Published June 6, 2024, 12:59 p.m.
SEMINARIO 11-06-2024: "Equitable Routing of Capacitated Mobile Facilities"
Martedì 11 giugno 2024, ore 15:00, Aula Seminari DESF
Il Dipartimento di Economia, Statistica e Finanza "Giovanni Anania" è lieto di invitarvi al Seminario, promosso nell’ambito del progetto PRIN ULTRAOPTYMAL, sul tema:
“Equitable Routing of Capacitated Mobile Facilities”
Relatore: Prof. Jeffrey W. Ohlmann, University of Iowa, the US
Moderatrice: Prof.ssa Francesca Vocaturo, Unical
Data: Martedì 11 giugno 2024
Ora e Luogo: ore 15.00, Aula Seminari DESF, Piano Terra del Cubo 0/C
Abstract:
We consider the task of routing a fleet of mobile facilities to parking locations at prespecified points in time where they serve stochastic customer demand. Novel features of our problem include the consideration of nonreplenishable capacity and the equitable deployment of this capacity over the problem horizon. We present a multi-period mathematical formulation with an objective of maximizing the difference between expected demand served and the travel costs of the fleet. To ensure fairness, we employ equality constraints that balance the expected service level of a mobile facility across periods. We determine a priori solutions via a sample-based variable neighborhood search heuristic employing tabu search as its base local search mechanism on the discrete routing variables and gradient descent on the continuous capacity allocation variables. For a given set of sample scenarios, we obtain upper bounds for our instances by applying sample average approximation with an exact solver to a relaxed linearization of our formulation. Based on the patterns in solutions from the computational experiments, we make general observations on the structure of mobile facility routes.
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