Press, Cambridge, MAGoogle Scholar
- Patriksson M (1994) The traffic assignment problem. VSP, UtrechtGoogle Scholar
- Ran B, Boyce DE (1996) Modeling dynamic transportation networks, 2 revisedth edn. Springer, BerlinCrossRefGoogle Scholar
- Samuelson PA (1952) Spatial price equilibrium and linear programming. Am Econ Rev 42:283–303Google Scholar
- Sheffi Y (1985) Urban transportation networks. Prentice-Hall, Englewood CliffsGoogle Scholar
- Smith MJ (1979) Existence, uniqueness, and stability of traffic equilibria. Transp Res B 13:259–304CrossRefGoogle Scholar
- Takayama T, Judge GG (1971) Spatial and temporal price and allocation models. North–Holland, AmsterdamGoogle Scholar
- Wardrop JG (1952) Some theoretical aspects of road traffic research. Proc Inst Civil Eng 1(II):325–378Google Scholar
- Zhang D, Dong J, Nagurney A (2003) A supply chain network economy: modeling and qualitative analysis. In: Nagurney A (ed) Innovations in financial and economic networks. Edward Elgar, Cheltenham, pp 197–213Google Scholar