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This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

The stochastic knapsack problem is the stochastic variant of the classical knapsack problem in which the algorithm designer is given a a knapsack with a given capacity and a collection of items where each item is associated with a profit…

Data Structures and Algorithms · Computer Science 2017-12-05 Anindya De

This paper introduces capital flow to the single item stochastic lot sizing problem. A retailer can leverage business overdraft to deal with unexpected capital shortage, but needs to pay interest if its available balance goes below zero. A…

Computational Engineering, Finance, and Science · Computer Science 2017-06-20 Zhen Chen , Roberto Rossi , Ren-qian Zhang

We propose a nonlinear optimization model for determining the optimum lot size and reorder point for a food item distributed through a cold warehouse as well as the optimum quality features, namely temperature, humidity, packaging type, and…

Optimization and Control · Mathematics 2024-01-19 Atena Karimi , Omid Ghorbani , Reza Tashakkori , Seyed Hamid Reza Pasandideh , Milad Jasemi

This study proposes a simulation framework of procurement operations in the container logistics industry that can support the development of dynamic procurement strategies. The idea is inspired by the success of Passenger Origin-Destination…

Applications · Statistics 2023-05-23 George Vassos , Klaus K. Holst , Pierre Pinson , Richard M. Lusby

This paper optimizes the configuration of large-scale data centers toward cost-effective, reliable and sustainable cloud supply chains. The problem involves placing incoming racks of servers within a data center to maximize demand coverage…

Optimization and Control · Mathematics 2026-01-19 Saumil Baxi , Kayla Cummings , Alexandre Jacquillat , Sean Lo , Rob McDonald , Konstantina Mellou , Ishai Menache , Marco Molinaro

In robotics, methods and softwares usually require optimizations of hyperparameters in order to be efficient for specific tasks, for instance industrial bin-picking from homogeneous heaps of different objects. We present a developmental…

Robotics · Computer Science 2020-07-31 Maxime Petit , Emmanuel Dellandrea , Liming Chen

With an increasing demand from emerging logistics businesses, Vehicle Routing Problem with Private fleet and common Carrier (VRPPC) has been introduced to manage package delivery services from a supplier to customers. However, almost all of…

Artificial Intelligence · Computer Science 2018-02-26 Suttinee Sawadsitang , Rakpong Kaewpuang , Siwei Jiang , Dusit Niyato , Ping Wang

Resource allocation is an essential aspect of successful Product Development (PD). In this paper, we formulate the dynamic resource allocation of the PD process as a convex optimization problem. Specially, we build and solve two variants of…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Chengyan Zhao , Masaki Ogura , Masako Kishida , Ali Yassine

We consider the problem of preparing for a disaster season by determining where to open warehouses and how much relief item inventory to preposition in each. Then, after each disaster, prepositioned items are distributed to demand nodes…

Optimization and Control · Mathematics 2022-07-04 Karmel S. Shehadeh , Emily L. Tucker

Resource allocation problems in many computer systems can be formulated as mathematical optimization problems. However, finding exact solutions to these problems using off-the-shelf solvers is often intractable for large problem sizes with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-25 Deepak Narayanan , Fiodar Kazhamiaka , Firas Abuzaid , Peter Kraft , Akshay Agrawal , Srikanth Kandula , Stephen Boyd , Matei Zaharia

We consider the Bin Packing problem with a partition matroid constraint. The input is a set of items of sizes in $(0,1]$, and a partition matroid over the items. The goal is to pack all items in a minimum number of unit-size bins, such that…

Data Structures and Algorithms · Computer Science 2023-05-16 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

Bayesian optimisation is a powerful tool to solve expensive black-box problems, but fails when the stationary assumption made on the objective function is strongly violated, which is the case in particular for ill-conditioned or…

Machine Learning · Statistics 2019-12-06 Victor Picheny , Sattar Vakili , Artem Artemev

Warehouses play a central role in industrial logistics, functioning as critical hubs for storing and organizing inventory to support efficient production. Optimizing item allocation within these facilities is essential for reducing…

The growing need for companies to reduce costs and maximize profits has led to an increased focus on logistics activities. Among these, inventory management plays a crucial role in minimizing organizational expenses by optimizing the…

Modeling and optimization of multi-echelon supply chain systems is challenging as it requires a holistic approach that exploits synergies and interactions between echelons while accurately accounting for variability observed by these…

Optimization and Control · Mathematics 2019-01-03 Anshul Agarwal

We propose stochastic optimization methodologies for a staffing and capacity planning problem arising from home care practice. Specifically, we consider the perspective of a home care agency that must decide the number of caregivers to hire…

Optimization and Control · Mathematics 2022-03-29 Ridong Wang , Karmel S. Shehadeh , Xiaolei Xie , Lefei Li

For effective integration of building operations into the evolving demand response programs of the power grid, real-time decisions concerning the use of building appliances for grid services must excel on multiple criteria, ranging from the…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Milan Jain , Soumya Kundu , Arnab Bhattacharya , Sen Huang , Vikas Chandan , Nikitha Radhakrishnan , Veronica Adetola , Draguna Vrabie

In this paper, we study pooling downstream beds across specialties in a stochastic operating room planning problem. The main sources of uncertainty are stochastic surgical durations and patients' lengths of stay. We developed a two-stage…

Optimization and Control · Mathematics 2026-02-18 Arian Andam , Hossein Hashemi Doulabi

Many combinatorial optimization problems such as the bin packing and multiple knapsack problems involve assigning a set of discrete objects to multiple containers. These problems can be used to model task and resource allocation problems in…

Artificial Intelligence · Computer Science 2011-10-12 A. S. Fukunaga , R. E. Korf