Environment and Planning A Economy and Space · 1971 · 74 citations · 7 references
ManagementIndustrial EngineeringOperations ManagementFacility LocationOperations PlanningOptimizationDynamic OptimizationLocation AnalysisLocation-allocation AnalysisLocation-allocation ModelsResource AllocationDynamic Assignment ProblemDynamic Program AnalysisLocation-allocationLocation-allocation Problems
The general location-allocation problem is defined. Then various generalizations of the problem are indicated. The dynamic extension of the location-allocation problem is shown to be of especial interest and significance. Two major approaches to the formulation and analysis of this dynamic problem are discussed. The first approach makes no attempt to anticipate future events and thus leads over the long-run to sub-optimal solutions. The second approach attempts fully to anticipate the future, and is formalized as a dynamic program. This second approach guarantees full optimality over the range of definition of the problem. Some numerical examples are presented.
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Harold Hotelling · The Economic Journal · 1929 · 6.8K citations
Leon N. Cooper · Operations Research · 1963 · 928 citations
Heuristic Methods for Location-Allocation Problems
Leon N. Cooper · SIAM Review · 1964 · 537 citations
Optimum Location in Spatial Competition
Arthur Smithies · Journal of Political Economy · 1941 · 458 citations
Some Notes on Duopoly and Spatial Competition
Alfred Lerner, Hermann Singer · Journal of Political Economy · 1937 · 283 citations