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For underground mine, the current usual technique for ore extraction is block caving, which generates and induces seismic activity in the mine. To understand block caving method is one of the most challenging problems in underground mining.…

This paper is concerned with the problem of finding the optimal of extraction policies of an oil field in light of various financial and economical restrictions and constraints. Taking into account the fact that the oil price in worldwide…

最优化与控制 · 数学 2016-11-07 Moustapha Pemy

In the classical facility location problem we consider a graph $G$ with fixed weights on the edges of $G$. The goal is then to find an optimal positioning for a set of facilities on the graph with respect to some objective function. We…

数据结构与算法 · 计算机科学 2014-06-10 Boaz Ben-Moshe , Michael Elkin , Lee-Ad Gottlieb , Eran Omri

Consider a network design application where we wish to lay down a minimum-cost spanning tree in a given graph; however, we only have stochastic information about the edge costs. To learn the precise cost of any edge, we have to conduct a…

数据结构与算法 · 计算机科学 2017-11-02 Sahil Singla

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

数据结构与算法 · 计算机科学 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

最优化与控制 · 数学 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another in the most efficient way possible by minimizing a specified…

统计理论 · 数学 2025-06-25 Sivaraman Balakrishnan , Tudor Manole , Larry Wasserman

Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

计算工程、金融与科学 · 计算机科学 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

最优化与控制 · 数学 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

计算几何 · 计算机科学 2017-03-10 Oren Salzman , Siddhartha Srinivasa

Finding optimal solutions for multi-unit combinatorial auctions is a hard problem and finding approximations to the optimal solution is also hard. We investigate the use of Branch-and-Bound techniques: they require both a way to bound from…

计算机科学与博弈论 · 计算机科学 2007-05-23 Rica Gonen , Daniel Lehmann

This paper considers a trajectory planning problem for a robot navigating complex terrains, which arises in applications ranging from autonomous mining vehicles to planetary rovers. The problem seeks to find a low-cost dynamically feasible…

机器人学 · 计算机科学 2024-07-04 Yilin Cai , Zhongqiang Ren

Algorithms which compute properties over graphs have always been of interest in computer science, with some of the fundamental algorithms, such as Dijkstra's algorithm, dating back to the 50s. Since the 70s there as been interest in…

数据结构与算法 · 计算机科学 2017-10-31 Daniel P. Martin

We study the use of amortized optimization to predict optimal transport (OT) maps from the input measures, which we call Meta OT. This helps repeatedly solve similar OT problems between different measures by leveraging the knowledge and…

机器学习 · 计算机科学 2023-06-06 Brandon Amos , Samuel Cohen , Giulia Luise , Ievgen Redko

A novel and powerful method is presented for the study of rare switching events in complex systems with multiscale energy landscapes. The method performs an umbrella sampling of the equilibrium distribution of the system in hyperplanes…

凝聚态物理 · 物理学 2007-05-23 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

The subpath planning problem is a branch of the path planning problem, which has widespread applications in automated manufacturing process as well as vehicle and robot navigation. This problem is to find the shortest path or tour subject…

机器人学 · 计算机科学 2016-03-22 Masoud Safilian , S. Mehdi Tashakkori , Sepehr Eghbali , Aliakbar Safilian

Strategic decisions to develop a mineral deposit are subject to geological uncertainty, due to the sparsity of drill core samples. The selection of metallurgical equipment is especially critical, since it restricts the processing options…

最优化与控制 · 数学 2017-04-24 Alessandro Navarra , Tassos Grammatikopoulos , Kristian Waters

This paper revisits the problem of predicting box locations in object detection architectures. Typically, each box proposal or box query aims to directly maximize the intersection-over-union score with the ground truth, followed by a…

计算机视觉与模式识别 · 计算机科学 2024-12-20 Aritra Bhowmik , Pascal Mettes , Martin R. Oswald , Cees G. M. Snoek

Obstacle clearance in state space is an important optimization objective in path planning because it can result in safe paths. This technical report presents admissible solution- and path-cost heuristics for this objective, which can be…

机器人学 · 计算机科学 2021-05-04 Marlin P. Strub , Jonathan D. Gammell

Tiering is an essential technique for building large-scale information retrieval systems. While the selection of documents for high priority tiers critically impacts the efficiency of tiering, past work focuses on optimizing it with respect…

信息检索 · 计算机科学 2020-05-19 Hyokun Yun , Michael Froh , Roshan Makhijani , Brian Luc , Alex Smola , Trishul Chilimbi