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E-commerce with major online retailers is changing the way people consume. The goal of increasing delivery speed while remaining cost-effective poses significant new challenges for supply chains as they race to satisfy the growing and…

The first passage statistics of a continuous time random walker with Poisson distributed jumps on one and two dimensional infinite lattices is investigated. An exact expression for the probability of first return to the origin in one…

统计力学 · 物理学 2022-06-13 Stephy Jose

Intermittent demand fluctuations pose significant challenges in disaster logistics and medical supply systems. In this study, we formulate cumulative demand as a generalized L\'evy process composed of a drift term, Poisson jumps, and…

概率论 · 数学 2026-03-04 Ryoya Koide

This paper investigates a two-echelon inventory system with a central warehouse and N (N > 2) retailers managed by a centralized information-sharing mechanism. In particular, the paper mathematically models an easy-to-implement inventory…

综合经济学 · 经济学 2023-12-08 Amir Hosein Afshar Sedigh , Rasoul Haji , Seyed Mehdi Sajadifar

We introduce discrete time Markov chains that preserve uniform measures on boxed plane partitions. Elementary Markov steps change the size of the box from (a x b x c) to ((a-1) x (b+1) x c) or ((a+1) x (b-1) x c). Algorithmic realization of…

组合数学 · 数学 2011-08-19 Alexei Borodin , Vadim Gorin

Optimizing storage assignment is a central problem in warehousing. Past literature has shown the superiority of the Duration-of-Stay (DoS) method in assigning pallets, but the methodology requires perfect prior knowledge of DoS for each…

机器学习 · 计算机科学 2020-02-04 Michael Lingzhi Li , Elliott Wolf , Daniel Wintz

This paper presents a reduced-order model for the Reynolds equation for deformable structure and large displacements. It is based on the model established in [11] which is piece-wise linearized using two different methods. The advantages…

其他计算机科学 · 计算机科学 2009-11-13 A. Missoffe , J. Juillard , Denis Aubry

In this article we study the problem of jointly deciding carsharing prices and vehicle relocations. We consider carsharing services operating in the context of multi-modal urban transportation systems. Pricing decisions take into account…

最优化与控制 · 数学 2022-03-23 Giovanni Pantuso

In this expository article, we highlight the direct connection between card shuffling and the functions known as $P$-partitions that come from algebraic combinatorics. While many (but not all) of the results we discuss are known, we give a…

组合数学 · 数学 2021-04-28 Jason Fulman , T. Kyle Petersen

Automating warehouse operations can reduce logistics overhead costs, ultimately driving down the final price for consumers, increasing the speed of delivery, and enhancing the resiliency to market fluctuations. This extended abstract…

机器人学 · 计算机科学 2023-10-10 Shuai Li , Azarakhsh Keipour , Kevin Jamieson , Nicolas Hudson , Sicong Zhao , Charles Swan , Kostas Bekris

Queueing systems with a single server in which customers wait to be served at a finite number of distinct locations (buffers/queues) are called discrete polling systems. Polling systems in which arrivals of users occur anywhere in a…

性能 · 计算机科学 2013-09-09 Veeraruna Kavitha , Richard Combes

We study optimal scheduling in multi-class queueing systems with reentrance, where jobs may return for additional service after completion. Such reentrance creates feedback loops that fundamentally alter congestion dynamics and challenge…

最优化与控制 · 数学 2025-09-16 Lin Franklin Feng , Yue Hu , Xu Kuang

In this paper we consider a single-server, cyclic polling system with switch-over times and Poisson arrivals. The service disciplines that are discussed, are exhaustive and gated service. The novel contribution of the present paper is that…

概率论 · 数学 2014-08-04 Marko Boon

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

应用统计 · 统计学 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

We examine the use of different randomisation policies for stochastic gradient algorithms used in sampling, based on first-order (or overdamped) Langevin dynamics, the most popular of which is known as Stochastic Gradient Langevin Dynamics.…

数值分析 · 数学 2025-12-16 Luke Shaw , Peter A. Whalley

The absolute moments of probability distributions are much more complicated than conventional ones. By using a direct and simpler approach, we retreat P. L. Hsu's (1951, J. Chinese Math. Soc., Vol. 1, pp. 257-280) formulas in terms of the…

概率论 · 数学 2019-01-01 Gwo Dong Lin , Chin-Yuan Hu

We derive a learning framework to generate routing/pickup policies for a fleet of autonomous vehicles tasked with servicing stochastically appearing requests on a city map. We focus on policies that 1) give rise to coordination amongst the…

多智能体系统 · 计算机科学 2023-07-07 Daniel Garces , Sushmita Bhattacharya , Stephanie Gil , Dimitri Bertsekas

We consider a distribution warehouse where both the inbound inventory replenishment and outbound dispatch decisions are subject to fixed (as well as per-unit) transportation charges and demand is stochastic. In order to realize scale…

最优化与控制 · 数学 2020-12-07 Bo Wei , Sila Cetinkaya , Daren B. H. Cline

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

In this paper we generalize known workload decomposition results for L\'{e}vy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or…

概率论 · 数学 2017-11-22 Onno Boxma , Offer Kella