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This paper considers the vehicle routing problem with stochastic demands (VRPSD) under optimal restocking. We develop an exact algorithm that is effective for solving instances with many vehicles and few customers per route. In our…

Optimization and Control · Mathematics 2018-06-25 Alexandre Florio , Richard Hartl , Stefan Minner

One powerful technique to solve NP-hard optimization problems in practice is branch-and-reduce search---which is branch-and-bound that intermixes branching with reductions to decrease the input size. While this technique is known to be very…

Data Structures and Algorithms · Computer Science 2018-10-26 Sebastian Lamm , Christian Schulz , Darren Strash , Robert Williger , Huashuo Zhang

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

Optimization and Control · Mathematics 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

This paper studies the online stochastic resource allocation problem (RAP) with chance constraints and conditional expectation constraints. The online RAP is an integer linear programming problem where resource consumption coefficients are…

Optimization and Control · Mathematics 2022-04-01 Yuwei Chen , Zengde Deng , Zaiyi Chen , Yinzhi Zhou , Yujie Chen , Haoyuan Hu

Inspired by the recent 11th Global Trajectory Optimisation Competition, this paper presents the asteroid routing problem (ARP) as a realistic benchmark of algorithms for expensive bound-constrained black-box optimization in permutation…

Optimization and Control · Mathematics 2022-04-20 Manuel López-Ibáñez , Francisco Chicano , Rodrigo Gil-Merino

Space-time adaptive processing (STAP) is one of the most effective approaches to suppressing ground clutters in airborne radar systems. It basically takes two forms, i.e., full-dimension STAP (FD-STAP) and reduced-dimension STAP (RD-STAP).…

Information Theory · Computer Science 2022-02-11 Di Song , Shengyao Chen , Feng Xi , Zhong Liu

This paper considers the robust phase retrieval problem, which can be cast as a nonsmooth and nonconvex optimization problem. We propose a new inexact proximal linear algorithm with the subproblem being solved inexactly. Our contributions…

Optimization and Control · Mathematics 2024-02-12 Zhong Zheng , Shiqian Ma , Lingzhou Xue

Resource allocation in wireless networks, such as device-to-device (D2D) communications, is usually formulated as mixed integer nonlinear programming (MINLP) problems, which are generally NP-hard and difficult to get the optimal solutions.…

Information Theory · Computer Science 2020-12-22 Mengyuan Lee , Guanding Yu , Geoffrey Ye Li

This PhD thesis summarizes research works on the design of exact algorithms that provide a worst-case (time or space) guarantee for NP-hard scheduling problems. Both theoretical and practical aspects are considered with three main results…

Computational Complexity · Computer Science 2017-12-07 Lei Shang

The submodular function maximization is an attractive optimization model that appears in many real applications. Although a variety of greedy algorithms quickly find good feasible solutions for many instances while guaranteeing…

Data Structures and Algorithms · Computer Science 2018-11-13 Naoya Uematsu , Shunji Umetani , Yoshinobu Kawahara

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

Data Structures and Algorithms · Computer Science 2021-07-06 Klaus Jansen , Malin Rau

Regenerating codes are efficient methods for distributed storage in storage networks, where node failures are common. They guarantee low cost data reconstruction and repair through accessing only a predefined number of arbitrarily chosen…

Information Theory · Computer Science 2017-11-09 Kaveh Mahdaviani , Ashish Khisti , Soheil Mohajer

We consider the airplane refueling problem, where we have a fleet of airplanes that can refuel each other. Each airplane is characterized by specific fuel tank volume and fuel consumption rate, and the goal is to find a drop out order of…

Data Structures and Algorithms · Computer Science 2019-10-09 Jianshu Li , Xiaoyin Hu , Junjie Luo , Jinchuan Cui

The optimal control input for linear systems can be solved from algebraic Riccati equation (ARE), from which it remains questionable to get the form of the exact solution. In engineering, the acceptable numerical solutions of ARE can be…

Systems and Control · Electrical Eng. & Systems 2022-01-07 Shengbo Wang , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

We analyze the bit complexity of efficient algorithms for fundamental optimization problems, such as linear regression, $p$-norm regression, and linear programming (LP). State-of-the-art algorithms are iterative, and in terms of the number…

Data Structures and Algorithms · Computer Science 2023-04-06 Mehrdad Ghadiri , Richard Peng , Santosh S. Vempala

A joint resource allocation (RA), user association (UA), and power control (PC) problem is addressed for proportional fairness maximization in a cooperative multiuser downlink small cell network with limited backhaul capacity, based on…

Networking and Internet Architecture · Computer Science 2018-08-14 Jonggyu Jang , Hyun Jong Yang , Hyekyung Jwa

This paper studies a multi-armed bandit (MAB) version of the range-searching problem. In its basic form, range searching considers as input a set of points (on the real line) and a collection of (real) intervals. Here, with each specified…

Machine Learning · Computer Science 2021-05-05 Siddharth Barman , Ramakrishnan Krishnamurthy , Saladi Rahul

This work presents an algorithmic scheme for solving the infinite-time constrained linear quadratic regulation problem. We employ an accelerated version of a popular proximal gradient scheme, commonly known as the Forward-Backward Splitting…

Optimization and Control · Mathematics 2015-01-20 Giorgos Stathopoulos , Milan Korda , Colin N. Jones

This paper investigates the optimization problem of scheduling autonomous mobile robots (AMRs) in hospital settings, considering dynamic requests with different priorities. The primary objective is to minimize the daily service cost by…

Optimization and Control · Mathematics 2023-11-28 Lulu Cheng , Ning Zhao , Mengge Yuan , Kan Wu

Exact-repair regenerating codes are considered for the case (n,k,d)=(4,3,3), for which a complete characterization of the rate region is provided. This characterization answers in the affirmative the open question whether there exists a…

Information Theory · Computer Science 2016-11-17 Chao Tian