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We propose and study a planning problem we call Sequential Fault-Intolerant Process Planning (SFIPP). SFIPP captures a reward structure common in many sequential multi-stage decision problems where the planning is deemed successful only if…

人工智能 · 计算机科学 2025-02-10 Andrzej Kaczmarczyk , Davin Choo , Niclas Boehmer , Milind Tambe , Haifeng Xu

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

数据结构与算法 · 计算机科学 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

This thesis investigates the extent to which the optimal value of a constraint satisfaction problem (CSP) can be approximated by some sentence of fixed point logic with counting (FPC). It is known that, assuming $\mathsf{P} \neq…

计算机科学中的逻辑 · 计算机科学 2020-08-10 Jamie Tucker-Foltz

Assigning jobs onto identical machines with the objective to minimize the maximal load is one of the most basic problems in combinatorial optimization. Motivated by product planing and data placement, we study a natural extension called…

数据结构与算法 · 计算机科学 2019-09-27 Klaus Jansen , Alexandra Lassota , Marten Maack

The main contribution of this paper resides in providing novel algorithmic advances and analytical insights for the sequential hiring problem, a recently introduced dynamic optimization model where a firm adaptively fills a limited number…

数据结构与算法 · 计算机科学 2026-01-21 Danny Segev , Uri Stein

We consider a discrete facility location problem with a new form of equity criterion. The model discussed in the paper analyzes the case where demand points only have strict preference order on the sites where the plants can be located. The…

最优化与控制 · 数学 2008-06-20 Inmaculada Espejo , Alfredo Marin , Justo Puerto , Antonio Rodriguez-Chia

In the online non-metric variant of the facility location problem, there is a given graph consisting of a set $F$ of facilities (each with a certain opening cost), a set $C$ of potential clients, and weighted connections between them. The…

数据结构与算法 · 计算机科学 2021-01-12 Marcin Bienkowski , Björn Feldkord , Paweł Schmidt

We consider a generalization of the classical planar maximum coverage location problem (PMCLP) in which partial coverage is allowed, facilities have adjustable quality of service (QoS) or service range, and demand zones and service zone of…

最优化与控制 · 数学 2020-12-17 Manish Bansal , Parshin Shojaee

Computational advertising has been studied to design efficient marketing strategies that maximize the number of acquired customers. In an increased competitive market, however, a market leader (a leader) requires the acquisition of new…

计算机科学与博弈论 · 计算机科学 2019-06-18 Daisuke Hatano , Yuko Kuroki , Yasushi Kawase , Hanna Sumita , Naonori Kakimura , Ken-ichi Kawarabayashi

We study a truthful facility location problem where one out of $k\geq2$ available facilities must be built at a location chosen from a set of candidate ones in the interval $[0,1]$. This decision aims to accommodate a set of agents with…

计算机科学与博弈论 · 计算机科学 2025-05-07 Panagiotis Kanellopoulos , Alexandros A. Voudouris

The bilevel facility location problem (BO-FLP) is one of the core optimization problems behind the design of many decentralized industrial systems, e.g., supply chain systems where a supplier constructs some critical facilities and then…

最优化与控制 · 数学 2026-03-24 Haitao Hu , Jing Li , Jiafu Tang , Bo Zeng

We consider assortment and inventory planning problems with dynamic stockout-based substitution effects, and without replenishment, in two different settings: (1) Customers can see all available products when they arrive, a typical scenario…

最优化与控制 · 数学 2025-01-09 Shuo Sun , Rajan Udwani , Zuo-Jun Max Shen

In the capacitated $k$-median (\CKM) problem, we are given a set $F$ of facilities, each facility $i \in F$ with a capacity $u_i$, a set $C$ of clients, a metric $d$ over $F \cup C$ and an integer $k$. The goal is to open $k$ facilities in…

数据结构与算法 · 计算机科学 2015-07-14 Shi Li

We consider the dynamic resource allocation problem where the decision space is finite-dimensional, yet the solution must satisfy a large or even infinite number of constraints revealed via streaming data or oracle feedback. We model this…

机器学习 · 计算机科学 2026-03-18 Yiming Zong , Jiashuo Jiang

Strategic product placement can have a strong influence on customer purchase behavior in physical stores as well as online platforms. Motivated by this, we consider the problem of optimizing the placement of substitutable products in…

数据结构与算法 · 计算机科学 2025-10-06 Omar El Housni , Rajan Udwani

In typical applications of facility location problems, the location of demand is assumed to be an input to the problem. The demand may be fixed or dynamic, but ultimately outside the optimizers control. In contrast, there are settings,…

最优化与控制 · 数学 2022-11-24 Ali Kaan Kurbanzade , Julia Gaudio

Dynamic facility location problems aim at placing one or more valuable resources over a planning horizon to meet customer demand. Existing literature commonly assumes that customer demand quantities are defined independently for each time…

最优化与控制 · 数学 2025-09-29 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

Advances in computational optimization allow for the organization of large combinatorial markets. We aim for allocations and competitive equilibrium prices, i.e. outcomes that are in the core. The research is motivated by the design of…

计算机科学与博弈论 · 计算机科学 2018-07-24 Martin Bichler , Stefan Waldherr

In this focused technical paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem.…

数据结构与算法 · 计算机科学 2026-01-23 Danny Segev

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

计算机科学中的逻辑 · 计算机科学 2011-01-17 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz