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We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

Optimization and Control · Mathematics 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

Peer-to-peer communication has been recently considered as a popular issue for local area services. An innovative resource allocation scheme is proposed to improve the performance of mobile peer-to-peer, i.e., device-to-device (D2D),…

Computer Science and Game Theory · Computer Science 2016-11-17 Chen Xu , Lingyang Song , Zhu Han , Qun Zhao , Xiaoli Wang , Xiang Cheng , Bingli Jiao

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

Optimization and Control · Mathematics 2025-09-09 Dongnuan Tian , Rob Shone

We consider sequential search by an agent who cannot observe the quality of goods but can acquire information by buying signals from a profit-maximizing principal with limited commitment power. The principal can charge higher prices for…

Theoretical Economics · Economics 2024-08-13 Teddy Mekonnen , Zeky Murra-Anton , Bobak Pakzad-Hurson

The Joint Replenishment Problem (JRP) is a classical inventory management problem, that aims to model the trade-off between coordinating orders for multiple commodities (and their cost) with holding costs incurred by meeting demand in…

Data Structures and Algorithms · Computer Science 2026-02-13 David Shmoys , Varun Suriyanarayana , Seeun William Umboh

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

Optimization and Control · Mathematics 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

We consider some crucial problems related to the secure and reliable operation of power systems with high renewable penetrations: how much reserve should we procure, how should reserve resources distribute among different locations, and how…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun

We study a two-type server queueing system where flexible Type-I servers, upon their initial interaction with jobs, decide in real time whether to process them independently or in collaboration with dedicated Type-II servers. Independent…

Optimization and Control · Mathematics 2026-01-21 Shuwen Lu , Mark E. Lewis , Jamol Pender

According to the fundamental theorems of welfare economics, any competitive equilibrium is Pareto efficient. Unfortunately, competitive equilibrium prices only exist under strong assumptions such as perfectly divisible goods and convex…

Computer Science and Game Theory · Computer Science 2023-05-24 Mete Şeref Ahunbay , Martin Bichler , Johannes Knörr

Today's global supply chains face growing challenges due to rapidly changing market conditions, increased network complexity and inter-dependency, and dynamic uncertainties in supply, demand, and other factors. To combat these challenges,…

Optimization and Control · Mathematics 2025-02-18 Zhaoyang Larry Jin , Mehdi Maasoumy , Yimin Liu , Zeshi Zheng , Zizhuo Ren

The (R, s, S) is a stochastic inventory control policy widely used by practitioners. In an inventory system managed according to this policy, the inventory is reviewed at instant R; if the observed inventory position is lower than the…

Optimization and Control · Mathematics 2023-09-26 Andrea Visentin , Steven Prestwich , Roberto Rossi , S. Armagan Tarim

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

Supply chain disruptions and volatile demand pose significant challenges to the UK automotive industry, which relies heavily on Just-In-Time (JIT) manufacturing. While qualitative studies highlight the potential of integrating Artificial…

Machine Learning · Statistics 2025-11-11 Muhammad Shahnawaz , Adeel Safder

We study an online generalization of the classic Joint Replenishment Problem (JRP) that models the trade-off between ordering costs, holding costs, and backlog costs in supply chain planning systems. A retailer places orders to a supplier…

Data Structures and Algorithms · Computer Science 2024-10-25 Benjamin Moseley , Aidin Niaparast , R. Ravi

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

Optimization and Control · Mathematics 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

The problem of optimal allocation of monitoring resources for tracking transactions progressing through a distributed system, modeled as a queueing network, is considered. Two forms of monitoring information are considered, viz., locally…

Performance · Computer Science 2011-01-13 Animashree Anandkumar , Ting He , Chatschik Bisdikian , Dakshi Agrawal

Consider a system in which tasks of different execution times arrive continuously and have to be executed by a set of processors that are prone to crashes and restarts. In this paper we model and study the impact of parallelism and failures…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-11 Antonio Fernández Anta , Chryssis Georgiou , Dariusz R. Kowalski , Elli Zavou

The real-time joint optimization of inventory replenishment and vehicle routing is essential for cost-efficiently operating one-warehouse, multiple-retailer systems. This is complex, as future demand predictions should capture correlation…

Optimization and Control · Mathematics 2024-10-30 Menglei Jia , Albert H. Schrotenboer , Feng Chen

Transportation Network Companies employ dynamic pricing methods at periods of peak travel to incentivise driver participation and balance supply and demand for rides. Surge pricing multipliers are commonly used and are applied following…

Computational Complexity · Computer Science 2020-05-01 Renos Karamanis , Eleftherios Anastasiadis , Panagiotis Angeloudis , Marc Stettler

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

Optimization and Control · Mathematics 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov