In this paper a general framework is discussed within which a municipal authority can assess future needs for certain public services within its area and can develop a programme for land purchase within a fixed budget. Concentration is on developing an optimising model, using mixed integer programming techniques, to identify available plots of land and to earmark them for specific land uses. A range of constraints is discussed, and a set of subsidies and penalties arising out of a solution method due to Balas, explained with reference to the local municipality of Coimbra in central Portugal, is presented.
Get full access to this article
View all access options for this article.
References
1.
AlcalyR EKlevorickA K, 1966, “A note on the dual prices of integer programs”Econometrica34206–214
2.
BalasE, 1970, “Duality in discrete programming” in Proceedings of the Symposium on Mathematical Programming, Princeton Ed. KuhnH W (Princeton University Press, Princeton, NJ) pp 179–197
3.
GomoryR EBaumolW J, 1960, “Integer programming and pricing”Econometrica28521–550
4.
TahaH A, 1975Integer Programming: Theory, Applications and Computations (Academic Press, New York)
5.
WerczbergerE, 1974, “A mixed-integer programming model for the integration of air-quality policy into land-use planning”Papers of the Regional Science Association33141–154
6.
WilliamsH P, 1979Model Building in Mathematical Programming (John Wiley, Chichester, Sussex)
