Methods of Assess the Impact of Technological Variables Complex Spatial-Distributed Systems on Costs

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1 Iteratioal Joural of Advaces i Applied Scieces (IJAAS) Vol. 5, No., March 206, pp. 45~49 ISSN: Methods of Assess the Ipact of echological Variables Cople Spatial-Distributed Systes o Costs oreev A. M, Shyri A. M., Lavruhia. V., Abdullah L. S. Lipets State echical Uiversity, Rusia Article Ifo Article history: Received Dec 4, 205 Revised Feb 5, 206 Accepted Feb 22, 206 ABSRAC he paper cosiders the ethod of calculatig costs, taig ito accout the effect of techological paraeters; the odel of forecastig of costs of productio resources based o the atri of costs are described; the ethods of assess the ipact of paraeters of cople spatial-distributed systes o costs are preseted. eyword: Cople Matheatical Model Method of Calculatio, rocess Syste Copyright 206 Istitute of Advaced Egieerig ad Sciece. All rights reserved. Correspodig Author: oreev A. M, Lipets State echical Uiversity, Rusia. Eail: d.48@rabler.ru. INRODUCION For aalyzig the depedecy of costs o the thicess ad width of etal, atrices of costs for the particular cost eleets ad total costs o the stage of processig or assebly ca be built. Such atrices are costructed for each steel grade separately. If the defiig techological paraeters for all cost eleets are ow, we ca calculate these costs durig the study period. Iitial data are: he data array o volues of idustrial products M; Array of the defiig techological paraeters for each eleet of cost ; Diagoal atri of the coefficiets of proportioality for each eleet of cost (the uber of eleets of costs ). I atri for: (M* () )* () = () O the first stage of the research, the atri of proportioality () is uow. Havig the iitial data for a defiite base period (for eaple, for the oth) o productio volues М, processig techologies ad epeded resources, a atri () ca be achieved * ( ) * M (2) Multiplyig by the iverse atri: Joural hoepage:

2 46 ISSN: ( ) ( ) ( ) M * * M * * M * * (3) As the result, we have: ( ) M * * (4) O the basis of geeralized atrices of coefficiets of proportioality ad total cosuptio of techological paraeters durig the studied period, it is possible to predict the cosuptio of resources i the curret period accordig to basic coefficiets [5, 7, 8]. where is the atri of total costs durig the studied oth o the basic; is a diagoal atri of the studied period; is the atri of coefficiets of the base period. Siilarly, the atri of forecasts o all I studied periods accordig to the coefficiets of proportioality of basic J periods are defied. ( I, J) diag( M ) ( I) ( J) (6) If of periods is eplored, the the fial atri of the forecasts will cotai [ (the uber of atrices )] [(-) (the uber of predicted periods), i.e ]=[*(-)] lies. he fial table for each cost eleet has the followig for (table ). (5) able. the Model of Calculatio of Cost Ites echological paraeters Forecasts of costs accordig to periods 2 3. the forecast for the period o the period 2 the forecast for the period o the period 3.. R( I, J ) the forecast for the period o the period (-) he actual cosuptio of resources R(I) R() R(2). R(2) Note to the table : is techological paraeter of period ; - is the value of the forecast for the J period of cosuptio of the R resource accordig to the data of the I period i the paraeter. o assess the ifluece of particular paraeters o the cost eleets, the separate atrices of forecasts for each paraeter are built (table 2). able 2. Matri of forecasts for the paraeter o periods Base periods (J) he studied periods (I) J I Т- Т R() J RJ ( ) Т- Т R( IoJ ) R ( Т ) If the ubers of the base ad studied periods are equal (I=J) i the table 2, the R(IoJ) the actual cosuptio of resources durig the studied period R(J) is oted. As the result, it is possible to get average IJAAS Vol. 5, No., March 206 : 45 49

3 IJAAS ISSN: forecasts for particular periods ad for the etire studied period (e.g. a year). he average error of forecasts for the period o the studied paraeter L : L RI ( ) R( IJ ) J RI ( ) L RI ( ) (7) Where: R(I) - is the actual cosuptio of resource R durig the studied period I; - are projected costs of the R resource o a cople of L paraeters for the I period i the atri of basic coefficiets for the J period; is the uber of projected periods. he average error for the etire projected period for each techological paraeter R L I i L RI ( ) I (8) A eaple of a forecast of resource cosuptio depedig o techological paraeters is give i the table 3. able 3. he Forecast of Electric Eergy Cosuptio o the otal Copressio, W h electric eergy Jauary February March April ay Jue July August Septeber October Noveber Jauary 3756,9 3283, ,4 3726,2 3552, , , , , , ,6 February 39837, ,3 3848, , 3728,8 3443, , , 38535, ,9 2978,9 March 37625, , , 3789,4 3522, , ,9 3424, ,3 2506, ,9 April 3625, , , , , , , , , ,47 993,27 ay 37930, , , , 35497, ,97 345,8 3458, ,6 2680, ,73 Jue 38387, , , , ,4 3378, , , ,2 2942,29 279,3 July 39445, , , ,8 3695, ,6 3556, , , , ,73 August 3983, , , , , , , , , 22397,28 268,29 Septeber 36808,5 3273, , , ,39 383,59 334, , , , ,94 October 3757, , , , ,34 325, ,5 3385, , , ,69 Noveber 37748, , ,79 373, , , , ,7 3655, , ,79 the average 38025, , , , , , , , , ,2 o the oth 20968,83 error 2,6 5, 2,6 5,7 2,6 2,9 4,8 3,8 3,9 3,2 2,5 the average error 3,6 Usig the data of the table it is possible to costruct a regressio odel of depedecy of the actual cosuptio of resources fro the predicted values of techological paraeters. j i b 0 bj (, ), i,..., R j i I J (9) Sice the values of actual ad projected cosuptio of resources are coparable i size, the coefficiets of the b j odel allow estiatig the ipact of the predicted value of the cost eleet accordig to the correspodig techological paraeter o the real value of the studied resource [-4, 6, 8]. It is possible to evaluate the effectiveess of the use of particular paraeters for the cost forecast by receivig correlatio atri i the table. Correlatio ad regressio aalyses allow estiatig the ifluece of paraeters without gettig forecasts. I this case, it is possible to evaluate the ifluece of the total cosuptio of each M techological paraeter o the cost eleets. able 4 is fored here. Methods of Assess the Ipact of echological Variables Cople Spatial- (oreev A. M)

4 48 ISSN: period Т products able 4. otal Cosuptio of echological araeters ad the Cost Eleets otal cosuptio of techological techological paraeters paraeters the cost eleets weight i ji.. i i i i i i i i i i i i i he ass of products, which is realized for all the eleets of the alphabets of these paraeters durig the studied period t (table 5), is deteried to assess the ipact of techological factors o the cosuptio of resources. perio d able 5. he Distributio of Mass of roducts Accordig to Eleets of the Alphabets of the araeters techological paraeters the cost eleets b b j b J b b j bj b j b J b b j b J b j Т b b b J bj b bj Accordig to the obtaied data fro the table 5, it is possible to costruct odels of forecast of the resource cosuptio fro total cosuptio of techological paraeters accordig to their distributio o the alphabet eleets. J c c b, p,.., p 0 j b j j j (0) where - is the average value of the alphabet eleet 2. CONCLUSIONS a. he algoriths ad odels of requireet forecast i the resources for productio are developed, allowig to provide us with a ore detailed cost iforatio ad to help i price fiig for differet types of products, sigificatly reducig respose ties to chagig ecooic ad techological situatio. b. Methods of evaluatio the ipact of paraeters of cople spatial-distributed systes o costs are itroduced. IJAAS Vol. 5, No., March 206 : 45 49

5 IJAAS ISSN: REFERENCES [] oreev A. M., Abdullah L. S. Setaiova. A. Siulatio of difficult idustrial systes i the for of the probable autoatic achie // Metallurgical ad Miig Idustry, 205, o.2, рp [2] Abdullah L. S., Setaiova. A., oreev A. M. Criterio for assessig the effectiveess of fuctioig of cople systes based o the use the aout of iforatio. Iteratioal Joural of Applied Egieerig Research Т. 0. No.. С [3] oreev A. M., Abdullah L. S. Setaiova. A. he calculatio of costs for oyge-coverter productio. Fudaetal ad applied studies i the oder world o. 9-. С [4] oreev A.M. Miroshiova.V. Evaluatio of the ifluece of cost of productio usig the evaluatio criteria of optiality of techological odes. Socio-ecooic processes or pheoea. 20. o. -2 (23-24). С [5] oreev A. M. Miroshiova. V. Developet of odels for aalysig the ecooic perforace of cople idustrial systes. Socio-ecooic processes or pheoea o. 6 (22). С [6] oreev A.M. Criteria couicatio techologies ad properties, taig ito accout costs ad the cost of the fiished product. Maageet systes ad iforatio techology Т. 3. o... С [7] oreev A.M. Miroshiova.V. he ethod of calculatig costs taig ito accout the ifluece of techological factors. Maageet systes ad iforatio techology Т. 30. No С [8] oreev A.M., Bolotova.V. Aalysis of the requireets for the productio of steel at chage of productio coditios. Maageet systes ad iforatio techology Т С Methods of Assess the Ipact of echological Variables Cople Spatial- (oreev A. M)

AUTOMATIC GENERATION OF FUZZY PAYOFF MATRIX IN GAME THEORY

AUTOMATIC GENERATION OF FUZZY PAYOFF MATRIX IN GAME THEORY Dr. Farha I. D. Al Ai * ad Dr. Muhaed Alfarras ** * College of Egieerig ** College of Coputer Egieerig ad scieces Gulf Uiversity * Dr.farha@gulfuiversity.et;