utility matrix
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2020 ◽  
Vol 1 (46) ◽  
pp. 375-386
Author(s):  
Khavruk V ◽  

In article it is considered the procedure for the formation of a stock management model in conditions of uncertainty and the development of an appropriate solution based on such traditional criteria as the MM- criterion, the H-criterion, the N-criterion, the S-criterion, the HW-criterion. Object of research - inventory management system. Purpose of the study - to study the model of inventory management in conditions of uncertainty and to clarify the basic traditional criteria for making appropriate decisions. Method of the study - the analysis and formalization: quantitative indicators of reserves, methods of forming a group of events, alternative solutions and calculation of the main traditional criteria for optimizing the model of inventory management under uncertainty. It is established that the methodology of decision-making under uncertainty presupposes the formalization of the scenario approach. The model of inventory management in conditions of uncertainty consists of the following consecutive stages, such as: 1) the collection of statistical output data (annual consumption of products, overhead for each supply, the price of purchasing a unit of production from suppliers, the selling price of a unit of production); 2) the formation of a complete group of possible events; 3) the formation of a list of alternative solutions under consideration; 4) compiling a utility matrix; 5) choosing the appropriate traditional criterion for making a decision. It was found out that, in the presence of two alternative suppliers of the same type of products, one of sixteen random events may occur. At the heart of every random event are taken into account such indicators as: annual consumption, unit selling price, consumers' claims on quality. Together, these events constitute a complete group of events. The utility matrix (the expected annual income) was constructed for sixteen random events based on the annual consumption and the price of sales. Calculations of traditional criteria for optimizing the inventory management model under conditions of uncertainty are considered and presented. The application of the inventory management model in conditions of uncertainty and decision-making is substantiated depending on the onset of one of the sixteen events based on such traditional criteria as: MM-criterion, H-criterion, N-criterion, S-criterion, HW-criterion. The results of the article can be used to improve the efficiency of inventory management by any business entities, in the event that there is a problem of unmet consumer demand. The forecast assumptions for the development of the research object are the development and refinement of the model of inventory management in the conditions of uncertainty in the presence of three or more alternative suppliers of the same type of products using software products and their introduction into the practical activities of enterprises. KEYWORDS: INCOME, RESERVE, COEFFICIENT, CRITERIA, MATRIX OF USEFUL, MODEL, EVENT, SUPPLIER, PROFIT, PRODUCTION, SOLUTION, SITUATION, CONSUMPTION, SCENARIO, TARGET FUNCTION.


2018 ◽  
Vol 26 (3) ◽  
pp. 231-250 ◽  
Author(s):  
Shaofei Jiang ◽  
Liting Jing ◽  
Xiang Peng ◽  
Hao Chai ◽  
Jiquan Li

In the early conceptual design process, a large number of conceptual schemes can be selected. However, existing studies primarily focused on mapping from the function to the principle solution and then evaluating the principle scheme. Currently, many concept selection methods are used for a small number of feasible schemes, thus not addressing a large number of initial conceptual schemes. As the scheme design is objective oriented, a reasonable design objective constraint should be considered when optimizing many schemes to avoid conflict between the conceptual scheme and the design objectives. This approach can quickly eliminate many unreasonable schemes produced by the principle of free combination. To address this problem, we propose a method for optimizing the conceptual design scheme based on integrated design objectives. First, the product design objectives and sub-objectives are obtained based on the functional requirements. A user requirement matrix is then created to cluster and analyse the sub-objectives. Second, a cooperative game model is created to coordinate sub-objective contradictions. Then, the game player and the strategy set are defined via secondary clustering, and the strategy utility is calculated to create a game utility matrix for each objective. Finally, the eigenfunction is analysed to obtain the strategy set satisfying the maximum requirement interest, which is applied in principle scheme optimization to quickly filter unreasonable schemes. The conceptual design of a transmission device is used as an example of the rapidly implemented optimization of the conceptual schemes.


2011 ◽  
Vol 255-260 ◽  
pp. 2850-2854
Author(s):  
Xiao Qing Zhang ◽  
Chun Lin Li ◽  
Qiong Fen Qian

Aiming at addressing the problem of optimal allocation of grid resource, a stochastic dynamics model is proposed to research evolutionary game of resource allocation in finite grid population in this paper. The focal point of this model is using a Moran process with frequency dependent selection to find the condition for selection favoring the invasion index and fixation index of gird user’s strategy during the repeated game. Then, according to the characteristics of economic grid, we establish a fixed utility matrix of grid users to quantify the strategy selection dynamics. The numerical experiments show that the strategy of individuals will develop towards different directions under different grid population size for maximizing its own utility.


2011 ◽  
Vol 50-51 ◽  
pp. 409-413 ◽  
Author(s):  
Li Chao Feng ◽  
Chun Feng Liu ◽  
Shao Hong Yan ◽  
Ai Min Yang ◽  
Jin Peng Wang

With rapid growth of national economy, infrastructure construction maintains its vigorous development, but there are some serious problems in this field, for example, construction unit and supervision unit may conspire together to swindle governmental capital. This paper introduces some background which exists in construction project management system, analyses relation and benefit of project’s tripartite main body, and establishes conspiracy game’s utility matrix of construction unit and supervision unit by introducing game theory. By establishing conspiracy game model between construction unit and supervision unit, the paper mainly discusses conspiracy action which may occur between construction unit and supervision unit (rent-seeking and rent-creating), gets equilibrium probabilities of seeking rent and creating rent, and make some further analysis.


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