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The relationship between a company’s cost, volume, and profit is important for strategic planning and widely used in business analysis and industrial management. Traditional Cost-Volume-Profit (CVP) analysis is used when a company is trying to determine what single level of sales, prices, and costs is necessary to reach a specific amount of profit. So far, a little attention has been paid to the extension of existing models of CVP analysis to illustrate a set of break even points, profitable sales, prices, and costs. For this purpose, for the first time, we propose a new approach to break even and profitability analysis called sphere packing based on a notion of set of profitability conditions with respect to CVP parameters. This approach uses sphere packing theory [9, 10], linear programming and allows industries to handle break even and profitability analysis for multi-product case finding a set of required sales, prices, and costs to ensure profitability of a company. The sphere packing approach also provides practical suggestions and recommendations for managers to choose a set of optimal CVP parameters. The proposed approach is illustrated on some examples providing numerical results.
Шугаман программчлалын урвуу бодлогыг шинээр томьёолон түүний шийд оршин байх мужийг оновчтой нөхцөлийн тусламжтайгаар тодорхойлсон. Пүүсийн ашигт ажиллагааны оновчтой горим мэдэгдэж байх үед загварын параметрүүдийг урвуу шугаман программчлалын аргаар тодорхойлж болохыг компанийн жишээн дээр харуулсан.
Long-term forecasting of key macroeconomic indicators such as population is very important for future development policy making. Population plays an important role in economic decision making, social security and economic growth. So it is important to develop a good model for predicting economic indicators. In order to improve the growth model, we introduce a new model called Exlog Weighted Sum Model for predicting macroeconomic indicators. This model combines both exponential and logistic models. The proposed model was tested for predicting Mongolian population up to 2040.
The relationship between a company's cost, volume, and pro t is important for strategic planning and widely used in business analysis and in- dustrial management. Traditional Cost-Volume-Pro t (CVP) analysis is used when a company is trying to determine what single level of sales, prices, and costs is necessary to reach a speci c amount of pro t. So far, a little attention has been paid to the extension of existing models of CVP analysis to illustrate a set of break even points, pro table sales, prices, and costs. For this purpose, for the rst time, we propose a new approach to break even and pro tability analysis called sphere packing based on a notion of set of pro tability con- ditions with respect to CVP parameters. This approach uses sphere packing theory [9, 10], linear programming and allows industries to handle break even and pro tability analysis for multi-product case nding a set of required sales, prices, and costs to ensure pro tability of a company. The sphere packing approach also provides practical suggestions and recommendations for man- agers to choose a set of optimal CVP parameters. The proposed approach is illustrated on some examples providing numerical results.
Long-term forecasting of key macroeconomic indicators such as population is very important for future development policy-making. Population plays an important role in economic decision-making, social security and economic growth. So it is important to develop a good model for predicting economic indicators. In order to improve the growth model, we introduce a new model called Exlog Weighted Sum Model for predicting macroeconomic indicators. This model combines both exponential and logistic models. The proposed model was tested for predicting Mongolian population up to 2040
The relationship between a firm’s costs, profits and its volume levels is very important for strategic planning. Cost-volume-profit (CVP) analysis is also used when a company is trying to determine what level of sales is necessary to reach a specific level of profit, also called targeted profit. In this paper, we propose a new approach to CVP based on sphere packing theory and linear programming. This approach allows companies to handle CVP for multi-product case finding a set of the required sales level for a given level of the targeted profit.
The paper deals with an application of survival theory in mineral processing industry. We consider the problem of maximizing copper recovery and determine the best operating conditions based on survival theory. The survival of the system reduces to a problem of maximizing a radius of a sphere inscribed into a polyhedral set de fined by the linear regression equations for a flotation process. To demonstrate the effectiveness of the proposed approach, we present a case study for the rougher flotation process of copper-molybdenum ores performed at the Erdenet Mining Corporation(Mongolia).
The Leontief Input-Output model is a valuable tool for economics. Many economic research works are devoted to analysis of Input-Output table [1]-[5]. In this paper, we consider a separation of Copper production subsector from Mining of metal ores sector which is one of the 55 economic sectors of Input-Output Table of Mongolia. We examine impact of this subsector on other economic sectors using Input-Output table for 2016 and Physical Measurement Method of Cost Accounting [6]. We compute input coefficients of new extended matrix as well as inverse coefficients.
The nonzero sum four-person game was considered. We show that the game can be reduced to a global optimization problem by extending Mills’ result (J Soc Ind Appl Math 8(2):397–402, 1960). For solving the problem, we propose a global optimization method that combines the ideas of the classical multistart and an estimation of a convexity degree of the function. The proposed algorithm was tested numerically on some problems created by the well-known generator GAMUT (GAMUT is a Suite of Game Generators. http://gamut.stanford.edu) and allowed us to find solutions to the four-person game.
Input-Output Table(IOT) and its application in economical and political decision making, Description of the IOT, Open static quantity models, DESCOMPOSITION METHOD OF INTER-SECTORS IN INPUT-OUTPUT TABLE: Case of MONGOLIA (IOT for 2016)
We apply Markowitz portfolio theory to Mongolian economy in order to define optimal budget structure. We assume that the government revenue is a portfolio consisting of seven major taxes and non-tax revenues. We minimize the variance of the portfolio under fixed return of the government revenue. This optimization problem has been solved by the conditional gradient method on MATLAB. Computational results based on Mongolian economic data are provided.
The paper deals with a Berge equilibrium in the bimatrix game for mixed strategies. Motivated by Nash equilibrium , we prove an existence of Berge equilibrium in the bimatrix game. Based on Mills theorem , we reduce the bimatrix game to a nonconvex optimization problem. We illustrate the proposed approach on an example.
The input-output model(IOM) most often used in practice is the traditional open static Leontief model [1] with the inverse Leontief matrix as general solution. The descriptive use of the input output table (IOT) offers information on input pattern and on output pattern. This requires the calculation of input and output coefficients. Input coefficients are calculated by dividing each value in the column of the IOT by the corresponding column total and show the purchases and input structures. Output coefficients are calculated by dividing each value in the row of the IOT by the corresponding row total and show the sales and output structures. Both coefficients can assist policy-making when looking for optimal governmental expenditure programs. IOT for Mongolia is a matrix of dimension 55x55
We introduce so-called four-players triple game and define Nash equilibrium.
The aim of this paper is to study theoretical aspects of export credit insurance in the framework of microeconomics and analyze the economic impacts of an export credit program on trade flows within a framework of a microeconomic analysis. A multi-country trade model has been developed based on optimization methods and algorithm. For our theoretical analysis, we consider a multi-country trade model when one of countries imports an export good from other countries.
Abstract The nonzero sum four-person game was considered. We show that the game can be reduced to a global optimization problem by extending Mills’ result (J Soc Ind Appl Math 8(2):397–402, 1960). For solving the problem, we propose a global optimization method that combines the ideas of the classical multistart and an estimation of a convexity degree of the function. The proposed algorithm was tested numerically on some problems created by the well-known generator GAMUT (GAMUT is a Suite of Game Generators. http://gamut.stanford.edu) and allowed us to find solutions to the four-person game.
