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National carbon peak track and optimized provincial carbon allocations are crucial for mitigating regional inequality within the commercial building sector during China's transition to carbon neutrality. This study proposes a top-down model…

General Economics · Economics 2025-01-14 Yanqiao Deng , Minda Ma , Nan Zhou , Chenchen Zou , Zhili Ma , Ran Yan , Xin Ma

Even in the face of deteriorating and highly volatile demand, firms often invest in, rather than discard, aging technologies. In order to study this phenomenon, we model the firm's profit stream as a Brownian motion with negative drift. At…

Optimization and Control · Mathematics 2019-01-08 H. Dharma Kwon

Load shifting by commercial and industrial power consumers reduces costs and Scope 2 emissions for the consumer and the grid. Incentivizing this behavior requires tools for valuing flexibility amidst the heterogeneity in load…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Akshay K. Rao , Fletcher T. Chapin , Erin Musabandesu , Adhithyan Sakthivelu , Carson Tucker , Daly Wettermark , Meagan S. Mauter

Cost optimal scenarios derived from models of a highly renewable electricity system depend on the specific input data, cost assumptions and system constraints. Here this influence is studied using a techno-economic optimisation model for a…

Physics and Society · Physics 2018-08-21 David P. Schlachtberger , Tom Brown , Mirko Schäfer , Stefan Schramm , Martin Greiner

Wildfires and other extreme weather conditions due to climate change are stressing the aging electrical infrastructure. Power utilities have implemented public safety power shutoffs as a method to mitigate the risk of wildfire by…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Muhammad Waseem , Arash F. Soofi , Saeed D. Manshadi

In classical thermodynamics the work cost of control can typically be neglected. On the contrary, in quantum thermodynamics the cost of control constitutes a fundamental contribution to the total work cost. Here, focusing on quantum…

We study the optimal solution to a general two-slope ski rental problem with a tail risk, i.e., the chance of the competitive ratio exceeding a value $\gamma$ is bounded by $\delta$. This extends the recent study of tail bounds for ski…

Data Structures and Algorithms · Computer Science 2025-08-14 Qiming Cui , Michael Dinitz

This study proposes a systematic non-kinetic deterrence path modeling framework based on strategic rare earth supply cut-off, aiming to assess the strategic effects of China's export control policy against the United States at the military…

Physics and Society · Physics 2025-05-29 Wei Meng

We study linear policy approximations for the risk-conscious operation of an industrial energy system with uncertain wind power, significant and variable electricity demand, and high thermal output, as found in a modern foundry. The system…

Optimization and Control · Mathematics 2025-11-24 Johannes Nicklaus , Lea Brass , Gunnar Schubert

Global warming is often framed in broad planetary numbers such as the 1.5C and 2C warming thresholds, creating the false impression that individual corporations efforts to reduce emissions are meaningless in the absence of collective…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Daniel Baldassare , Abby Lute , Hikari Murayama , Cora Kingdon , Christopher Schwalm

We study auctions for carbon licenses, a policy tool used to control the social cost of pollution. Each identical license grants the right to produce a unit of pollution. Each buyer (i.e., firm that pollutes during the manufacturing…

Computer Science and Game Theory · Computer Science 2019-12-16 Kira Goldner , Nicole Immorlica , Brendan Lucier

We study the inbound supply mode and inventory management decision making for a company that sells an assortment of products. Stochastic demand for each product arrives periodically and unmet demand is backlogged. Each product has two…

Optimization and Control · Mathematics 2023-08-08 Melvin Drent , Poulad Moradi , Joachim Arts

We consider the homogenization of an optimal control problem in which the control is placed on a part of the boundary and the spatial domain contains a thin layer of "small particles", very close to the controlling boundary, and a Robin…

Analysis of PDEs · Mathematics 2022-01-03 J. I. Díaz , A. V. Podolskiy , T. A. Shaposhnikova

On the way towards carbon neutrality, climate stress testing provides estimates for the physical and transition risks that climate change poses to the economy and the financial system. Missing firm-level CO2 emissions data severely impedes…

General Finance · Quantitative Finance 2025-03-17 Zlata Tabachová , Christian Diem , Johannes Stangl , András Borsos , Stefan Thurner

How much free energy is irreversibly lost during a thermodynamic process? For deterministic protocols, lower bounds on energy dissipation arise from the thermodynamic friction associated with pushing a system out of equilibrium in finite…

Statistical Mechanics · Physics 2021-03-26 Samuel J. Bryant , Benjamin B. Machta

In this paper, we undertake an investigation into the utility maximization problem faced by an economic agent who possesses the option to switch jobs, within a scenario featuring the presence of a mandatory retirement date. The agent needs…

Optimization and Control · Mathematics 2023-09-25 Zhou Yang , Junkee Jeon

This paper investigates the role of a transmission system operator within a carbon footprint reduction strategy incorporating carbon taxes and renewable energy generation subsidies in the decentralised energy market. This is achieved via an…

Optimization and Control · Mathematics 2024-04-03 Nikita Belyak , Steven A. Gabriel , Nikolay Khabarov , Fabricio Oliveira

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

Statistical Mechanics · Physics 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

Deep decarbonization of the electricity sector can be provided by a high penetration of renewable sources such as wind, solar PV and hydro power. Flexibility from hydro and storage complements the high temporal variability of wind and…

Physics and Society · Physics 2019-02-18 Hailiang Liu , Tom Brown , Gorm Bruun Andresen , David P. Schlachtberger , Martin Greiner

This paper studies distributed optimal formation control with hard constraints on energy levels and termination time, in which the formation error is to be minimized jointly with the energy cost. The main contributions include a globally…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Chunxiang Jia , Fei Chen , Linying Xiang , Weiyao Lan , Gang Feng