Planning and production optimization within multiple mines or several work sites (entities) mining systems by using fuzzy linear programming (LP) was studied. LP is the most commonly used operations research methods in mining engineering. After the introductory review of properties and limitations of applying LP, short reviews of the general settings of deterministic and fuzzy LP models are presented. With the purpose of comparative analysis, the application of both LP models is presented using the example of the Bauxite Basin Niksic with five mines. After the assessment, LP is an efficient mathematical modeling tool in production planning and solving many other single-criteria optimization problems of mining engineering. After the comparison of advantages and deficiencies of both deterministic and fuzzy LP models, the conclusion presents benefits of the fuzzy LP model but is also stating that seeking the optimal plan of production means to accomplish the overall analysis that will encompass the LP model approaches.

Article citation info:ponents' reliability on the overall system reliability is usually done by using importance measures. The concept of importance measures, originally introduced by Birnbaum [2] and Vesely [23], has been significantly changed and improved over time. Structural and probabilistic importance measures are used most often, but a small number of importance measures that take into account the costs of improving the reliability of the individual components have also been developed over the last few years [12,24]. A common feature of the majority of importance measures is that component's importance to the system functioning and failure is determined based on the calculated value of a chosen importance measure [27]. Therefore, the general procedure IntroductionImprovement of the reliability of a complex system, besides providing redundancy of components, is achieved by improving the reliability of the individual components that have the greatest impact on the overall reliability of the system. In this paper, we consider a complex system as a system with multiple interactions between many different components [15] in which the behavior of the system cannot be easily and directly induced from the behavior of its components [3]. Within the context of reliability, main characteristics of a complex system are: large number of components, cut sets, path sets or components' states dependencies [7]. Analysis of the impact of the com- PAvlović P, MAkAjić-Nikolić D, vujošević M. A new approach for determining the most important system components and the budget-constrained system reliability improvement. eksploatacja i Niezawodnosc -Maintenance and Reliability 2017; 19 (3): 413-419, http:// dx the number of the most important components which should be prevented is often limited due to the available budget. Using pre-known minimal cut sets, a mathematical model based on the Budgeted Maximum Coverage Problem is proposed. By its optimization, the simultaneous determination of all of the most important components whose total expenses do not exceed the limited overall budget is achieved. The new approach was tested by a series of experiments conducted over a set of test examples. The results of the experiments were compared with the results obtained using two commonly used cost importance measures. Keywords

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