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We present novel algorithms for simulation optimization using random directions stochastic approximation (RDSA). These include first-order (gradient) as well as second-order (Newton) schemes. We incorporate both continuous-valued as well as…

Optimization and Control · Mathematics 2015-08-11 Prashanth L. A. , Shalabh Bhatnagar , Michael Fu , Steve Marcus

We consider the problem of designing a sequential decision making agent to maximize an unknown time-varying function which switches with time. At each step, the agent receives an observation of the function's value at a point decided by the…

Optimization and Control · Mathematics 2023-11-07 Durgesh Kalwar , Vineeth B. S

Constrained submodular maximization problems encompass a wide variety of applications, including personalized recommendation, team formation, and revenue maximization via viral marketing. The massive instances occurring in modern day…

Data Structures and Algorithms · Computer Science 2024-02-20 Georgios Amanatidis , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

In this paper, we consider the problem of choosing a minimum cost set of resources for executing a specified set of jobs. Each input job is an interval, determined by its start-time and end-time. Each resource is also an interval determined…

Data Structures and Algorithms · Computer Science 2012-10-11 Venkatesan Chakaravarthy , Arindam Pal , Sambuddha Roy , Yogish Sabharwal

Consider oriented graph nodes requiring periodic visits by a service agent. The agent moves among the nodes and receives a payoff for each completed service task, depending on the time elapsed since the previous visit to a node. We consider…

Computer Science and Game Theory · Computer Science 2023-05-19 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák

A central problem in business concerns the optimal allocation of limited resources to a set of available tasks, where the payoff of these tasks is inherently uncertain. In credit card fraud detection, for instance, a bank can only assign a…

Machine Learning · Computer Science 2022-02-10 Toon Vanderschueren , Bart Baesens , Tim Verdonck , Wouter Verbeke

We study reinforcement learning in stochastic path (SP) problems. The goal in these problems is to maximize the expected sum of rewards until the agent reaches a terminal state. We provide the first regret guarantees in this general problem…

Machine Learning · Computer Science 2022-10-18 Christoph Dann , Chen-Yu Wei , Julian Zimmert

Timing decisions are common: when to file your taxes, finish a referee report, or complete a task at work. We ask whether time preferences can be inferred when \textsl{only} task completion is observed. To answer this question, we analyze…

Theoretical Economics · Economics 2019-05-13 Paul Heidhues , Philipp Strack

This paper considers the problem of randomly assigning a set of objects to a set of agents based on the ordinal preferences of agents. We generalize the well-known immediate acceptance algorithm to the afore-mentioned random environments…

Theoretical Economics · Economics 2021-04-20 Yajing Chen , Patrick Harless , Zhenhua Jiao

We formulate and analyze a generic sequential resource access problem arising in a variety of engineering fields, where a user disposes a number of heterogeneous computing, communication, or storage resources, each characterized by the…

Networking and Internet Architecture · Computer Science 2020-12-08 Lin Chen , Anastasios Giovanidis , Wei Wang , Lin Shan

In this paper we study a single machine scheduling problem with the objective of minimizing the sum of completion times. Each of the given jobs is either short or long. However the processing times are initially hidden to the algorithm, but…

Data Structures and Algorithms · Computer Science 2021-05-06 Fanny Dufossé , Christoph Dürr , Noël Nadal , Denis Trystram , Óscar C. Vásquez

In the classical secretary problem, $n$ ranked items arrive one by one, and each item's rank relative to its predecessors is noted. The observer must select or reject each item as it arrives, with the object of selecting the item of highest…

Probability · Mathematics 2023-07-21 Ross G. Pinsky , Tomer Zilca

Suppose you are a fund manager with \$100 million to deploy and two years to invest it. A deal comes across your desk that looks appealing but costs \$50 million -- half of your available capital. Should you take it, or wait for something…

Portfolio Management · Quantitative Finance 2025-08-15 Kunal Menda , Raphael S Benarrosh

We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

We study the problem of scheduling periodic real-time tasks so as to meet their individual minimum reward requirements. A task generates jobs that can be given arbitrary service times before their deadlines. A task then obtains rewards…

Other Computer Science · Computer Science 2010-07-06 I-Hong Hou , P. R. Kumar

We investigate the scheduling of $n$ jobs divided into $c$ classes on $m$ identical parallel machines. For every class there is a setup time which is required whenever a machine switches from the processing of one class to another class.…

Data Structures and Algorithms · Computer Science 2019-05-02 Max A. Deppert , Klaus Jansen

Addressing a complex real-world optimization problem is a challenging task. The chance-constrained knapsack problem with correlated uniform weights plays an important role in the case where dependent stochastic components are considered. We…

Data Structures and Algorithms · Computer Science 2021-02-12 Yue Xie , Aneta Neumann , Frank Neumann , Andrew M. Sutton

We consider the problem of minimizing the total cost to run a sequence of $n$ tasks in the given order by $k$ agents under the positional cost model. The cost to run a task not only depends on the intrinsic cost of the task itself, but also…

Data Structures and Algorithms · Computer Science 2014-04-23 Bojun Huang

Many decision-making processes involve evaluating and then selecting items; examples include scientific peer review, job hiring, school admissions, and investment decisions. The eventual selection is performed by applying rules or…

Computer Science and Game Theory · Computer Science 2025-10-23 Alexander Goldberg , Giulia Fanti , Nihar B. Shah

Ranking and selection (R&S) aims to identify the alternative with the best mean performance among $k$ simulated alternatives. The practical value of R&S depends on accurate simulation input modeling, which often suffers from the curse of…

Machine Learning · Statistics 2025-09-09 Zaile Li , Yuchen Wan , L. Jeff Hong