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Control of systems of automated guided vehicles involves action planning at many levels. For efficient control of these systems, accurate estimation of cost parameters (speed, energy, task completion performance, \textit{et~cetera} is…

Robotics · Computer Science 2018-08-24 Pragna Das , Lluís Ribas Xirgo

A variety of boundary value problems in linear transport theory are expressed as a diffusion equation of the two-way, or forward-backward, type. In such problems boundary data are specified only on part of the boundary, which introduces…

Mathematical Physics · Physics 2019-02-18 Caleb G. Wagner , Richard Beals

We consider a multi-commodity Dynamic Traffic Assignment (DTA) problem formulated as a network flow control problem on the Cell Transmission Model (CTM). The objective is to design optimal control policies using variable speed limits, ramp…

Optimization and Control · Mathematics 2026-03-19 Davide Sipione , Giacomo Como , Gustav Nilsson

Transportation planning depends on predictions of the travel times between loading and unloading locations. While accurate techniques exist for making deterministic predictions of travel times based on real-world data, making stochastic…

Applications · Statistics 2018-08-22 Rodrigo Goncalves , Rui J. de Almeida , Remco M. Dijkman

Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

Optimization and Control · Mathematics 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

We investigate a real-life air cargo loading problem which is a variant of the three-dimensional Variable Size Bin Packing Problem with special bin forms of cuboid and non-cuboid unit load devices (ULDs). Packing is constrained by…

Optimization and Control · Mathematics 2024-10-03 Katrin Heßler , Timo Hintsch , Lukas Wienkamp

Mobility-on-Demand (MoD) systems have become a fixture in urban transportation networks, with the rapid growth of ride-hailing services such as Uber and Lyft. Ride-hailing is typically complemented with ridepooling options, which can reduce…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yang Liu , Qi Luo , Raga Gopalakrishnan , Samitha Samaranayake

Weak optimal transport generalizes the classical theory of optimal transportation to nonlinear cost functions and covers a range of problems that lie beyond the traditional theory - including entropic transport, martingale transport, and…

Probability · Mathematics 2025-07-16 Filip Pramenković

Hybrid energy storage systems that combine lithium-ion batteries and supercapacitors are considered as an attractive solution to overcome the drawbacks of battery-only energy storage systems, such as high cost, low power density, and short…

Systems and Control · Computer Science 2020-10-13 Huilong Yu , Francesco Castelli-Dezza , Federico Cheli , Xiaolin Tang , Xiaosong Hu , Xianke Lin

This paper presents a scalable solution with adjustable computation time for the joint problem of scheduling and assigning machines and transporters for missions that must be completed in a fixed order of operations across multiple stages.…

Robotics · Computer Science 2023-07-13 Koresh Khateri , Giovanni Beltrame

We examine the revenue maximizing loading for the single voyage of a cargo vessel where metacentric stability is taken into account. We formulate the problem as a maximization of a linear function with two linear and one quadratic…

Optimization and Control · Mathematics 2025-09-03 Evangelos F. Magirou

We study the Lagrangian formulation of a class of the Monge-Kantorovich optimal transportation problem. It can be considered a stochastic optimal transportation problem for absolutely continuous stochastic processes. A cost function and…

Optimization and Control · Mathematics 2023-01-02 Toshio Mikami , Haruka Yamamoto

We present a discretization of the dynamic optimal transport problem for which we can obtain the convergence rate for the value of the transport cost to its continuous value when the temporal and spatial stepsize vanish. This convergence…

Numerical Analysis · Mathematics 2025-01-30 Sadashige Ishida , Hugo Lavenant

Optimal mass transport is described by an approximation of transport cost via semi-discrete costs. The notions of optimal partition and optimal strong partition are given as well. We also suggest an algorithm for computation of Optimal…

Numerical Analysis · Mathematics 2015-02-17 Gershon Wolansky

Addressing the Integrated Timetabling and Vehicle Scheduling (TTVS) problem is important for improving transit operations. Recently, the emerging modular autonomous vehicles composed of modular autonomous units have made it possible to…

Optimization and Control · Mathematics 2026-02-09 Dongyang Xia , Jihui Ma , Shadi Sharif Azadeh

In this first paper of a series of two we are going to show that, on the ground of few reasonable hypotheses, an equation linking the number of vehicle N($\tau_i$), that run from (i-1)-th to the i-th hour, to the ground-level hourly average…

Physics and Society · Physics 2017-09-01 S. Nicolosi , P. Ferrante , G. Scaccianovce , G. Peri , GF Rizzo

The predict-then-optimize framework arises in a wide variety of applications where the unknown cost coefficients of an optimization problem are first predicted based on contextual features and then used to solve the problem. In this work,…

Optimization and Control · Mathematics 2023-05-02 Bo Tang , Elias B. Khalil

We consider a real-world cargo assembly planning problem arising in a coal supply chain. The cargoes are built on the stockyard at a port terminal from coal delivered by trains. Then the cargoes are loaded onto vessels. Only a limited…

Optimization and Control · Mathematics 2015-04-03 G. Belov , N. Boland , M. W. P. Savelsbergh , P. J. Stuckey

This paper shows that a well designed transport system has an embedded exchange value by serving as a market for potential exchange between consumers. Under suitable conditions, one can improve the welfare of consumers in the system simply…

Optimization and Control · Mathematics 2011-03-04 Qinglan Xia , Shaofeng Xu

Portfolio selection involves optimizing simultaneously financial goals such as risk, return and Sharpe ratio. This problem holds considerable importance in economics. However, little has been studied related to the nonconvexity of the…

Optimization and Control · Mathematics 2023-05-02 Vuong D. Nguyen , Nguyen Kim Duyen , Nguyen Minh Hai , Bui Khuong Duy