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Energy market designs with non-merchant storage have been proposed in recent years, with the aim of achieving optimal market integration of storage. In order to handle the time-linking constraints that are introduced in such markets,…

最优化与控制 · 数学 2024-09-10 Linde Frölke , Eléa Prat , Pierre Pinson , Richard M. Lusby , Jalal Kazempour

In this paper, we study the weighted $k$-server problem on the uniform metric in both the offline and online settings. We start with the offline setting. In contrast to the (unweighted) $k$-server problem which has a polynomial-time…

数据结构与算法 · 计算机科学 2023-07-25 Anupam Gupta , Amit Kumar , Debmalya Panigrahi

We introduce an extended mathematical programming framework for specifying equilibrium problems and their variational representations, such as generalized Nash equilibrium, multiple optimization problems with equilibrium constraints, and…

最优化与控制 · 数学 2018-06-07 Youngdae Kim , Michael C. Ferris

Assortment optimization concerns the problem of selling items with fixed prices to a buyer who will purchase at most one. Typically, retailers select a subset of items, corresponding to an "assortment" of brands to carry, and make each…

计算机科学与博弈论 · 计算机科学 2022-05-23 Will Ma

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

最优化与控制 · 数学 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

We study procurement games where each seller supplies multiple units of his item, with a cost per unit known only to him. The buyer can purchase any number of units from each seller, values different combinations of the items differently,…

计算机科学与博弈论 · 计算机科学 2014-09-29 Hau Chan , Jing Chen

Market making is a fundamental trading problem in which an agent provides liquidity by continually offering to buy and sell a security. The problem is challenging due to inventory risk, the risk of accumulating an unfavourable position and…

人工智能 · 计算机科学 2018-04-13 Thomas Spooner , John Fearnley , Rahul Savani , Andreas Koukorinis

We study approximation algorithms for graph pricing with vertex capacities yet without the traditional envy-free constraint. Specifically, we have a set of items $V$ and a set of customers $X$ where each customer $i \in X$ has a budget…

数据结构与算法 · 计算机科学 2019-12-12 Zachary Friggstad , Maryam Mahboub

We initiate the study of centralized algorithms for welfare-maximizing allocation of goods to buyers subject to average-value constraints. We show that this problem is NP-hard to approximate beyond a factor of $\frac{e}{e-1}$, and provide a…

数据结构与算法 · 计算机科学 2025-09-09 Kshipra Bhawalkar , Zhe Feng , Anupam Gupta , Aranyak Mehta , David Wajc , Di Wang

The Stockpile blending problem is an important component of mine production scheduling, where stockpiles are used to store and blend raw material. The goal of blending material from stockpiles is to create parcels of concentrate which…

神经与进化计算 · 计算机科学 2021-04-09 Yue Xie , Aneta Neumann , Frank Neumann

Inventory management is a fundamental challenge in supply chain management. The challenge is compounded when the associated products have unpredictable demands. This study proposes an innovative optimization approach combining…

最优化与控制 · 数学 2024-02-20 Sarit Maitra

We study the computational complexity of scheduling jobs on a single speed-scalable processor with the objective of capturing the trade-off between the (weighted) flow time and the energy consumption. This trade-off has been extensively…

数据结构与算法 · 计算机科学 2026-02-13 Antonios Antoniadis , Denise Graafsma , Ruben Hoeksma , Maria Vlasiou

Demand forecasting plays an important role in many inventory control problems. To mitigate the potential harms of model misspecification, various forms of distributionally robust optimization have been applied. Although many of these…

概率论 · 数学 2018-08-21 Linwei Xin , David A. Goldberg

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…

最优化与控制 · 数学 2016-06-06 Eugene A. Feinberg

We describe a novel decision-making problem developed in response to the demands of retail electronic commerce (e-commerce). While working with logistics and retail industry business collaborators, we found that the cost of delivery of…

We present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

最优化与控制 · 数学 2024-06-21 I. B. Wadhawan , M. M. Rizvi

We investigate pooling problems in which multiple players vie with one another to maximize individual profit in a non-cooperative competitive market. This competitive setting is interesting and worthy of study because the majority of…

最优化与控制 · 数学 2022-11-24 Dimitri J. Papageorgiou , Stuart M. Harwood , Francisco Trespalacios

In this paper we study the long-standing open question regarding the computational complexity of one of the core problems in supply chains management, the periodic joint replenishment problem. This problem has received a lot of attention…

计算复杂性 · 计算机科学 2015-11-10 Tamar Cohen , Liron Yedidsion

We study a robust extensible bin packing problem with budgeted uncertainty, under a budgeted uncertainty model where item sizes are defined to lie in the intersection of a box with a one-norm ball. We propose a scenario generation algorithm…

离散数学 · 计算机科学 2025-10-29 Noam Goldberg , Michael Poss , Yariv Marmor

We study here several variants of the covariates fine balance problem where we generalize some of these problems and introduce a number of others. We present here a comprehensive complexity study of the covariates problems providing…

数据结构与算法 · 计算机科学 2020-09-18 Dorit S. Hochbaum , Asaf Levin , Xu Rao
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