OPTIMIZATION PROBLEMS IN MASS TRANSPORTATION THEORY ...
OPTIMIZATION PROBLEMS IN MASS TRANSPORTATION THEORY ...
OPTIMIZATION PROBLEMS IN MASS TRANSPORTATION THEORY ...
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Problem 1 - Optimal NetworksWe consider the following model for the optimalplanning of an urban transportationnetwork (Buttazzo-Brancolini COCV 2005).• Ω the geographical region or urban areaa compact regular domain of R N• f + the density of residentsa probability measure on Ω• f − the density of working placesa probability measure on Ω• Σ the transportation networka closed connected 1-dimensionalsubset of Ω, the unknown.The goal is to introduce a cost functionalF (Σ) and to minimize it on a class of admissiblechoices.27