scholarly journals A tractable multi-leader multi-follower peak-load-pricing model with strategic interaction

2021 ◽  
Author(s):  
Veronika Grimm ◽  
Daniel Nowak ◽  
Lars Schewe ◽  
Martin Schmidt ◽  
Alexandra Schwartz ◽  
...  
Keyword(s):  
Nash Equilibria ◽  
Peak Load ◽  
Stationary Points ◽  
Mathematical Properties ◽  
Complete Set ◽  
Pure Strategies ◽  
Gas Market ◽  
Problem Instances ◽  
Number Of Firms

AbstractWhile single-level Nash equilibrium problems are quite well understood nowadays, less is known about multi-leader multi-follower games. However, these have important applications, e.g., in the analysis of electricity and gas markets, where often a limited number of firms interacts on various subsequent markets. In this paper, we consider a special class of two-level multi-leader multi-follower games that can be applied, e.g., to model strategic booking decisions in the European entry-exit gas market. For this nontrivial class of games, we develop a solution algorithm that is able to compute the complete set of Nash equilibria instead of just individual solutions or a bigger set of stationary points. Additionally, we prove that for this class of games, the solution set is finite and provide examples for instances without any Nash equilibria in pure strategies. We apply the algorithm to a case study in which we compute strategic booking and nomination decisions in a model of the European entry-exit gas market system. Finally, we use our algorithm to provide a publicly available test library for the considered class of multi-leader multi-follower games. This library contains problem instances with different economic and mathematical properties so that other researchers in the field can test and benchmark newly developed methods for this challenging class of problems.

scholarly journals Smart Meter Data Analysis of a Building Cluster for Heating Load Profile Quantification and Peak Load Shifting

Energies ◽  
2020 ◽  
Vol 13 (17) ◽  
pp. 4343
Author(s):  
Yunbo Yang ◽  
Rongling Li ◽  
Tao Huang
Keyword(s):  
Data Analysis ◽  
Peak Load ◽  
Smart Meter ◽  
Load Shifting ◽  
Load Profile ◽  
Transition Season ◽  
Morning Peak ◽  
Heating Load ◽  
Heating Loads

In recent years, many buildings have been fitted with smart meters, from which high-frequency energy data is available. However, extracting useful information efficiently has been imposed as a problem in utilizing these data. In this study, we analyzed district heating smart meter data from 61 buildings in Copenhagen, Denmark, focused on the peak load quantification in a building cluster and a case study on load shifting. The energy consumption data were clustered into three subsets concerning seasonal variation (winter, transition season, and summer), using the agglomerative hierarchical algorithm. The representative load profile obtained from clustering analysis were categorized by their profile features on the peak. The investigation of peak load shifting potentials was then conducted by quantifying peak load concerning their load profile types, which were indicated by the absolute peak power, the peak duration, and the sharpness of the peak. A numerical model was developed for a representative building, to determine peak shaving potentials. The model was calibrated and validated using the time-series measurements of two heating seasons. The heating load profiles of the buildings were classified into five types. The buildings with the hat shape peak type were in the majority during the winter and had the highest load shifting potential in the winter and transition season. The hat shape type’s peak load accounted for 10.7% of the total heating loads in winter, and the morning peak type accounted for 12.6% of total heating loads in the transition season. The case study simulation showed that the morning peak load was reduced by about 70%, by modulating the supply water temperature setpoints based on weather compensation curves. The methods and procedures used in this study can be applied in other cases, for the data analysis of a large number of buildings and the investigation of peak loads.

scholarly journals The diagrammatic coaction beyond one loop

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Samuel Abreu ◽  
Ruth Britto ◽  
Claude Duhr ◽  
Einan Gardi ◽  
James Matthew
Keyword(s):  
Differential Equations ◽  
Hypergeometric Functions ◽  
Differential Forms ◽  
Feynman Graph ◽  
Loop Order ◽  
Feynman Integrals ◽  
Mathematical Properties ◽  
Multiple Polylogarithms ◽  
Complete Set ◽  
General Tool

Abstract The diagrammatic coaction maps any given Feynman graph into pairs of graphs and cut graphs such that, conjecturally, when these graphs are replaced by the corresponding Feynman integrals one obtains a coaction on the respective functions. The coaction on the functions is constructed by pairing a basis of differential forms, corresponding to master integrals, with a basis of integration contours, corresponding to independent cut integrals. At one loop, a general diagrammatic coaction was established using dimensional regularisation, which may be realised in terms of a global coaction on hypergeometric functions, or equivalently, order by order in the ϵ expansion, via a local coaction on multiple polylogarithms. The present paper takes the first steps in generalising the diagrammatic coaction beyond one loop. We first establish general properties that govern the diagrammatic coaction at any loop order. We then focus on examples of two-loop topologies for which all integrals expand into polylogarithms. In each case we determine bases of master integrals and cuts in terms of hypergeometric functions, and then use the global coaction to establish the diagrammatic coaction of all master integrals in the topology. The diagrammatic coaction encodes the complete set of discontinuities of Feynman integrals, as well as the differential equations they satisfy, providing a general tool to understand their physical and mathematical properties.

Peak Load Forecasting Using Long-Short Term Memory : Case Study of Jawa-Madura-Bali System

2021 ◽  
Author(s):  
Anindita Satria Surya ◽  
Musa Partahi Marbun ◽  
K.G.H. Mangunkusumo ◽  
Muhammad Ridwan
Keyword(s):  
Short Term Memory ◽  
Peak Load ◽  
Load Forecasting ◽  
Short Term ◽  
Term Memory ◽  
Long Short Term Memory

scholarly journals Measurable Effects of Metropolitan Gas Purchasing Group in the Light of Gas Market Functioning in Poland

Resources ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 36
Author(s):  
Karolina Mucha-Kuś
Keyword(s):  
Market Structure ◽  
Business Models ◽  
Market Liberalization ◽  
Positive Effects ◽  
A Value ◽  
New Business ◽  
Gas Market ◽  
Purchasing Group ◽  
New Business Models

As a result of the gas market liberalization, new business models are emerging and one that brings positive effects to market players is purchasing group functioning. This paper adopts the approach of gas market review and provides a synthesis of its functioning in Poland. The review focuses first on the frameworks of the process of gas market liberalization. Next, the author presents gas market structure and lists and comments on its components. Then, the main characteristics of the market are discussed. The author presents a case study of the Metropolitan Gas Purchasing Group—the largest gas purchasing group in Poland with the volume reaching almost 225 GWh of purchased gas. As a result, the author highlights the effects of this coopetitive strategy which reached a value of PLN 3,000,000.

scholarly journals Paprika Schlesinger

2017 ◽  
Vol 9 (1) ◽  
pp. 66-91 ◽  
Author(s):  
Richard A. Hawkins
Keyword(s):  
Primary Sources ◽  
National Library ◽  
Content Type ◽  
Marketing History ◽  
History Of ◽  
Complete Set ◽  
State Library ◽  
The City ◽  
Project Partner

Purpose This paper explores the development of a luxury retail shoe brand in Belle Époque Vienna. Design/methodology/approach Footwear retailing and marketing history is a neglected area. Unfortunately, no business records have survived from Robert Schlesinger’s shoe stores. However, it has been possible to reconstruct the history of the development of the Paprika Schlesinger brand from its extensive advertising in the Viennese newspaper, the Neue Freie Presse, with the guidance of the founder’s grandson, Prof Robert A. Shaw, Emeritus Professor of Chemistry, Birkbeck, University of London, England. This case study would not have been possible without the digitization of some major collections of primary sources. In 2014, the European Union’s Europeana digitization initiative launched a new portal via the Library of Europe website which provides access to selected digitized historic newspaper collections in libraries across Europe. The project partners include the Austrian National Library which has digitized full runs of several major historic Austrian newspapers, including the Neue Freie Presse. Other project partners which have digitized historic newspapers which are relevant to this paper are the Landesbibliothek Dr Friedrich Teßmann of Italy’s Südtirol region, the National Library of France and the Berlin State Library. An associate project partner library, the Slovenian National and University Library’s Digital Library of Slovenia, has also digitized relevant historic newspapers. Furthermore, the City of Vienna has digitized a complete set of Vienna city directories as part of its Wienbibliothek Digital project. Findings This paper suggests that Robert Schlesinger created one of the first European luxury retail shoe brands. Originality/value This is the first academic study of the historical development of the advertising and marketing of a European luxury retail shoe brand.

scholarly journals Using game theory to assess multi-company strategies in watershed management

2016 ◽  
Vol 11 (3) ◽  
pp. 535
Author(s):  
Luke Ogilvie Thompson ◽  
Alexandre Bevilacqua Leoneti ◽  
René Bañares-Alcántara ◽  
Eduardo Cleto Pires
Keyword(s):  
Game Theory ◽  
Decision Making ◽  
Watershed Management ◽  
Nash Equilibria ◽  
Engineering Problem ◽  
Management Decision ◽  
Problem Case ◽  
Management Decision Making

The main objective of this work was to evaluate the use of game theory as a strategic tool for watershed management decision-making. An engineering problem case study was used in which three organizations compare various scenarios when deciding where to locate a polluting plant on a watershed. Six games were modeled to provide a variety of conditions that could feasibly be implemented and were simulated using software for finding Nash Equilibria solutions. The results show that game theory can provide key insights, such as the consideration of other players’ strategies, and identify possible pitfalls that may occur when the companies seek only to maximize their individual profitability.

Discussion on a New Calculation Method for Missing True Formation Thickness - A Case Study from YM32 Area in Northern Tarim Basin

2014 ◽  
Vol 678 ◽  
pp. 98-102
Author(s):  
Xian Ying Luo ◽  
Chuan Rui Dai ◽  
Xiao Fang Yan
Keyword(s):  
Tarim Basin ◽  
Calculation Method ◽  
Geological Conditions ◽  
Important Sense ◽  
Target Layer ◽  
Complete Set ◽  
Boundary Sets ◽  
Northern Tarim Basin ◽  
Direction Distance

The true formation thickness missed in the geologic borehole has important sense for understanding the strata of borehole and position of target layer. Nevertheless, there had not been enough effective technologies and calculation methods to calculate the missing true formation thickness at present. To solve this problem, this paper focuses on mathematical formula combining with the actual geological conditions, collects various useful geologic data and parameters, such as stratigraphic dip, dip direction, distance from drilling well to formation’s pinchout boundary along the dip direction and difference in height between drilling well and pinchout boundary, sets a reasonable calculation method, derives a complete set of new expression to calculate the missing true formation thicknesses. The typical region, YM32 Area in Tarim Basin, was taken as the case study to prove the accuracy and practicability of the calculation method. The result was inspected by the actual data of neighbor boreholes.

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