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We study an optimal-control problem of polling systems with large switchover times, when a holding cost is incurred on the queues. In particular, we consider a stochastic network with a single server that switches between several buffers…

Probability · Mathematics 2020-09-01 Yue Hu , Jing Dong , Ohad Perry

Efficient truck platooning is a key strategy for reducing freight costs, lowering fuel consumption, and mitigating emissions. Deadlines are critical in this context, as trucks must depart within specific time windows to meet delivery…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Thiago S. Gomides , Evangelos Kranakis , Ioannis Lambadaris , Yannis Viniotis , Gennady Shaikhet

In this paper we prove two results. First we show that dynamical systems with a $\phi$-mixing measure have in the limit Poisson distributed return times almost everywhere. We use the Chen-Stein method to also obtain rates of convergence.…

Dynamical Systems · Mathematics 2014-02-18 Nicolai T A Haydn , Yannis Psiloyenis

We study a dispatching and pricing problem in two-sided spatial queues with fixed supply, motivated by ride-hailing and robotaxi platforms. Idle drivers queue on one side, waiting to pick up riders, while riders queue on the other, waiting…

Optimization and Control · Mathematics 2026-03-17 Ang Xu , Chiwei Yan

A fractal mobile-immobile (MIM in short) solute transport model in porous media is set forth, and an inverse problem of determining the fractional orders by the additional measurements at one interior point is investigated by Laplace…

Numerical Analysis · Mathematics 2021-11-29 Gongsheng Li , Xianzheng Jia , Wenyi Liu , Zhiyuan Li

In pursuit of a more sustainable and cost-efficient last mile, parcel lockers have gained a firm foothold in the parcel delivery landscape. To fully exploit their potential and simultaneously ensure customer satisfaction, successful…

Artificial Intelligence · Computer Science 2024-09-13 Daniela Sailer , Robert Klein , Claudius Steinhardt

We consider a Lindley process with Laplace distributed space increments. We obtain closed form recursive expressions for the density function of the position of the process and for its first exit time distribution from the domain $[0,h]$.…

Probability · Mathematics 2023-10-19 Emanuele Lucrezia , Laura Sacerdote , Cristina Zucca

In this paper we investigate a problem associated with operating a robotic mobile fulfilment system (RMFS). This is the problem of allocating orders and mobile storage racks to pickers. We present a two-stage formulation of the problem. In…

Optimization and Control · Mathematics 2023-02-27 Cristiano Arbex Valle , John E Beasley

This paper considers the dispatching of large-scale real-time ride-sharing systems to address congestion issues faced by many cities. The goal is to serve all customers (service guarantees) with a small number of vehicles while minimizing…

Optimization and Control · Mathematics 2020-03-25 Connor Riley , Pascal Van Hentenryck , Enpeng Yuan

We study routing for on-demand last-mile logistics with two crucial novel features: i) Multiple depots, optimizing where to pick-up every order, ii) Allowing vehicles to perform depot returns prior to being empty, thus adapting their routes…

Multiagent Systems · Computer Science 2023-03-22 Maximilian Kronmueller , Andres Fielbaum , Javier Alonso-Mora

We study non-stationary single-item, periodic-review inventory control problems in which the demand distribution is unknown and may change over time. We analyze how demand non-stationarity affects learning performance across inventory…

Optimization and Control · Mathematics 2026-02-06 Nele H. Amiri , Sean R. Sinclair , Maximiliano Udenio

Random trajectories of single particles in living cells contain information about the interaction between particles, as well as, with the cellular environment. However, precise consideration of the underlying stochastic properties, beyond…

Biological Physics · Physics 2023-10-17 Aleksander A. Stanislavsky , Aleksander Weron

We study the motion of a one-dimensional particle which reverses its direction of acceleration stochastically. We focus on two contrasting scenarios, where the waiting-times between two consecutive acceleration reversals are drawn from (i)…

Statistical Mechanics · Physics 2023-08-22 Ion Santra , Durgesh Ajgaonkar , Urna Basu

Many real-world prediction tasks have outcome variables that have characteristic heavy-tail distributions. Examples include copies of books sold, auction prices of art pieces, demand for commodities in warehouses, etc. By learning…

Machine Learning · Computer Science 2023-10-13 Xindi Wang , Onur Varol , Tina Eliassi-Rad

We introduce a persistent random walk model for the stochastic transport of particles involving self-reinforcement and a rest state with Mittag-Leffler distributed residence times. The model involves a system of hyperbolic partial…

Statistical Mechanics · Physics 2021-11-16 Daniel Han , Dmitri V. Alexandrov , Anna Gavrilova , Sergei Fedotov

Robotic bin packing is widely deployed in warehouse automation, with current systems achieving robust performance through heuristic and learning-based strategies. These systems must balance compact placement with rapid execution, where…

Robotics · Computer Science 2026-03-10 Nikita Sarawgi , Omey M. Manyar , Fan Wang , Thinh H. Nguyen , Daniel Seita , Satyandra K. Gupta

We discuss a single-server multi-station alternating queue where the preparation times and the service times are auto- and cross-correlated. We examine two cases. In the first case, preparation and service times depend on a common discrete…

Probability · Mathematics 2014-04-23 Maria Vlasiou , Ivo J. B. F. Adan , Onno J. Boxma

Bin packing is an algorithmic problem that arises in diverse applications such as remnant inventory systems, shipping logistics, and appointment scheduling. In its simplest variant, a sequence of $T$ items (e.g., orders for raw material,…

Data Structures and Algorithms · Computer Science 2022-03-15 Varun Gupta , Ana Radovanovic

Different retail and e-commerce companies are facing the challenge of assembling large numbers of time-critical picking orders that include both small-line and multi-line orders. To reduce unproductive picker working time as in traditional…

Optimization and Control · Mathematics 2022-04-14 Lin Xie , Hanyi Li , Laurin Luttmann

We investigate a location-allocation-routing problem where trucks deliver goods from a central production facility to a set of warehouses with fixed locations and known demands. Due to limited capacities congestion occurs and results in…

Optimization and Control · Mathematics 2022-08-09 Vanessa Lange , Hans Daduna