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We consider a periodic double auction (PDA) setting where buyers of the auction have multiple (but finite) opportunities to procure multiple but fixed units of a commodity. The goal of each buyer participating in such auctions is to reduce…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Bharat Manvi , Easwar Subramanian

In this paper, we introduce an improved upper bound for the efficiency of Nash equilibria in utilitarian scheduling games on related machines. The machines have varying speeds and adhere to the Shortest Processing Time (SPT) policy as the…

Computer Science and Game Theory · Computer Science 2024-01-12 Andre Berger , Arman Rouhani , Marc Schröder

In this paper, we extend the discussion of the price of anarchy of machine scheduling games to a multi-stage machine setting. The multi-stage setting arises naturally in manufacturing pipelines and distributed computing workflows, when each…

Computer Science and Game Theory · Computer Science 2025-12-02 Ho-Lin Chen , Pin-Ju Huang

We study the complexity of central controller synthesis problems for finite-state Markov decision processes, where the objective is to optimize both the expected mean-payoff performance of the system and its stability. We argue that the…

Systems and Control · Computer Science 2013-05-20 Tomáš Brázdil , Krishnendu Chatterjee , Vojtěch Forejt , Antonín Kučera

We study the trade-off between the Price of Anarchy (PoA) and the Price of Stability (PoS) in mechanism design, in the prototypical problem of unrelated machine scheduling. We give bounds on the space of feasible mechanisms with respect to…

Computer Science and Game Theory · Computer Science 2021-02-25 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Philip Lazos

We study a variant of the single machine capacitated lot-sizing problem with sequence-dependent setup costs and product-dependent inventory costs. We are given a single machine and a set of products associated with a constant demand rate,…

Optimization and Control · Mathematics 2015-04-02 Michaël Gabay , Alexander Grigoriev , Vincent J. C. Kreuzen , Tim Oosterwijk

We address the problem of minimizing the long-run expected average cost of a complex system consisting of interactive subsystems. We formulate a multiobjective optimization problem of the one-stage expected costs of the subsystems and…

Optimization and Control · Mathematics 2016-09-28 Andreas A. Malikopoulos

A vector addition system with states (VASS) consists of a finite set of states and counters. A transition changes the current state to the next state, and every counter is either incremented, or decremented, or left unchanged. A state and…

Formal Languages and Automata Theory · Computer Science 2020-07-20 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

This paper deals with the long run average continuous control problem of piecewise deterministic Markov processes (PDMP's) taking values in a general Borel space and with compact action space depending on the state variable. The control…

Probability · Mathematics 2008-09-03 O. L. V. Costa , F. Dufour

This paper examines several measures of space complexity of variants of stack automata: non-erasing stack automata and checking stack automata. These measures capture the minimum stack size required to accept every word in the language of…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Jozef Jirásek , Ian McQuillan , Luca Prigioniero

We consider the problem of expected cost analysis over nondeterministic probabilistic programs, which aims at automated methods for analyzing the resource-usage of such programs. Previous approaches for this problem could only handle…

Programming Languages · Computer Science 2019-03-26 Peixin Wang , Hongfei Fu , Amir Kafshdar Goharshady , Krishnendu Chatterjee , Xudong Qin , Wenjun Shi

We present a novel two-level sketching extension of the Alternating Anderson-Picard (AAP) method for accelerating fixed-point iterations in challenging single- and multi-physics simulations governed by discretized partial differential…

Numerical Analysis · Mathematics 2026-05-20 Nicolás A. Barnafi , Massimiliano Lupo Pasini

We present an underapproximation for context-free languages by filtering out runs of the underlying pushdown automaton depending on how the stack height evolves over time. In particular, we assign to each run a number quantifying the…

Formal Languages and Automata Theory · Computer Science 2016-09-15 Pierre Ganty , Damir Valput

We address the verification problem of ordered multi-pushdown automata: A multi-stack extension of pushdown automata that comes with a constraint on stack transitions such that a pop can only be performed on the first non-empty stack.…

Logic in Computer Science · Computer Science 2015-07-01 Mohamed Faouzi Atig

Probabilistic automata constitute a versatile and elegant model for concurrent probabilistic systems. They are equipped with a compositional theory supporting abstraction, enabled by weak probabilistic bisimulation serving as the reference…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Andrea Turrini , Holger Hermanns

The principal component of conventional database query optimizers is a cost model that is used to estimate expected performance of query plans. The accuracy of the cost model has direct impact on the optimality of execution plans selected…

Databases · Computer Science 2024-09-26 Nikita Vasilenko , Alexander Demin , Denis Ponomaryov

This paper develops a novel, fully automated forecast averaging scheme, which combines LASSO estimation method with Principal Component Averaging (PCA). LASSO-PCA (LPCA) explores a pool of predictions based on a single model but calibrated…

Applications · Statistics 2024-04-09 Bartosz Uniejewski , Katarzyna Maciejowska

Sketch-and-solve (SAS) is a very successful method to efficiently estimate the solution of heavily overdetermined large linear least squares problems. It uses random sketching to reduce the size of the problem, hence reducing the…

Numerical Analysis · Mathematics 2026-05-26 Irina-Beatrice Haas , Michael B. Giles , Yuji Nakatsukasa

This paper is about reachability analysis in a restricted subclass of multi-pushdown automata. We assume that the control states of an automaton are partially ordered, and all transitions of an automaton go downwards with respect to the…

Logic in Computer Science · Computer Science 2015-07-01 Wojciech Czerwiński , Piotr Hofman , SŁawomir Lasota

The posterior in probabilistic programs with stochastic support decomposes as a weighted sum of the local posterior distributions associated with each possible program path. We show that making predictions with this full posterior…

Machine Learning · Computer Science 2024-04-15 Tim Reichelt , Luke Ong , Tom Rainforth
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