The formulation of integrated supply and demand models of transportation and location problems as bilevel programming problems is considered. The status of solution algorithms is summarized and the prospects for future research are examined.
BardJ F, 1983, “An algorithm for solving the general bilevel programming problem”Mathematics of Operations Research8260–272
3.
BardJ FFalkJ E, 1982, “An explicit solution to the multi-level programming problem”Computers and Operations Research977–100
4.
BoyceD EFarhiAWeischedelR, 1973, “Optimal network problem: A branch-and-bound algorithm”Environment and Planning A5519–533
5.
BoyceD EChonK SLeeY JLinK TLeBlancL J, 1983, “Implementation and computational issues for combined models of location, destination, mode, and route choice”Environment and Planning A151219–1230
6.
CandlerWTownsleyR, 1982, “A linear two-level programming problem”Computers and Operations Research959–76
7.
CruzJ BJr, 1978, “Leader-follower strategies for multilevel systems”IEEE Transactions on Automatic ControlAC-23244–255
8.
EvansS P, 1976, “Derivation and analysis of some models for combining trip distribution and assignment”Transportation Research1037–57
9.
Fortuny-AmatJMcCarlB, 1981, “A representation and economic interpretation of a two-level programming problem”Journal of the Operational Research Society32783–791
10.
FrieszT LVitonP ATobinR L, 1985, “Economic and computational aspects of freight networks and equilibrium models: A synthesis”Journal of Regional Science2529–49
11.
HallM A, 1978, “Properties of the equilibrium state in transportation networks”Transportation Science12208–216
12.
KolstadC D, 1985, “A review of the literature on bi-level mathematical programming” LA-10284-MS, Los Alamos National Laboratory, Los Alamos, NM
13.
LeBlancL J, 1975, “An algorithm for the discrete network design problem”Transportation Science9182–199
14.
LeBlancL JAbdulaalM, 1984, “A comparison of user-optimum versus system-optimum traffic assignment in transportation network design”Transportation Research18B115–121
15.
LeBlancL JBoyceD E, 1986, “A bilevel programming algorithm for exact solution of the network design problem with user-optimal flows”Transportation Research20B (forthcoming)
16.
LeeY J, 1985Methods for Implementing Network Equilibrium Models of Urban Location and Travel Choice PhD dissertation, Department of Civil Engineering, University of Illinois at Urbana-Champaign, Urbana, IL
17.
LosM, 1975Simultaneous Optimization of Land Use and Transportation in New Town Design PhD dissertation, Department of City and Regional Planning, University of Pennsylvania, Philadelphia, PA
