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In this review paper, we describe the use of couplings in several different mathematical problems. We consider the total variation norm, maximal coupling, and the $\bar{d}$-distance. We present a detailed proof of a result recently proved:…

概率论 · 数学 2025-11-19 Artur O. Lopes

Polling systems have been widely studied, however most of these studies focus on polling systems with renewal processes for arrivals and random variables for service times. There is a need driven by practical applications to study polling…

性能 · 计算机科学 2020-08-04 Jin Xu , Natarajan Gautam

We consider an automatic overload control for two large service systems modeled as multi-server queues, such as call centers. We assume that the two systems are designed to operate independently, but want to help each other respond to…

概率论 · 数学 2014-07-30 Ohad Perry , Ward Whitt

In the context of evolving supply chain management, the significance of efficient inventory management has grown substantially for businesses. However, conventional manual and experience-based approaches often struggle to meet the…

人机交互 · 计算机科学 2025-08-01 Chunan Tong

Major players in e-commerce process dynamically incoming orders in real-time and already use advanced anticipation techniques, like AI, to predict characteristics of future orders. However, at the warehousing level, there are still no…

最优化与控制 · 数学 2024-10-21 Catherine Lorenz , Alena Otto , Michel Gendreau

In this paper, we explore the automation of services' compositions. We focus on the service selection problem. In the formulation that we consider, the problem's inputs are constituted by a behavioral composition whose abstract services…

分布式、并行与集群计算 · 计算机科学 2014-02-07 Yanik Ngoko , Christophe Cérin , Alfredo Goldman , Dejan Milojicic

Abstraction and realization are bilateral processes that are key in deriving intelligence and creativity. In many domains, the two processes are approached through rules: high-level principles that reveal invariances within similar yet…

机器学习 · 计算机科学 2018-03-13 Haizi Yu , Tianxi Li , Lav R. Varshney

The standard single picker routing problem (SPRP) seeks the cost-minimal tour to collect a set of given articles in a rectangular single-block warehouse with parallel picking aisles and a dedicated storage policy, i.e, each SKU is only…

数据结构与算法 · 计算机科学 2019-10-01 Dominik Goeke , Michael Schneider

Queueing-inventory systems are integrated systems consisting of two emerging fields in applied probability, namely "Queues" and "Inventory". In this paper, we present a comprehensive review of the theory and applications of…

概率论 · 数学 2023-09-20 Salini K , Arya P S , Manikandan Rangaswamy

This paper addresses the challenge of industrial bin picking using entangled wire harnesses. Wire harnesses are essential in manufacturing but poses challenges in automation due to their complex geometries and propensity for entanglement.…

机器人学 · 计算机科学 2023-06-27 Xinyi Zhang , Yukiyasu Domae , Weiwei Wan , Kensuke Harada

In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a uniform location. A single server cyclically travels over the circle to serve all…

概率论 · 数学 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

Traffic is essential for many dynamic processes on real networks, such as internet and urban traffic systems. The transport efficiency of the traffic system can be improved by taking full advantage of the resources in the system. In this…

适应与自组织系统 · 物理学 2015-06-04 J. -Q. Dong , Z. -G. Huang , Z. Zhou , L. Huang , Z. -X. Wu , Y. Do , Y. -H. Wang

We consider a polling system with two queues, exhaustive service, no switch-over times and exponential service times. The waiting cost depends on the position of the queue relative to the server: It costs a customer c per time unit to wait…

概率论 · 数学 2016-08-11 I. J. B. F. Adan , V. G. Kulkarni , N. Lee , A. A. J Lefeber

An integral equation based scheme is presented for the fast and accurate computation of effective conductivities of two-component checkerboard-like composites with complicated unit cells at very high contrast ratios. The scheme extends…

计算物理 · 物理学 2015-05-28 Johan Helsing

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

Order Picker Routing is a critical issue in Warehouse Operations Management. Due to the complexity of the problem and the need for quick solutions, suboptimal algorithms are frequently employed in practice. However, Reinforcement Learning…

机器学习 · 计算机科学 2024-02-07 George Dunn , Hadi Charkhgard , Ali Eshragh , Sasan Mahmoudinazlou , Elizabeth Stojanovski

Fully pairing all elements of a set while attempting to maximize the total benefit is a combinatorically difficult problem. Such pairing problems naturally appear in various situations in science, technology, economics, and other fields. In…

数据结构与算法 · 计算机科学 2023-01-25 Naoki Fujita , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Aohan Li , Mikio Hasegawa , Makoto Naruse

It is interesting and challenging to study double-ended queues with First-Come-First-Match discipline under customers' impatient behavior and non-Poisson inputs. The system stability can be guaranteed by the customers' impatient behavior,…

概率论 · 数学 2022-04-29 Heng-Li Liu , Quan-Lin Li , Yan-Xia Chang , Chi Zhang

Automation of logistic processes is essential to improve productivity and reduce costs. In this context, intelligent warehouses are becoming a key to logistic systems thanks to their ability of optimizing transportation tasks and,…

Autonomous robots operating in dynamic environments must maintain beliefs over a hypothesis space that is rich enough to represent the activities of interest at different scales. This is important both in order to accommodate the…

人工智能 · 计算机科学 2016-07-26 Majd Hawasly , Florian T. Pokorny , Subramanian Ramamoorthy