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We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

Optimization and Control · Mathematics 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

Many decision problems in economics, information technology, and industry can be transformed to an optimal stopping of adapted random vectors with some utility function over the set of Markov times with respect to filtration build by the…

Optimization and Control · Mathematics 2020-11-04 Krzysztof Szajowski

In this paper, we investigate dynamic optimization problems featuring both stochastic control and optimal stopping in a finite time horizon. The paper aims to develop new methodologies, which are significantly different from those of mixed…

Portfolio Management · Quantitative Finance 2014-06-27 Xiongfei Jian , Xun Li , Fahuai Yi

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

We consider a physical asset consisting of complex systems, where the systems may require upgrades during the lifetime of the asset. In practice, the asset owner and system supplier can make the upgrade decisions together, requiring a…

Optimization and Control · Mathematics 2023-02-08 Fiona Sloothaak , Alp Akçay , Matthieu van der Heijden , Geert-Jan van Houtum

In this paper, we study an investor's optimal entry and exit decisions in a liquid staking protocol (LSP) and an automated market maker (AMM), primarily from the standpoint of the investor. Our analysis focuses on two key investor actions:…

Mathematical Finance · Quantitative Finance 2025-12-10 Ruofei Ma , Zhebiao Cai , Wenpin Tang , David Yao

We employ a natural method from the perspective of the optimal stopping theory to analyze entry-exit decisions with implementation delay of a project, and provide closed expressions for optimal entry decision times, optimal exit decision…

Optimization and Control · Mathematics 2015-12-01 Yong-Chao Zhang

In this paper, we investigate the energy system design problems with the multi-generation technologies, i.e., simultaneous generation of multiple types of energy. We propose a long-term planning model which integrates macro-level strategic…

Optimization and Control · Mathematics 2017-12-07 Qiao-Chu He , Tao Hong

The need to decarbonize the energy system has intensified the focus on district heating networks in urban and suburban areas. Therefore, exploring transformation pathways with reasonable trade-offs between economic viability and…

Optimization and Control · Mathematics 2025-08-14 Stephanie Riedmüller , Fabian Rivetta , Janina Zittel

We present a numerical method to compute the optimal maintenance time for a complex dynamic system applied to an example of maintenance of a metallic structure subject to corrosion. An arbitrarily early intervention may be uselessly costly,…

Probability · Mathematics 2015-03-17 Benoîte de Saporta , François Dufour , Huilong Zhang , Charles Elegbede

With information revolution, increased globalization and competition, supply chain has become longer and more complicated than ever before. These developments bring supply chain management to the forefront of the managements attention.…

Neural and Evolutionary Computing · Computer Science 2010-02-11 S. Narmadha , Dr. V. Selladurai , G. Sathish

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

We consider a manufacturer who manages the end-of-life phase and takes one of the three actions at each period: (1) place an order, (2) use existing inventory, (3) stop holding inventory and use an outside/alternative source. Two examples…

Optimization and Control · Mathematics 2021-10-26 Emin Ozyoruk , Nesim K. Erkip , Çağın Ararat

The wellbeing of modern societies is dependent upon the functioning of their infrastructure networks. This paper introduces the 3C concept, an integrative multi-system and multi-stakeholder optimization approach for managing infrastructure…

Systems and Control · Electrical Eng. & Systems 2022-03-04 Omar Kammouh , Maria Nogal , Ruud Binnekamp , Rogier Wolfert

This paper analyzes the timing options embedded in a startup firm, and the associated market entry and exit timing decisions under the exogenous risks of early termination and competitor's entry. Our valuation approach leads to the…

Optimization and Control · Mathematics 2017-01-13 Tim Leung , Zongxi Li

We develop multi-stage linear decision rules (LDRs) for dynamic power system generation and energy storage investment planning under uncertainty and propose their chance-constrained optimization with performance guarantees. First, the…

Optimization and Control · Mathematics 2023-03-14 Vladimir Dvorkin , Dharik Mallapragada , Audun Botterud

The construction industry faces increasingly more significant pressure to reduce resource consumption, minimise waste, and enhance environmental performance. Towards the transition to a circular economy in the construction industry, one of…

Numerical Analysis · Mathematics 2025-04-11 Yiping Meng , Sergio Cavalaro , Frozan Dizaye Mohamed Osmani

This paper considers a multiple stopping time problem for a Markov chain observed in noise, where a decision maker chooses at most L stopping times to maximize a cumulative objective. We formulate the problem as a Partially Observed Markov…

Systems and Control · Computer Science 2017-12-05 Vikram Krishnamurthy , Anup Aprem , Sujay Bhatt

A decision-maker periodically acquires information about a changing state, controlling both the timing and content of updates. I characterize optimal policies using a decomposition of the dynamic problem into optimal stopping and static…

Theoretical Economics · Economics 2025-12-02 César Barilla

Evaluating the financial performance of manufacturing firms requires consideration of both the time value of money and the relative importance of multiple decision criteria. Conventional approaches relying solely on deterministic…

Theoretical Economics · Economics 2026-02-05 Duaa Abdullah , Marwa Abdullah
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