TY - JOUR

T1 - Locating new passenger facilities on a transportation network

AU - Mirchandani, Pitu B.

AU - Odoni, Amedeo R.

PY - 1979/6

Y1 - 1979/6

N2 - This paper examines the problem of locating additional passenger facilities on a transportation network to supplement ones that already exist. A distinction is made between "supporting" facilities which operate only in concert with already existing ones and "new" facilities which are self-sufficient and operate independently. It is shown that, when the objective is to maximize the utility of travel times to all users, at least one set of optimal locations for the new facilities exist on the nodes of the network if the utility function for travel times is convex. This result is proven under very general conditions including the assumption of a probabilistic transportation network, i.e. a network where travel times on network branches are random variables. A straightforward algorithm for solving a specific simple case is also provided and the results are illustrated by examples.

AB - This paper examines the problem of locating additional passenger facilities on a transportation network to supplement ones that already exist. A distinction is made between "supporting" facilities which operate only in concert with already existing ones and "new" facilities which are self-sufficient and operate independently. It is shown that, when the objective is to maximize the utility of travel times to all users, at least one set of optimal locations for the new facilities exist on the nodes of the network if the utility function for travel times is convex. This result is proven under very general conditions including the assumption of a probabilistic transportation network, i.e. a network where travel times on network branches are random variables. A straightforward algorithm for solving a specific simple case is also provided and the results are illustrated by examples.

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U2 - 10.1016/0191-2615(79)90029-8

DO - 10.1016/0191-2615(79)90029-8

M3 - Article

AN - SCOPUS:0018479319

VL - 13

SP - 113

EP - 122

JO - Transportation Research, Series B: Methodological

JF - Transportation Research, Series B: Methodological

SN - 0191-2615

IS - 2

ER -