The capacitated transshipment location problem with stochastic handling utilities at the facilities

The problem consists in finding a transshipment facilities location that maximizes the total net utility when the handling utilities at the facilities are stochastic variables, under supply, demand, and lower and upper capacity constraints. The total net utility is given by the expected total shippi...

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Veröffentlicht in:International transactions in operational research 2012-11, Vol.19 (6), p.789-807
Hauptverfasser: Tadei, Roberto, Perboli, Guido, Ricciardi, Nicoletta, Baldi, Mauro Maria
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creator Tadei, Roberto
Perboli, Guido
Ricciardi, Nicoletta
Baldi, Mauro Maria
description The problem consists in finding a transshipment facilities location that maximizes the total net utility when the handling utilities at the facilities are stochastic variables, under supply, demand, and lower and upper capacity constraints. The total net utility is given by the expected total shipping utility minus the total fixed cost of the located facilities. Shipping utilities are given by a deterministic utility for shipping freight from origins to destinations via transshipment facilities plus a stochastic handling utility at the facilities, whose probability distribution is unknown. After giving the stochastic model, by means of some results of the extreme values theory, the probability distribution of the maximum stochastic utilities is derived and the expected value of the optimum of the stochastic model is found. An efficient heuristics for solving real‐life instances is also given. Computational results show a very good performance of the proposed methods both in terms of accuracy and efficiency.
doi_str_mv 10.1111/j.1475-3995.2012.00847.x
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source Wiley; EBSCO Business Source Complete
subjects asymptotic approximation
facilities location
heuristics
Location analysis
Operations research
Probability distribution
Shipping
Stochastic models
stochastic utilities
Studies
title The capacitated transshipment location problem with stochastic handling utilities at the facilities
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