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Related papers: Cash-Flow Based Dynamic Inventory Management

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Dynamic max-min fair allocation (DMMF) is a simple and popular mechanism for the repeated allocation of a shared resource among competing agents: in each round, each agent can choose to request or not for the resource, which is then…

Computer Science and Game Theory · Computer Science 2025-01-28 Chido Onyeze , Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

In this paper, we study a dynamic on/off server scheduling problem in a queueing system with multi-class servers, where servers are heterogeneous and can be classified into $K$ groups. Servers in the same group are homogeneous. A scheduling…

Optimization and Control · Mathematics 2018-09-13 Li Xia , Zhe George Zhang , Quan-Lin Li , Peter W. Glynn

We consider an online resource allocation problem where multiple resources, each with an individual initial capacity, are available to serve random requests arriving sequentially over multiple discrete time periods. At each time period, one…

Optimization and Control · Mathematics 2020-12-21 Jiashuo Jiang , Jiawei Zhang

Firms should keep capital to offer sufficient protection against the risks they are facing. In the insurance context methods have been developed to determine the minimum capital level required, but less so in the context of firms with…

Risk Management · Quantitative Finance 2023-02-27 G. A. Delsing , M. R. H. Mandjes , P. J. C. Spreij , E. M. M. Winands

We study flow shop scheduling with stochastic reentry, where jobs must complete multiple passes through the entire shop, and the number of passes that a job requires for completion is drawn from a discrete probability distribution. The goal…

Data Structures and Algorithms · Computer Science 2026-04-21 Maximilian von Aspern , Felix Buld , Michael Pinedo

We study distributed load balancing in bipartite queueing systems where frontends route jobs to heterogeneous backends with workload-dependent service rates. The system's connectivity -- governed by compatibility constraints such as data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-25 Wenxin Zhang , Santiago R. Balseiro , Robert Kleinberg , Vahab Mirrokni , Balasubramanian Sivan , Bartek Wydrowski

In financial markets, liquidity is not constant over time but exhibits strong seasonal patterns. In this article we consider a limit order book model that allows for time-dependent, deterministic depth and resilience of the book and…

Trading and Market Microstructure · Quantitative Finance 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

This paper presents a new fast and robust algorithm that provides fuel-optimal impulsive control input sequences that drive a linear time-variant system to a desired state at a specified time. This algorithm is applicable to a broad class…

Optimization and Control · Mathematics 2020-10-06 Adam W. Koenig , Simone D'Amico

We study multi-product inventory control problems where a manager makes sequential replenishment decisions based on partial historical information in order to minimize its cumulative losses. Our motivation is to consider general demands,…

Optimization and Control · Mathematics 2026-02-27 Massil Hihat , Stéphane Gaïffas , Guillaume Garrigos , Simon Bussy

We consider Markovian many-server systems with admission control operating in a QED regime, where the relative utilization approaches unity while the number of servers grows large, providing natural Economies-of-Scale. In order to determine…

Probability · Mathematics 2014-11-12 Jaron Sanders , S. C. Borst , A. J. E. M. Janssen , J. S. H. van Leeuwaarden

We consider models of content delivery networks in which the servers are constrained by two main resources: memory and bandwidth. In such systems, the throughput crucially depends on how contents are replicated across servers and how the…

Performance · Computer Science 2018-01-10 Arpan Mukhopadhyay , Nidhi Hegde , Marc Lelarge

This paper considers optimal control problem of a large insurance company under a fixed insolvency probability. The company controls proportional reinsurance rate, dividend pay-outs and investing process to maximize the expected present…

Risk Management · Quantitative Finance 2010-06-01 Zongxia Liang , Jianping Huang

Motivated by applications from gig economy and online marketplaces, we study a two-sided queueing system under joint pricing and matching controls. The queueing system is modeled by a bipartite graph, where the vertices represent customer…

Optimization and Control · Mathematics 2025-03-12 Sushil Mahavir Varma , Pornpawee Bumpensanti , Siva Theja Maguluri , He Wang

$ $In many optimization problems, a feasible solution induces a multi-dimensional cost vector. For example, in load-balancing a schedule induces a load vector across the machines. In $k$-clustering, opening $k$ facilities induces an…

Data Structures and Algorithms · Computer Science 2018-11-14 Deeparnab Chakrabarty , Chaitanya Swamy

Fashion discounters face the problem of ordering the right amount of pieces in each size of a product. The product is ordered in pre-packs containing a certain size-mix of a product. For this so-called lot-type design problem, a stochastic…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Tobias Kreisel , Sascha Kurz , Jörg Rambau

We consider "time-of-use" pricing as a technique for matching supply and demand of temporal resources with the goal of maximizing social welfare. Relevant examples include energy, computing resources on a cloud computing platform, and…

Computer Science and Game Theory · Computer Science 2017-04-11 Shuchi Chawla , Nikhil R. Devanur , Alexander E. Holroyd , Anna Karlin , James Martin , Balasubramanian Sivan

We study market-consistent valuation of liability cash flows motivated by current regulatory frameworks for the insurance industry. Building on the theory on multiple-prior optimal stopping we propose a valuation functional with sound…

Pricing of Securities · Quantitative Finance 2021-09-02 Hampus Engsner , Filip Lindskog , Julie Thoegersen

We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the…

Optimization and Control · Mathematics 2011-12-07 Y. Dimitrakopoulos , A. Burnetas

We develop a dynamic multi-agent model of an interbank payment system where banks choose their level of available funds on the basis of private payoff maximisation. The model consists of the repetition of a simultaneous move stage game with…

Multiagent Systems · Computer Science 2007-05-23 Marco Galbiati , Kimmo Soramaki

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
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