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Mathematical Modeling As A Method Of Quality Assurance In Construction

Table 1:

№ Type of tasks Content of a task Methods of problem solving
1 2 3 4
1 Distribution Optimization of resourcesRationalization of methods of performanceAccount and rationalization of restrictionsWork with surpluses and shortages Mathematical programmingNetwork analysis
2 Replacement Compliance with the requirements for operation of the equipment taking into account depreciationCompliance with the requirements for operation of the equipment taking into account obsolescenceOptimization of process of replacement at complete or partial breakdown of technological equipment Optimization of process of replacement at identification of equipment shortage of the equipment because of thefts Dynamic programmingProbabilistic methodsStatistical modeling
3 Search Optimization of providing information process Mathematical statistics
4 Performance assurance of sequence Optimization of connections between the equipment streams and their performance Network analysisMethod of statistical method
5 Stock management Optimization of expenses, connected with maintenance, transportation and stock holding Mathematical statisticsLinear programmingDynamic programmingMathematical modeling
6 Planning Scheduling Optimization of time-resource Network analysisDynamic programming
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