优化巷道布置系统模型的理论依据及其应用外文文献翻译

英文原文Optimization model of Coal Mine roadway layout system Based on Evidence Theory and Its ApplicationJinfeng Wang1, Mingzhong Zhao 1, Lijie Feng1,2, Xia Chen11 Institute of Management Engineering, Zhengzhou University, Zhengzhou, 4500012 Henan Rescuing Center for Mineral Disaster, Henan Zhengzhou, P.R.China, 450014(E-mail: )Abstract - Chinas coal mine roadway layout systems are complicated, multi-production and poor matching. And thus affect the overall effectiveness of the coal production logistics system. Although the research content on coal mine logistics system at home and abroad are many, however, research on the optimization method of coal mine roadway layout system are very few. In this paper, we did an in-depth analysis on coal mine roadway layout system, established an optimization factors system of coal mine roadway layout system, and determined the relative weight of the influencing factors at each levels using analytic hierarchy process to according to experts advices. At the same time, by introducing D-S evidence theory in this article, we established optimization model of coal mine roadway layout system and described its application process through empirical analysis. Finally, the results of the discussion can provide the optimization and transform of coal mine roadway layout systems in practice with a theoretical basis. Key words - Coal mine roadway layout system, influencing factors Evidence theory, Optimization modelI INTRODUCTIONCoal mine roadway not only can transport, ventilation, drainage, access to walk for both people and equipment, but also provide a space for all kinds of activities of underground. It not only contains the roadway subsystem, also includes associated coal mine production systems and equipment systems. Therefore, to study the coal mine roadway layout systems engineering, we must focus on analysis of the overall coal mine and its associated state and process, so as to enable the roadway system coordinate the various components of each other, and thus to reach the aim that technically advanced, reliable operation, economic on cost-effective, and ultimately get the best cost-effectiveness of integrated1,2.In this paper, on the basis of giving full consideration to the economy, efficiency, safety three factors, we did an in-depth analysis on coal mine roadway layout system, established a optimization factors system of coal mine roadway layout system, and determined the relative weight of the influencing factors at each levels using analytic hierarchy process3,4 (AHP) according to experts advices. And then, by introducing D-S evidence theory 5,6 in this article, we established optimization model of coal mine roadway layout system. Through empirical analysis explained its process and application. The results show that the optimization model is reasonable and feasible. THE ESTABLISHMENT OF INFLUENCING FACTORS OF OPTIMIZATION OF COAL MINE ROADWAY LAYOUT SYSTEMCoal mine roadway is not only can transport, ventilation, drainage, access to walk for both people and equipment, but also provide a space for all kinds of activities of underground. It is a large and complex system which consisting by multi-level sub-system. And it will result in the entire coal production logistics system inefficient while the resources will be serious waste if one sub-system have problem 1,2. For such a complex system, how to choose a reasonable optimization program and parameters of the mine roadway layout system, so that roadway layout systems get optimized and transformed, has been the research focus of many scholars. For optimizing and transforming the coal mine roadway layout systems, it involves the analysis of a large number of qualitative indicators. If the optimization is still mainly qualitative optimization, it is easy to lack uniform quantify standards and selection procedures. By introducing evidence theory, it can make up for its lack to some extent, and eliminate uncertainties existence in the systems.Through referring to coal mine roadway layout system literature 1,2, combining with systems engineering7, and considering the economy, efficiency, safety factors, we established four secondary factors as following: economy of engineering equipment, production efficiency, and the use of space and equipment efficiency, safety and reliability. And 12 three-tier influencing factors as following: the reasonableness of roadway project costs, costs of construction equipment maintenance, energy consumption of production and auxiliary equipment, depreciation rate of production and maintenance equipment, convenience of production and construction equipment, and the reasonableness of transport and enhance routes, the efficiency of auxiliary systems, and production efficiency of unit personnel and equipment, the ratio of shared roadway space, efficiency of the use of production and maintenance equipment, improvement of engineering and maintenance systems, and stability of auxiliary equipment and materials transport system 1,2. The specific is shown in Fig.l(In order to facilitate the definition of the four indicators of the second layer as attributes, we call the third-tier factor as indicators.)The factors of the system mostly arc qualitative factors, so it is necessary to determine the rating level of each factor. To enable the grade of various factors criteria clear and easy to operate, this article will set four grades: excellent, good, medium and poor. We build identify frameworks based on evaluation of evidence, get subjective judgments from a number of experts in related fields, and in accordance with the evaluation of evidence identification of the element of uncertainty given the subjective judgments, combined with the theory of evidence synthesis we draw a comprehensive evaluation of coal roadway layout roadway system. And combined with the results of the optimization, we gave some recommendations to optimize and improve the program. And so that it can provide the optimization and transform of coal mine roadway layout systems in practice with a theoretical basis.Fig.1 Influencing factors of optimization of coal mine roadway layout systemIII.EVIDENCE THEORY AND EVIDENCE SYNTHESIS METHODSA.Evidence TheoryDempster-Shafer evidence theory is theorized by Shafer in his monograph The Mathematical of Evidence Theory published in 1976 on the basis of Dempsters upper and lower probability and its synthesis rules5,9.D-S evidence theory has attracted widely attention in its advantages of expression of uncertainty, measurement and synthesis and so on. It improves its own defects, at the same time, combined the strengths of other methods. Its application has extended to probability and fuzzy sets. And it not only can synthesize prior information like Bayesian, and can deal with evidence of vague concepts such as language10.B. Evidence synthesis methodsDempster synthesis rule is a rule that reflects of the combination effects of evidence, and the specific content is as follows:Set that Bel1 and Bel2 are the two confidence function of the same framework to identify, and q1,q2 are the corresponding public functions. If there is Bel1 Bel2 and their publics function is q, then Among them, Clearly k is not dependent on A.Popularize to the n-dimensional: Among them, Symbol q(A) reflects the degree of the joint support to proposition A of evidence corresponding to m1,m2 .The rules will synthesize independent information of evidence that comes from different sources, resulting in more reliable evidence-information.IV OPTIMIZATION MODEL OF COAL MINE ROADWAY LAYOUT SYSTEM BASED ON EVIDENCE THEORYA.The relative weight between factorsWeight of factor reflects the relative importance of the quantitative distribution. Therefore, the coal mine tunnel system optimization factors layout system should be established after the establishment of factors of relative weight. Assumption that the object will be decomposed into r factors were: El,，Er， factors as the evidence of sources of information theory, evidence is not necessarily as important as between them there are also divided into primary and secondary, so can use the Analytic Hierarchy Process (AHP)3,4 approach to determine the factors for the relative weight of Ei is wi（i=1，r）, to meet: i=1rwi=1，w1，wn0. The weight of different factors, optimizing the outcome of the various factors to optimize the ultimate goal of support is different.B.Discount rate of and support FunctionsIncluded in the evidences uncertainty is usually to commitment by identify the framework of the assumptions, or through the support function s: 2 0,1, to explain, but the following situation is occur, that is not a support function that reflects the entire evidence of a some specific uncertainties, and therefore a support function s: 2 0,1 it seems that it is not clear. In fact, we have the evidence as a whole, only degrees of plausibility“a”0a1,which is reflected in the meaning of the parameters of the factors that decision-makers evaluate he results given the discount rate. Following giving an optimization model for multi-factor in the level of structure, how to combine the factors of the relative weight of factors to optimize the results will be translated into evidence of the credibility of the theory of the basic method of distribution.If wk= max(w1 , , wn ) , said a key factor for this indicator. The key factors Ek based on the state of j (to identify the framework of elements) of the probability iskj,j=1, n, is determined by the policy makers,based on kj in the value of the extent of how much he can believe that the statej, will happen, given the corresponding discount rate, charged with m jk=kj(j=1, n), m jk means that the key factors on the decision-makers the degree of support or confidence.Non-critical factors Ei, based on the state probability givenj forij . Similarly, we can also discount throughij to generate the corresponding level of support. The importance of the degree of Ei with Ek is wi/wk, and thereforeij an appropriate discount rate check (wi /wk ) ,note:mjk= (wi /wk )ij, (j=1, n) (4)Use m ij to denote non-critical indicatorsj proposition to provide the degree of support. For any Ei,so thatMi(j)=mij, (j=1, n) (5)Mi()=1-mij (6)mi is the indicators (factors) arising from the evaluation of the results of function m, (i = 1, ., r).So that we can use the results of the multi-factor model of the optimization problem corresponding to the establishment of a model of evidential reasoning, and apply appropriate methods of evidence synthesis of the basic credibility of the integrated m function. The model that is, coal mine roadway layout optimization model system.V.EMPIRICAL ANALYSIS OF THE OPTIMIZATION OF COAL MINE COAL MINE ROADWAY LAYOUT SYSTEMA.Determination of the example(1)Determine the reviews set:=1 , 2 , 3 , 4 said that the reviews set and the identification framework representing excellent, good, in, poor in four reviews.(2)In accordance with the evaluation index system as shown in Fig.1, we set that X as the second tier set of attributes. And that is, X=( x1 , x2 , x3 , x4 ), in which the attributes set of x1 isEi, i=1, 2, 3, 4 . There are four attributes in the set x1 ,that is E1 =e11 , e12 , e13 , e14 . Similarly, E2=e21 , e22 , e23 , e24 ，E3=e31 , e32 ,E4=e41 , e42 .(3)Determine the relative weight of the indicators at all levels: In this paper, we use analytic hierarchy process to identify the relative weight of indicators at all levels, and the weight set W=( w1 , w2 , w3 , w4 ) = (0.518, 0.292,0.090, 0.100). The weight vector of attribute set ( E1 , E2 , E3 , E4 ) respectively recorded as:V1=(v11 , v12 , v13 , v14 )=(0.35, 0.25, 0.25, 0.15, )V2=(v21 , v22 , v23 , v24 )=(0.4, 0.2, 0.1, 0.3)V3=(v31 , v32 )=(0.65, 0.35)V4=(v41 , v42 )=(0.4, 0.6)Assume that 10 experts in coal mine logistics give evaluation to the sample of the roadway layout system, and the basic reliability allocation are as shown in Table 1:TABLE 1 THE TABLE OF THE BASIC RELIABILITY ALLOCATIONB.Evidence synthesis of the influencing factorsThe attribute x1 on the economics of engineering equipment were analyzed, and its weight are as following: V1=(v11 , v12 , v13 , v14 )=(0.35, 0.25, 0.25, 0.15, ) And their evaluation information is as shown in Table 2: TABLE 2 THE BASIC RELIABILITY ALLOCATION OF THE ECONOMY OF ENGINEERING EQUIPMENTAccording to the size of the weight, we select e11 as the key factor, and the remaining factors are the non-key factors. And we set1 = 0.8 as the discount rate of the key factor, while the discount rate of non-key factors are follows: (v12 v11) =0.5714, (v13 v11) =0.5714， (v14 v11) =0.3429。Then use the formula of D-S Synthesis to synthesize the four function m of the factors x1, to the following function m, so the total reliability allocation is as shown in Table 3: TABLE3 THE TOTAL RELIABILITY ALLOCATION OF THE ECONOMY OF ENGINEERING EQUIPMENT Similarly, the total reliability allocations of other attributes are as shown in Table 4 to 6.TABLE 4 THE TOTAL RELIABILITY ALLOCATION OF PRODUCTION EFFICIENCY(Note: The key factor is E21, the discount rate2= 0.9) TABLE 5 THE TOTAL RELIABILITY ALLOCATION OF THE USE OF SPACE AND EQUIPMENT EFFICIENCY(Note: The key factor is E31, the discount rate3= 0.9) TABLE 6 THE TOTAL RELIABILITY ALLOCATION OF SAFETY AND RELIABILITY(Note: The key factor is E41, the discount rate4 = 0.9) C. The total reliability allocations of the systemWe set all the above attributes (E1, E2, E3, E4) as the evidences of a coal mine roadway layout system, and then synthesized four the total reliability allocations function m of the attributes (E1， E2，E3，E4) into one function m using D-S formula, and thus got the total reliability allocation. The final results of the total reliability allocations are as shown in Table 7:TABLE 7 THE TOTAL RELIABILITY ALLOCATION OF COAL MINE ROADWAY LAYOUT SYSTEMVI. CONCLUSIONS In this paper, we did an in-depth analysis on coal mine roadway layout system, established a optimization factors system of coal mine roadway layout system, and determined the relative weight of the influencing factors at each levels using analytic hierarchy process according to experts advices; We used D-S synthesis formulas to synthesize the views of experts, focused on the uncertainty exited in experts advices. Except the completely conflicting views, D-S synthesis formulas can get good synthesize effect; domestic the research on optimization methods and optimization model of coal mine roadway layout system is still very weak, applying evidence theory applied to the coal mine roadway layout system has a good reference to optimization and transformation of coal mine roadway layout system; empirical analysis shows that the optimization model is reasonable and feasible.ACKNOWLEDGMENT This paper is sponsored by Program for Science Technology Innovation Talents in Universities of Henan Province (NO. 2008HASTIT010), and sponsored by Natural Science Foundation of China (NO. 70740002). REFERENCES 1 Wang Jinfeng, management of coal mine logistics system M, Henan Peoples Publishing House, 2004 2 Wang Jinfeng, coal mine production logistics system D, Tianjin University, 2005 3 Yang Ping, Liu Weidong. The level evaluation method of group decision-making based on evidence theoryJ. 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Upper and lower probabilities induced by a multi-valued mapping J.Annual Math statist,1997, 38(4)9 Shafer G,A Mathematical Theory of EvidenceM.Princeton Uni-versity Press, Princeton, New Jersey,1976,1-610 Tong Jianjun, Research of the evidence theory and its application in decision-making and evaluationD, Hefei University of Technology, 2005中文译文优化巷道布置系统模型的理论依据及其应用王金凤1，赵明中 1，冯立杰1,2，陈夏11郑州大学工程管理学院，郑州，4500012河南省矿产灾害抢救中心，河南郑州， 450014（电子邮箱：）摘要一中国煤矿巷道布置系统复杂，多个工作面同时生产以及机械装备落后，从而影响煤炭生产物流系统的整体成效。虽然国内外关于煤矿物流系统的研究内容很多，但是研究煤矿巷道布局系统优化方法的却很少。本文中，我们对煤矿巷道布置系统进行深入地分析，设定了影响煤矿巷道布置方法的系统优化因素，并根据专家建议，使用层次分析法确定了每个层次影响因素的相对权重；同时，通过引入D-S证据理论，我们建立了优化煤矿巷道布置系统的模型并通过实证分析阐述了其应用过程。最后，讨论的结果可以为优化和改造煤矿巷道布置系统的实践提供理论依据。关键字煤矿巷道布置系统，影响因素，证据理论，优化模型。1简介煤矿巷道不仅可以用于运煤，通风，排水以及运送人员和设备，而且还为井下各种生产作业提供了工作空间。它不仅包含巷道子系统，还包括与其相关的煤矿生产和设备系统。因此，为了研究煤矿巷道布置系统的工程，我们必须着眼于矿井的整体分析及其相关现状和发展过程，从而使巷道系统组成的各个部分相互协调，这样就能达到“技术先进，运行可靠，经济节约”的目地，并最终获得最佳的总体效益 1，2。本文，在充分考虑经济，效率，安全三个因素的基础上，我们对煤矿巷道布置系统进行了深入地分析，设定了煤矿巷道布置系统的优化因素，并根据专家建议，使用层次分析法 3，4确定了每个层次影响因素的相对权重。然后在这篇文章中通过引入D-S证据理论 5，6，我们建立了煤矿巷道布置系统的优化模型。通过实证分析解释其应用过程，结果表明，该优化模型是合理和可行的。2影响煤矿矿井巷道布置系统的优化因素的建立煤矿巷道不仅可以用于运煤，通风，排水以及运送人员和设备，而且还为井下各种生产作业提供了工作空间。这是一个庞大复杂的系统，由许多层次的子系统组成。如果一个子系统有问题，它会导致整个煤炭生产物流系统效率低下，使资源严重浪费1，2。对于这样一个复杂的系统，如何选择一个合理的优化方案和矿井巷道布置系统参数，使巷道布置系统得到优化和改造，一直是众多学者研究的重点。为了优化和改造煤矿巷道布置系统，它涉及大量定性指标的分析。尽管优化主要还是质的优化