Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary

A model of a multi-reservoir resource exchange intermediary also defined as a commercial engine is proposed according to analogies and similarities between thermodynamics and economics. The optimal configuration of a multi-reservoir commercial engine with a maximum profit output objective is determi...

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Main Authors: Lingen Chen, Shaojun Xia
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/10/1451
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author Lingen Chen
Shaojun Xia
author_facet Lingen Chen
Shaojun Xia
author_sort Lingen Chen
collection DOAJ
description A model of a multi-reservoir resource exchange intermediary also defined as a commercial engine is proposed according to analogies and similarities between thermodynamics and economics. The optimal configuration of a multi-reservoir commercial engine with a maximum profit output objective is determined by applying optimal control theory. The optimal configuration consists of two instantaneous constant commodity flux processes and two constant price processes, and the configuration is independent of a number of economic subsystems and commodity transfer law qualitatively. The maximum profit output needs some economic subsystems to never contact with the commercial engine during commodity transfer processes. Numerical examples are provided for a three-economic-subsystem commercial engine with linear commodity transfer law. The effects of price changes of an intermediate economic subsystem on the optimal configuration of a three-economic-subsystem and the performance of optimal configuration are discussed. The research object is general, and the results can provide some theoretical guidelines for operations of actual economic processes and systems.
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spelling doaj.art-fc06e1dc28ee47a5a2d312c509930f112023-11-24T00:04:01ZengMDPI AGEntropy1099-43002022-10-012410145110.3390/e24101451Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange IntermediaryLingen Chen0Shaojun Xia1Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaSchool of Power Engineering, Naval University of Engineering, Wuhan 430033, ChinaA model of a multi-reservoir resource exchange intermediary also defined as a commercial engine is proposed according to analogies and similarities between thermodynamics and economics. The optimal configuration of a multi-reservoir commercial engine with a maximum profit output objective is determined by applying optimal control theory. The optimal configuration consists of two instantaneous constant commodity flux processes and two constant price processes, and the configuration is independent of a number of economic subsystems and commodity transfer law qualitatively. The maximum profit output needs some economic subsystems to never contact with the commercial engine during commodity transfer processes. Numerical examples are provided for a three-economic-subsystem commercial engine with linear commodity transfer law. The effects of price changes of an intermediate economic subsystem on the optimal configuration of a three-economic-subsystem and the performance of optimal configuration are discussed. The research object is general, and the results can provide some theoretical guidelines for operations of actual economic processes and systems.https://www.mdpi.com/1099-4300/24/10/1451multi-reservoir commercial enginemaximum profitoptimal controlfinite time thermodynamicsgeneralized thermodynamic optimization
spellingShingle Lingen Chen
Shaojun Xia
Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary
Entropy
multi-reservoir commercial engine
maximum profit
optimal control
finite time thermodynamics
generalized thermodynamic optimization
title Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary
title_full Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary
title_fullStr Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary
title_full_unstemmed Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary
title_short Maximum Profit Output Configuration of Multi-Reservoir Resource Exchange Intermediary
title_sort maximum profit output configuration of multi reservoir resource exchange intermediary
topic multi-reservoir commercial engine
maximum profit
optimal control
finite time thermodynamics
generalized thermodynamic optimization
url https://www.mdpi.com/1099-4300/24/10/1451
work_keys_str_mv AT lingenchen maximumprofitoutputconfigurationofmultireservoirresourceexchangeintermediary
AT shaojunxia maximumprofitoutputconfigurationofmultireservoirresourceexchangeintermediary