THE AUTOMATED SYSTEM OF THE RHYTHM ANALYSIS IN THE EDUCATIONAL PROCESS OF A HIGHER EDUCATIONAL INSTITUTION ON THE BASIS OF APRIORISTIC DATA
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1 THE AUTOMATED SYSTEM OF THE RHYTHM ANALYSIS IN THE EDUCATIONAL PROCESS OF A HIGHER EDUCATIONAL INSTITUTION ON THE ASIS OF APRIORISTIC DATA Nicolae PELIN PhD, Associate Professor, Iformatio Techology Deartmet, Uiversity of Alied Sciece of Moldova, Kishiev, Moldova eli_icolae@yahoo.com Vladimir MIRONOV PhD, Associate Professor, Tver Techical Uiversity, Russia Abstract: I this article we cosider the roblems of algorithm fuctioig develomet for the system of automated aalysis of the educatioal rocess rhythm i a higher educatioal istitutio. Usig devices of exerimetal laig i coductig the scietific researches, adated methodologies, which were received by authors i their dissertatios regardig the decisio of similar roblems for cotiuous ad discrete mass roductios, there are offered variats of costructig corresodig algorithms for the automated aalysis of rhythm i a higher educatioal istitutio i coductig the educatioal rocess. Key words: automated system; rhythm; educatioal rocess; quality. Itroductio The rearatio of exerts with higher educatio i the CIS coutries i the last 5 years is still accomaied by a decreasig iterest i exact ad egieerig scieces ad by a icreasig demad for ecoomic ad legal secialties. The laed umber of studets i educatioal grous of oe secialty usually decreases, but for other secialties the umber of grous ad studets i a grou icrease, which leads to the ifrigemet of educatioal rocess rhythm, with all resultig cosequeces. First of all, it iflueces the quality of the educatioal rocess. Fidig variats of the automated rhythm aalysis of oe educatioal rocess or aother is the imortat ad actual roblem. Usig laig techiques for the exerimet, it is obviously ossible to calculate the geeral disersio of the rhythm factor. I the begiig, by meas 279
2 of Kohre criterio, the erformace of a hyothesis regardig the static uiformity of a selective disersio is checked. The heterogeeity of each ste is also established. oth the size of dislacemet, ad the umber of other oeratios are defied, while the icture of disersio is also revealed. For a quatitative estimatio of the rhythm factor we use the techique reseted i [,2]. I establishig the mathematical deedece betwee a rhythm arameter ad the time we draw by aalogy the sequece of actios alied i [3]. The momets of oe-dimesio umbers of the distributio [4], the mixed momets aid off, factors of correlatio ad the correlatio attitude are calculated, i the ed, the factors ad direct regressio equatio, offered by P.L.Chebyshev [4] are defied. The received model ca be used as a basis for the costructio of the automated system of the aalysis of rhythm i coductig the educatioal rocess by rearatio of exerts with higher educatio i moder coditios. 2. The aalysis of rhythm of educatioal rocess Let's assume, that there are rhythmical ad sasmodic educatioal rocesses. Rhythmical rocesses are stable, the quatity of traied studets ad the quatity of let out exerts i uit of time В f basically corresods to the i-advace established la В р, i.e. В f = В р. Grahically, rhythmical educatioal istitutios ca be reseted i the form of some liear deedeces () as show i figure ad 2. В 2 t Figure. The schedule of deedece betwee the quatity of traied studets ad graduate exerts from time at rhythmical () ad sasmodic (2) educatioal rocess К T Figure 2. The deedece betwee the rhythm factor ad time at rhythmical () ad sasmodic (2) educatioal rocess 280
3 I sasmodic educatioal istitutios the umber of traied studets ad the quatity of graduate exerts with higher educatio i curret time chages uder the casual law. For them deviatios from laed targets, both i egative, ad i the ositive arty are characteristic. Geerally, they ca be described i the form of some curves (2) reseted o figure ad 2. To quatitatively estimate both rhythmical, ad sasmodic educatioal rocesses is ossible by meas of factor of rhythm. Accordig to [,2,5, etc.] it is ossible to defie factor of rhythm К r a arity of the sum of actual release of exerts ad/or quatities of studets simultaeously traied i the certai eriod of time В f to the geeral scheduled volume of exerts release В р for the similar eriod of time: K r = i= i= f () I view of both ositive, ad egative deviatios of actual release of youg exerts ad/or simultaeous traiig of studets o corresodig secializatio В f from scheduled В р, the rhythm factor suggests to cout accordig to the followig formula: K a f i= i= r = = i= i= (2) where, а= В р - В f - absolute (both ositive, ad egative) a deviatio of scheduled ad actual release of exerts ad/or quatities of studets simultaeously traied durig the certai eriod of time, umber of the eriods i which the rhythm of educatioal rocess (educatioal weeks, semester, educatioal years) is aalyzed. The rhythm factor exressed by meas of formulas () ad (2) is equal to uit at rhythmical work of a educatioal istitutio ad less the oe i all other cases. Develomet-wise accordig to the reset article, there is a ecessity to cosider ossible fluctuatios of educatioal rocess which ca lower its quality cosiderably. It is ossible to cosider these fluctuatios as log as the corresodig algorithms i calculatig the rhythm factor will be icluded. However, the formulas resulted i [4] regardig the rhythm factor defiitio are ot so coveiet for their accout i corresodig algorithms because the iclusio i formulas () ad (2) ost value В f i defiig the rhythm factor which are ot always coveiet [3]. Positive results for calculatig the rhythm factor o the basis of arioristic data have bee received i [3] but have ot yet bee ublished, while as object of research there were data about roductio of the eterrise with discrete mass character of maufacture. Therefore we were required additioal researches for the ackowledgemet of a oortuity of use received i [3], ad for defiig the rhythm factor o the basis of arioristic data about a course of educatioal rocess i a higher educatioal istitutio. 28
4 For this urose we used data about a umber of studets from oe of the educatioal istitutios at the begiig ad the ed of each educatioal semester, i a autum ad srig semester, a umber of graduates i the eriod Parameters В f were comared, as well as i [3], with the la В р (a defied cotiget of studets acceted o the first rate) by meas of the followig formula f K = The variable К, received i relative uits, has aeared coveiet for carryig out the corresodig researches with the urose of defiig the arioristic rhythm factor of fuctioig of a higher educatioal istitutio. Values К are acceted as iitial for costructig tred comoets, describig the modificatio tedecy i the quatity of graduates i time, i.e. rhythm of educatioal rocess o the basis of arioristic data. I defiig the disersio of tred comoets it is coveiet to take advatage of the methods of disersive aalysis [4] which rereset methods of rocessig the exerimetal data, allowig the check u a hyothesis about resece of effect, iserted by the ivestigated factor, by allocatio ad comariso of two disersios: a disersio defied by effect of level chage i the ivestigated factor, ad a disersio describig distace, coected with a exerimetal mistake. Cosiderig that the laig ad the cotrol over a educatioal istitutio is coducted o results of each semester, academic year, o each release i a cut of each of educatioal grous, it would be logical to aalyse a share of the disersio at each stage i the geeral disersio by meas of the device of ste laig exerimet [4] about which we already made some remarks i the st sectio of this resetatio. 3. Coclusios Calculatig the rhythm factor by time i a educatioal istitutio o the basis of arioristic data, o quatity of traiees, o a cotiget of graduates, ad its use for costructig algorithms for the automated system of rhythm aalysis durig the rearatio of exerts, eables us to redict more accurately the behavior of a course of educatioal rocess durig the subsequet eriods of time, more recisely to cout a academic load of teachers, allowig the reducig of fiacial losses of a educatioal istitutio, as well as the quality icrease i the educatioal rocess as a whole. Refereces. Miroov, V.I. About quatitative estimatio of fuctioig rhythm of difficult systems, i * * * Perfectio of desig ad imlemetatio of the automated oeratig systems. Proceedigs of all-uio scietific techical cofereces Permi, 980, Miroov, V.I. Develomet ad research of a rhythm cotrol system of roductio rocess of a viscose textile thread, Proceedigs of scietific coferece, Kalii, Peli, N. The cotrol of the rimary data about movemet of material streams i the automatic cotrol system with the discrete mass character of maufacture, Proceedigs of scietific coferece The automated cotrol systems (iterbrach roblems) Kishiev,
5 4. Mitroolskii, A.K. Techics of statistical calculatios - secod editio, Moscow: Sciece, Moscow, Smiritskii, E.K. Ecoomic idicators of the idustry, Ecoomy, Moscow, 980 Codificatio of refereces: [] Miroov, V.I. About quatitative estimatio of fuctioig rhythm of difficult systems, i * * * Perfectio of desig ad imlemetatio of the automated oeratig systems. Proceedigs of all-uio scietific techical cofereces Permi, 980,.5-6 [2] Miroov, V.I. Develomet ad research of a rhythm cotrol system of roductio rocess of a viscose textile thread, Proceedigs of scietific coferece, Kalii, 983 [3] Peli, N. The cotrol of the rimary data about movemet of material streams i the automatic cotrol system with the discrete mass character of maufacture, Proceedigs of scietific coferece The automated cotrol systems (iterbrach roblems) Kishiev, 985 [4] Mitroolskii, A.K. Techics of statistical calculatios - secod editio, Moscow: Sciece, Moscow, 97 [5] Smiritskii, E.K. Ecoomic idicators of the idustry, Ecoomy, Moscow,
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