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In this paper, we provide a mathematical optimization-based framework to determine the location of leak detection devices along a network. Assuming that the devices are endowed with a known coverage area, we analyze two different models.…

Optimization and Control · Mathematics 2023-07-14 Víctor Blanco , Miguel Martínez-Antón

We introduce a \emph{gain function} viewpoint of information leakage by proposing \emph{maximal $g$-leakage}, a rich class of operationally meaningful leakage measures that subsumes recently introduced leakage measures -- {maximal leakage}…

Information Theory · Computer Science 2023-12-08 Gowtham R. Kurri , Lalitha Sankar , Oliver Kosut

This tutorial describes recently developed general optimality conditions for Markov Decision Processes that have significant applications to inventory control. In particular, these conditions imply the validity of optimality equations and…

Optimization and Control · Mathematics 2016-06-06 Eugene A. Feinberg

We consider the canonical periodic review lost sales inventory system with positive lead-times and stochastic i.i.d. demand under the average cost criterion. We introduce a new policy that places orders such that the expected inventory…

Probability · Mathematics 2024-01-17 Willem van Jaarsveld , Joachim Arts

Working with a non-stationary stream of data requires for the analysis system to evolve its model (the parameters as well as the structure) over time. In particular, concept drifts can occur, which makes it necessary to forget knowledge…

Artificial Intelligence · Computer Science 2021-01-08 Clément Leroy , Eric Anquetil , Nathalie Girard

In this article we introduce the principles to detect leakage using a mathematical model based on machine learning and domestic water consumption monitoring in real time. The model uses data which is measured from a water meter, analyzes…

Computational Engineering, Finance, and Science · Computer Science 2017-07-26 Gal Oren , Nerya Y. Stroh

The construction of an efficient portfolio with a good level of return and minimal risk depends on selecting the optimal combination of stocks. This paper introduces a novel decision-making framework for stock selection based on fractional…

Statistics Theory · Mathematics 2025-07-04 Poulami Paul , Chanchal Kundu

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…

Probability · Mathematics 2023-09-20 Salini K , Arya P S , Manikandan Rangaswamy

Management of a portfolio that includes an illiquid asset is an important problem of modern mathematical finance. One of the ways to model illiquidity among others is to build an optimization problem and assume that one of the assets in a…

Mathematical Finance · Quantitative Finance 2020-09-28 Ljudmila A. Bordag , Ivan P. Yamshchikov

Long-term reservoir management often uses bounds on the reservoir level, between which the operator can work. However, these bounds are not always kept up-to-date with the latest knowledge about the reservoir drainage area, and thus become…

Optimization and Control · Mathematics 2018-01-29 Thibaut Cuvelier , Pierre Archambeau , Benjamin Dewals , Quentin Louveaux

We characterize profit-maximizing operating strategies, over some time horizon [0,T], for an energy store which is trading in an arbitrage market. Our theory allows for leakage, operating inefficiencies, operating constraints and general…

Optimization and Control · Mathematics 2014-12-03 Lisa Flatley , Robert S. MacKay , Michael Waterson

We study the problem of optimally managing an inventory with unknown demand trend. Our formulation leads to a stochastic control problem under partial observation, in which a Brownian motion with non-observable drift can be singularly…

Optimization and Control · Mathematics 2022-11-28 Salvatore Federico , Giorgio Ferrari , Neofytos Rodosthenous

A process tomography based optimization scheme for open quantum systems is used to determine the performance limits of Josephson charge qubits within current experimental means. The qubit is modeled microscopically as an open quantum system…

Superconductivity · Physics 2009-06-19 Robert Roloff , Walter Pötz

In the era of industry 4.0, procurement in supply chain management is the key to developing information management systems. It directly affects production planning failure. In this case, it is the process to prepare and confirming the…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Issarapong Khuankrue , Sudchai Boonto , Yasuhiro Tsujimura

In this paper we describe the construction of an efficient probabilistic parameterization that could be used in a coarse-resolution numerical model in which the variation of moisture is not properly resolved. An Eulerian model using a…

Atmospheric and Oceanic Physics · Physics 2018-10-30 Yue-Kin Tsang , Geoffrey K. Vallis

We consider a continuous-time model for inventory management with Markov modulated non-stationary demands. We introduce active learning by assuming that the state of the world is unobserved and must be inferred by the manager. We also…

Optimization and Control · Mathematics 2012-06-28 Erhan Bayraktar , Mike Ludkovski

Time series forecasting is critical in numerous real-world applications, requiring accurate predictions of future values based on observed patterns. While traditional forecasting techniques work well in in-domain scenarios with ample data,…

Machine Learning · Computer Science 2024-11-26 Liran Nochumsohn , Michal Moshkovitz , Orly Avner , Dotan Di Castro , Omri Azencot

This technical note rectified the mathematical and conceptual errors present in Liao et al. (2014). Liao et al. (2014) proposed an EOQ model under two-levels trade credit policy considering limited storage capacity whereby the supplier…

Optimization and Control · Mathematics 2019-10-17 Sunil Tiwari , Masih Fadaki , Anuj Kumar Sharma

We consider a framework for solving optimal liquidation problems in limit order books. In particular, order arrivals are modeled as a point process whose intensity depends on the liquidation price. We set up a stochastic control problem in…

Trading and Market Microstructure · Quantitative Finance 2012-01-30 Erhan Bayraktar , Michael Ludkovski

We consider a production-inventory control model with finite capacity and two different production rates, assuming that the cumulative process of customer demand is given by a compound Poisson process. It is possible at any time to switch…

Optimization and Control · Mathematics 2020-08-14 Pablo Azcue , Esther Frostig , Nora Muler