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相关论文: A Counterintuitive Example in Inventory Management

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This paper considers time-inconsistent problems when control and stopping strategies are required to be made simultaneously (called stopping control problems by us). We first formulate the timeinconsistent stopping control problems under…

最优化与控制 · 数学 2023-06-21 Zongxia Liang , Fengyi Yuan

Finding the optimal policy for multi-period perishable inventory systems requires solving computationally-expensive stochastic dynamic programs (DP). To avoid the difficulty of solving DP models, we propose a framework that uses an…

We study the non-uniform capacitated multi-item lot-sizing (\lotsizing) problem. In this problem, there is a set of demands over a planning horizon of $T$ time periods and all demands must be satisfied on time. We can place an order at the…

数据结构与算法 · 计算机科学 2016-10-10 Shi Li

Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou

In healthcare, there is much interest in estimating policies, or mappings from covariates to treatment decisions. Recently, there is also interest in constraining these estimated policies to the standard of care, which generated the…

统计方法学 · 统计学 2026-02-17 Samuel J. Weisenthal , Sally W. Thurston , Ashkan Ertefaie

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

统计理论 · 数学 2019-09-04 Toby Kenney

We consider the problem of forecasting the aggregate demand of a pool of price-responsive consumers of electricity. The price-response of the aggregation is modeled by an optimization problem that is characterized by a set of marginal…

最优化与控制 · 数学 2016-07-26 Javier Saez-Gallego , Juan M. Morales

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a…

理论经济学 · 经济学 2021-02-16 David McCarthy , Kalle Mikkola , Teruji Thomas

A central problem in the study of resource theories is to find functions that are nonincreasing under resource conversions - termed monotones - in order to quantify resourcefulness. Various constructions of monotones appear in many…

量子物理 · 物理学 2024-08-07 Tomáš Gonda , Robert W. Spekkens

In compact settings, the convergence rate of the empirical optimal transport cost to its population value is well understood for a wide class of spaces and cost functions. In unbounded settings, however, hitherto available results require…

统计理论 · 数学 2024-07-24 Thomas Staudt , Shayan Hundrieser

Uncertainty in demand and supply conditions poses critical challenges to effective inventory management, especially in collaborative environments. Traditional inventory models, such as those based on the Economic Order Quantity (EOQ), often…

最优化与控制 · 数学 2025-07-30 J. C. Gonçalves-Dosantos , A. Meca , I. Ozcan

This paper studies an open question in the warehouse problem where a merchant trading a commodity tries to find an optimal inventory-trading policy to decide on purchase and sale quantities during a fixed time horizon in order to maximize…

数据结构与算法 · 计算机科学 2023-02-24 Ishan Bansal , Oktay Günlük

We consider a discrete-time bipartite matching model with random arrivals of units of supply and demand that can wait in queues located at the nodes in the network. A control policy determines which are matched at each time. The focus is on…

离散数学 · 计算机科学 2016-06-28 Ana Bušić , Sean Meyn

It is shown that the axioms for coherent risk measures imply that whenever there is an asset in a portfolio that dominates the others in a given sample (which happens with finite probability even for large samples), then this portfolio…

风险管理 · 定量金融 2009-09-29 Imre Kondor , Istvan Varga-Haszonits

We consider the single-item single-stocking location stochastic inventory system under a fixed ordering cost component. A long-standing problem is that of determining the structure of the optimal control policy when this system is subject…

最优化与控制 · 数学 2023-09-26 Roberto Rossi , Zhen Chen , S. Armagan Tarim

In this comment we discuss the problem of reconciling the linear efficiency of price returns with the long-memory of supply and demand. We present new evidence that shows that efficiency is maintained by a liquidity imbalance that co-moves…

物理与社会 · 物理学 2008-12-02 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Szabolcs Mike

This paper investigates a stochastic inventory management problem in which a cash-constrained small retailer periodically purchases a product from suppliers and sells it to a market while facing non-stationary demands. In each period, the…

最优化与控制 · 数学 2021-08-13 Zhen Chen , Roberto Rossi

Conformal prediction, which makes no distributional assumptions about the data, has emerged as a powerful and reliable approach to uncertainty quantification in practical applications. The nonconformity measure used in conformal prediction…

机器学习 · 计算机科学 2024-10-15 Yuko Kato , David M. J. Tax , Marco Loog

We address functional uncertainty quantification for ill-posed inverse problems where it is possible to evaluate a possibly rank-deficient forward model, the observation noise distribution is known, and there are known parameter…

统计方法学 · 统计学 2025-02-06 Michael Stanley , Pau Batlle , Pratik Patil , Houman Owhadi , Mikael Kuusela

Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version. These entropies are particularly suitable to deal with…

概率论 · 数学 2021-06-30 Antonio Di Crescenzo , Suchandan Kayal , Alessandra Meoli