A Method for Ranking Battlefield Damaged Equipment Repairs Based on TOPSIS Dong Yu-cai, Pan Xue -qin, Wang Xiao-yan, Yao Jun-jie, Liu Jun-hong, Jin Qi

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1 Proceedngs of the nd Internatonal Conference On Sstes Engneerng and Modelng (ICSEM-13 A Method for Rankng Battlefeld Daaged Equpent Repars Based on TOPSIS Dong Yu-ca, Pan Xue -qn, Wang Xao-an, Yao Jun-e, Lu Jun-hong, Jn Q Departent of Fundaental Courses, Acade of Arored Force Engneerng, Beng, 10007, Chna Kewords: TOPSIS; battlefeld daaged equpent; rankng repars. Abstract: Battlefeld daaged equpent repars of ult-obectve decson-akng are sorted b the ethod of TOPSIS. It constructs deal soluton and negatve deal soluton of rankng battlefeld daaged equpent repars, copares the prot of equpent and the deal soluton and gets the order of battlefeld daaged equpent repars. The eaple s appled to eplan applcaton effect of ths ethod. The eperent shows that the ethod s eas to decson-akng, strong obectvt, applcablt and operablt, has great sgnfcance to enhance the cobat effectveness of troops. Introducton Battlefeld repar of the equpent s ver portant n techncal support work n warte,whch s an portant factor to antan and restore the cobat effectveness of troops. It can effectvel reduce the loss rate of equpent and ncrease the nuber of equpent deploed to prove the cobat effectveness[1,,3]. Battlefeld repars have great dffcult and soe ltatons because of the partcular envronent and condtons of warte. Iprovng the ablt of battlefeld equpent repars s the ost effectve easure and fundaental wa to reduce loss rate of equpent. Countereasures to solve ths dffcult s reasonable arrangeent the repar order of battlefeld daaged equpent under the prese of repar power n warte, n addton to appropratel ncrease the strength of repar preparaton. It can prove the overall securt effectveness of equpent, and ensure the troops sustaned cobat and wn on battlefeld. The sortng or preferred of battlefeld daaged equpent repars not onl need deternng scentfc and ratonal evaluaton sste, but also obectve and ratonal allocaton of weghts of evaluaton ndees. At present, coonl used ethods are AHP, fuzz coprehensve evaluaton ethod, ult-crtera ethod, value engneerng, and decson-akng ethod based on entrop weght ult-obectve and so on[4,5]. These ethods have ther own advantages, but the have a certan degree of subectve and arbtrar on subectve level of knowledge of the portance of all ndcators and akng the weghts are uncertantes. Ths paper ntroduces a ethod for rankng battlefeld daaged equpent repars based on TOPSIS. The ethod s a pure nuercal ethods It can obectvel reflect the relatve portance of each ndcator and ade equpent repars sortng s ore reasonable. Fnall, an eaple of radar equpent s ntroduced to show the ethod s scentfc and relable on battlefeld daaged equpent repars sortng. Prncple of TOPSIS The ethod of TOPSIS was frst proposed n 1980 b Hwang et al [6]. It s a ult-obectve decson akng ethod. Its basc prncple[7-11] s that the prot of each evaluaton obect and the deal soluton (optal nde are the bass to evaluate erts of each obect. It s a coprehensve evaluaton b eans of the deal soluton and negatve deal soluton and calculates the relatve closeness of progras. If a progra s not onl close to the deal soluton, but also awa fro the negatve deal soluton, t s the progra n the collecton. (1Data structures Publshed b Atlants Press, Pars, France. 0143

2 Proceedngs of the nd Internatonal Conference On Sstes Engneerng and Modelng (ICSEM-13 Suppose there are n pendng assessent obects, and each obect has evaluaton ndcators. The orgnal data atr s as follows: X 11 1 n1 1 n 1 n n* (1 ( Indcators have sae trend Soe evaluaton ndcators are postve, such as effcenc nde, and the other are nverse, such as cost nde. The evaluaton requres ndcators should have the sae trend. Generall, nverse nde are changed nto postve nde. If the are absolute nuber ndcators, transforaton uses the ethod of countdown1 /. If the are relatve nuber ndcators, transforaton use the ethod of dfference1. The transfored data atr s stll denoted as X. (3 Data densonless Non-densonal data atr s recorded as Y Y 11 1 n1 1 n 1 n n* ( In whch n ( 1,,, n; 1,,, (3 (4 Consttutes the weghted data atr Z. z w * ( 1,,, n; 1,,, (4 s w n the above equaton s the weght of the -th nde. (5 Identfcaton of deal and negatve deal value. The deal vector s Z ( 1,,,, ( 1,,, Z, negatve deal vector Z z z z Z z z z (5 In whch z z a n ( z1, z,, zn ( z, z,, z 1 n ( 1,,, (6 Publshed b Atlants Press, Pars, France. 0144

3 Proceedngs of the nd Internatonal Conference On Sstes Engneerng and Modelng (ICSEM-13 (6 Calculate the closeness between the nde vector value of evaluaton obect and deal vector. The dstance forula uses Eucldean dstance forula. D ( z z 1 D ( z z 1 ( 1,,, n (7 (7 Calculate the relatve closeness between the nde vector value of evaluaton obect and deal vector. D D D C ( 0 C 1; 1,,, n (8 (8sortng of evaluaton obect based on the sde of closeness, 0 C 1, When the ndcator vector of evaluaton obect s deal vector, C 1 ;When the ndcator vector of evaluaton obect s negatve deal vector, C 0. C s closer to 1, the correspondng evaluaton obect s ore to stand n the front. Battlefeld Daaged Equpent Sortng Of Radar Network Inforaton warfare ncreasngl dependents on ntellgence nforaton detected b earl warnng radar. Intellgence nforaton s a slght dela, t wll lose the best te to cobat, thus t affects the process and even the outcoe of wars. Therefore, the rankng of radar network battlefeld daaged equpent repars not onl consders ther detecton effcenc rato (rato of detecton arspace of sngle-radar and the radar network, necessar equpent and persons, ore portantl consder the substtutablt of ther cobat ssons and repar te. It s assued that four radar equpents belong to dfferent radar staton n a radar network appear daage at the sae te[5]. The prort of radar network battlefeld daaged equpent repars are evaluated b fve ndcators. The evaluaton data of radar network battlefeld daaged equpent deterned b equpent nforaton and battlefeld daaged assessent level s shown n Table 1.There are two knds of ndcator tpes n the table. "1" ndcates that the nde s effcenc, and "0" ndcates that the nde s cost tpe. Table 1 evaluaton for of radar network battlefeld daaged equpent repar sortng Battle daage equpent Unt Model Substtut e nde of cobat ssons 1 Detecton effcenc rato of radar network % Necessar equpent of repar (te 3 Necessar personnel of repar (person 4 Necessar te of repar (hour 1Staton LLQ Staton LLQ Staton LLQ Staton LLQ Indcator tpes Standardzed ndcators atr s Y. 5 Publshed b Atlants Press, Pars, France. 0145

4 Proceedngs of the nd Internatonal Conference On Sstes Engneerng and Modelng (ICSEM-13 Y (9 The weghtng atr of undensonalzaton ndcators s Z. Z (10 Ideal Soluton s Z, Negatve deal soluton s Z, Z (0.870, , , , (11 Z (0.1934, 0.36, 0.37, , (1 The dstances of evaluaton obect to deal soluton and sortng are shown n Table. Table The sortng of radar network battlefeld daaged equpent Battlefeld daaged equpent D D - Sortn C Unt Model g 1Staton LLQ Staton LLQ Staton LLQ Staton LLQ If the sort uses the ethod of fuzz coprehensve evaluaton sortng decson-akng proposed b lterature [1], eperts gve scores to portance level of the ndvdual ndcators,and then calculate the weght of each ndcator, t has a certan degree of operablt, and ts results are also consstent wth ths artcle. If the sort uses the ethod proposed b lterature [5], subectve weghts are cobned wth obectve entrop weght, the results obtaned are consstent wth ths artcle. Therefore, the ethod s reasonable.topsis s ore obectve to evaluaton obects, sort result of battlefeld daage equpent s ore reasonable and scentfc copared wth other ethods. Concluson Battlefeld repar s an portant factor to antan and restore cobat effectveness of equpent troops. Reasonable arrangeents for the repar not onl repar ore daage equpents n a lt te, prove the work effcenc of the equpent repar sste, but also gve prort to protectng the vtal equpents and prove effectveness of battlefeld repar. TOPSIS proposed b the papar can scentfc sort to battlefeld daaged equpent. The ethod s eas to decson-akng, has strong obectvt, applcablt and operablt, and great sgnfcance to prove cobat effectveness of equpent troops.it s acheved b coputer prograng n practcal applcatons. We can frst establsh repar database of equpent n order to prove the telness of coand and decson n warte. Publshed b Atlants Press, Pars, France. 0146

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