Research Papers
Permanent URI for this collectionhttps://gmitlibrary.net/handle/123456789/183
Browse
6 results
Search Results
Item ON GAP FUNCTIONS FOR QUASI-EQUILIBRIUM PROBLEMS VIA DUALITY(Springer Nature, 2024-03-06) Lkhamsuren AltangerelWe extend gap functions to quasi-equilibrium problems by using the duality results. In particular, we obtain new results for quasi-equilibrium problems known earlier for equilibrium problems and mixed quasi-variational inequalities. Bibliography: 12 titles.Item Gap functions for quasi-variational inequalities via duality(Springer Nature, 2018-01-10) Altangerel, L.This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim. 2(3): 667-678, 2006; Asia-Pac. J. Oper. Res. 24(3): 353-371, 2007), and the study shows that we can obtain some previous results for variational inequalities as special cases. Moreover, some applications dealing with the generalized Nash equilibrium problems and mixed variational inequalities are presented.Item Dividends and Compound Poisson-processes: A new Stochastic Stock Price Model(World Scientific, 2022-05-30) Battulga Gankhuu, Jacob Kleinow, Altangerel Lkhamsuren, Andreas HorschThis study introduces a stochastic multi-period dividend discount model (DDM) that includes (i) a compound nonhomogenous Poisson process for dividend growth and (ii) the probability of firm default. We obtain maximum likelihood (ML) estimators and confidence interval formulas of our model parameters. We apply the model to a set of firms from the S&P 500 index using historical dividend and price data over a 42-year period. Interestingly, stock price estimations calculated with the model are close to the observable prices. Overall, we prove that the model can be a useful tool for stock pricing.Item An Exact Penalty Approach and Conjugate Duality for Generalized Nash Equilibrium Problems with Coupling and Shared Constraints(Иркутского государственного университета, 2020-09-11) Altangerel, L. & Battur, G.Generalized Nash Equilibrium Problems (GNEP) have been attracted by many researchers in the field of game theory, operational research, engineering, economics as well as telecommunication in recent two decades. One of the most important classes of GNEP is a convex GNEP with jointly convex or shared constraints which has been studied extensively. It is considered to be one of the most challenging classes of problems in the field. Moreover, there is a gap in the studies on the GNEP with coupling and shared constraints. The aim of this paper is to investigate the relationship between an exact penalty approach and conjugate duality in convex optimization for the GNEP with coupling and shared constraints. In association with necessary optimality conditions, we obtained the parameterized variational inequality problems. This problem has provided an opportunity to solve many other GNEs. Some numerical results are also presented.Item Collaborative GIS for sustainable waste management: the case of Ulaanbaatar in 3R4UB(Federico II University Press fedOA Press, 2025-01-01) Francesco Stefano Sammarco, Gaia Daldanise, Fabio Maria Esposito, Gantuya Ganbat, Gabriella Esposito De Vita, Marina RigilloThe paper is included in the international project “The 3Rs for a sustainable use of natural resources in Ulaanbaatar - 3R4UB”, which develops an innovative method to enhance collaboration between citizens and public authorities in sustainable waste management. Ulaanbaatar (UB), the capital of Mongolia, faces serious challenges due to rapid urbanisation and fragmented planning that lacks tools to integrate social, environmental, and infrastructural dynamics. The city is divided into three areas: the planned city (Soviet legacy), the spontaneous city (the informal settlements of the “gher”), and the city in transition (between planned and spontaneous city). The research proposes the “Ulaanbaatar Spatial Sustainable Waste Management” (UBSWM) approach, which includes spatialising data and information based on GIS tools. The combination of quantitative data (e.g., the number of infrastructures and waste streams) and qualitative data (photographic reportage and awareness-raising strategies in schools) facilitated a multi-scalar narrative of urban dynamics, enhancing the cultural diversity of UB. The results obtained, including an open-access platform on ArcGIS StoryMaps, offer a replicable model to address the challenges of sustainable waste management in similar urban contexts, promoting collaborative planning of more sustainable and equitable public spaces. The study is guided by the research question: How can a spatial and collaborative GIS-based approach support circular and sustainable waste management in transitional urban contexts such as Ulaanbaatar?Item Managing automotive end-of-life NiMH and Li-ion batteries in Mongolia: a Material Flow Analysis to assess challenges and opportunities for circular batteries in the Global South(Frontiers Media S.A., 2026-02-12)Introduction: Mongolia’s transition to electric mobility presents environmental opportunities to mitigate air pollution and potentially reduce greenhouse gas emissions but also generates complex waste streams such as end-of-life (EoL) Nickel Metal Hydride (NiMH) and Lithium-Ion Batteries (LIB). This study investigates the status of Mongolia’s waste management system and how it can be optimized to enhance the circularity of such waste streams. Methods: Original data was collected through field research at collection, repair, storage, and disposal sites, and complemented by stakeholder interviews and an analysis of the country’s waste management legislation. Official vehicle fleet statistics (2010–2023) were used to forecast the quantity of EoL NiMH and LIB until 2050 and conduct a Material Flow Analysis for 10 different scenarios. The dataset comprises both qualitative data, describing the current waste management scenario, and quantitative data on vehicle imports, fleet composition, and battery specifications, with assumptions for missing values based on market trends.Results: Results reveal that Mongolia lacks infrastructure and policy for safe and sustainable EoL battery management. EoL battery outflows were estimated using a two-parameter Weibull distribution model; forecast reliability was assessed via out-of-sample backcasting of the vehicle-fleet projection against historical fleet statistics (2019–2023 hold-out: MAPE = 4.71%). The results of the EoL battery quantities are scenario- and parameter-dependent projections for the lifetime and battery-specification assumptions. The results show that cumulatively (from 2023 to 2050), in the Current Scenario, 10,302 tons of EoL NiMH and 38,650 tons of EoL LIB are expected to be generated. In contrast, for the Climate Focus Scenario, 10,455 tons of EoL NiMH and 102,586 tons of EoL LIB are expected. Discussion: The lower values of NiMH in 2050 are due to the expected transition from NiMH to LIB in HEV. Recommendations to enhance EoL battery management’s circularity include focusing on improving EoL battery collection, implementing Extended Producer Responsibility, integrating the existing informal sector, enhancing regional and international cooperation, and improving data acquisition and management. In summary, a combined approach involving local and international cooperation and socio- and technological development is essential for improving the circularity of EoL battery management in Mongolia.