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Stáhněte si prohlížeč, který podporuje webový archiv, například aplikaci Microsoft Internet Explorer. ------=_NextPart_01CE20AA.BC744A30 Content-Location: file:///C:/8CB1322F/siegloch_ino.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Základní kapacita proudu na křižovatce</titl= e> <o:SmartTagType namespaceuri=3D"urn:schemas-microsoft-com:office:smarttags" name=3D"metricconverter"/> <!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>Petr Holcner</o:Author> <o:LastAuthor>Petr Holcner</o:LastAuthor> <o:Revision>17</o:Revision> <o:TotalTime>396</o:TotalTime> <o:Created>2011-03-02T14:50:00Z</o:Created> <o:LastSaved>2013-03-14T10:54:00Z</o:LastSaved> <o:Pages>1</o:Pages> <o:Words>1135</o:Words> <o:Characters>6702</o:Characters> <o:Company>VUT FAST</o:Company> <o:Lines>55</o:Lines> <o:Paragraphs>15</o:Paragraphs> <o:CharactersWithSpaces>7822</o:CharactersWithSpaces> <o:Version>11.9999</o:Version> </o:DocumentProperties> </xml><![endif]--><!--[if gte mso 9]><xml> <w:WordDocument> <w:HyphenationZone>21</w:HyphenationZone> <w:PunctuationKerning/> <w:ValidateAgainstSchemas/> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:Compatibility> <w:BreakWrappedTables/> <w:SnapToGridInCell/> <w:WrapTextWithPunct/> <w:UseAsianBreakRules/> <w:DontGrowAutofit/> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState=3D"false" LatentStyleCount=3D"156"> </w:LatentStyles> </xml><![endif]--><!--[if !mso]><object classid=3D"clsid:38481807-CA0E-42D2-BF39-B33AF135CC4D" id=3Dieooui></objec= t> <style> st1\:*{behavior:url(#ieooui) } </style> <![endif]--> <style> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; 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mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext=3D"edit" spidmax=3D"8194"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"1"/> </o:shapelayout></xml><![endif]--> </head> <body lang=3DCS link=3Dblue vlink=3Dpurple style=3D'tab-interval:35.4pt'> <div class=3DSection1> <h3>Základní kapacita proudu na křižovatce</h3> <p class=3DMsoNormal>Určení kritického časové= ;ho odstupu a následného časového odstupu jako základ stanovení základní kapacity proudu na křižovatce podle TP188.</p> <p class=3DMsoNormal>Výpočet podle TP188 se provád&iacut= e; podle vztahu:</p> <p class=3DMsoNormal><sub><!--[if gte vml 1]><v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@= 5l@4@11@9@11@9@5xe" filled=3D"f" stroked=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" style=3D'wi= dth:225pt; height:83.25pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image001.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D300 height=3D111 src=3D"siegloch_ino_soubory/image002.gif" v:shapes=3D"_x0000_i1025"><![endi= f]></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1025" DrawAspect=3D"Content" ObjectID=3D"_1424767333"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal>Přitom <i style=3D'mso-bidi-font-style:normal'>t<= sub>g</sub></i> je popsán jako kritický časový odstup [s] a <i style=3D'mso-bidi-font-style:normal'>t<sub>f</sub></i> jako následný časový odstup [s]. </p> <p class=3DMsoNormal>Bližší vysvětlení je takové:</p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l1 level1 lfo2;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]><i style=3D'mso-bidi-font-style:normal'>t<su= b>g</sub></i> kritický časový odstup [s] – je to délka (časové) mezery akceptovatelná pro to, aby vozidlo v podřízeném dopravním proudu provedlo sv= 67;j manévr, při kterém musí projet mezerou v nadřízeném dopravním proudu (proudech). Je zřejmé, že tento časový odstup by měl nějakým způsobem být závislý na rychl= osti nadřízeného dopravního proudu (proudů) a rovněž na druhu pohybu na křižovatce. Tato závis= lost je popsána pro různé druhy pohybu v ČSN 73 6102 na str. 136 v tab. A.6 a v TP188 na str. 24 v t= ab. 8. Za rozhodující rychlost se podle TP188 kap. 7.2.3 považuje v<sub>85%</sub> – rychlost, kterou nepřekročí 85% vozidel v nadřízeném dopravním proudu. </p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l1 level1 lfo2;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]>uvedené vztahy udávají lineární závislost časové mezery na rychlo= sti např. pro pohyb „doleva z hlavní“ <br> <sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1026" type=3D"#_x0000_t75" s= tyle=3D'width:132.75pt; height:24pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image003.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D177 height=3D32 src=3D"siegloch_ino_soubory/image004.gif" v:shapes=3D"_x0000_i1026"><![endi= f]></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1026" DrawAspect=3D"Content" ObjectID=3D"_1424767334"> </o:OLEObject> </xml><![endif]-->. <br> Co očekáváme z hlediska bezpečnosti od požadovaného časového odstupu <i style=3D'mso-bidi-= font-style: normal'><span style=3D'font-size:14.0pt'>t<sub>g</sub></span></i>? Jedna možná odpověď je tato: „Bezpečná= 220; časová mezera dostačuje na to, aby vozidlo v nadřazeném proudu dokázalo zastavit (pokud by třeba podřízené vozidlo zůstalo stát v dráze):</p> <p class=3DMsoNormal style=3D'margin-left:36.0pt;text-indent:-18.0pt;mso-li= st:l0 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'mso-list:Ignore'= >a)<span style=3D'font:7.0pt "Times New Roman"'>      </spa= n></span><![endif]>Hodnotu <i style=3D'mso-bidi-font-style:normal'>3,4 [s]</i> v TP188 pak musíme považovat částečně za konstantu udávající reakční čas nadřazeného vozidla a částečně za konstantní časový odstup od předchozího vozi= dla (tato konstanta se uplatní vždy nezávisle na rychlosti, = jak je napsáno ve výše uvedeném vztahu, jiný přímý výklad není možný).̶= 0; <br style=3D'mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style=3D'mso-special-character:line-bre= ak'> <![endif]></p> <p class=3DMsoNormal style=3D'margin-left:36.0pt;text-indent:-18.0pt;mso-li= st:l0 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'mso-list:Ignore'= >b)<span style=3D'font:7.0pt "Times New Roman"'>      </spa= n></span><![endif]>Pak můžeme považovat člen vztahu <i style=3D'mso-bidi-font-= style: normal'>0,021×v<sub>85%</sub></i> závislý na rychlosti = za čas potřebný k zastavení, který je z&aa= cute;vislý na rychlosti a na deceleraci takto:<br> obecně<span style=3D'mso-tab-count:2'>     &n= bsp;      </span><sub><span style=3D'position:relative;top:15.0pt;mso-text-raise:-15.0pt'><!--[if gte v= ml 1]><v:shape id=3D"_x0000_i1039" type=3D"#_x0000_t75" style=3D'width:202.5pt;height:57.= 75pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image005.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D270 height=3D77 src=3D"siegloch_ino_soubory/image006.gif" v:shapes=3D"_x0000_i1039"><![endi= f]></span></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1039" DrawAspect=3D"Content" ObjectID=3D"_1424767335"> </o:OLEObject> </xml><![endif]--><span style=3D'mso-spacerun:yes'> </span><br> je část požadovaného odstupu závislá = na rychlosti – uplatňujeme představu rovnoměrně zpomaleného pohybu, tento čas musí odpovídat <br> z TP188<span style=3D'mso-tab-count:1'>      =     </span><sub><span style=3D'position:relative;top:6.0pt;mso-text-raise:-6.0pt'><!--[if gte vml= 1]><v:shape id=3D"_x0000_i1038" type=3D"#_x0000_t75" style=3D'width:123pt;height:23.25= pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image007.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D164 height=3D31 src=3D"siegloch_ino_soubory/image008.gif" v:shapes=3D"_x0000_i1038"><![endi= f]></span></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1038" DrawAspect=3D"Content" ObjectID=3D"_1424767336"> </o:OLEObject> </xml><![endif]-->. <br> <br> Z toho plyne při použití převodu z km/h na = m/s, že <br> <sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1027" type=3D"#_x0000_t75" s= tyle=3D'width:90.75pt; height:42pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image009.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D121 height=3D56 src=3D"siegloch_ino_soubory/image010.gif" v:shapes=3D"_x0000_i1027"><![endi= f]></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1027" DrawAspect=3D"Content" ObjectID=3D"_1424767337"> </o:OLEObject> </xml><![endif]-->, <br> kde a je decelerace. Prostým výpočtem <br> <sub><span style=3D'position:relative;top:14.0pt;mso-text-raise:-14.0pt'><!= --[if gte vml 1]><v:shape id=3D"_x0000_i1028" type=3D"#_x0000_t75" style=3D'width:152.25pt;height:39= pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image011.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D203 height=3D52 src=3D"siegloch_ino_soubory/image012.gif" v:shapes=3D"_x0000_i1028"><![endi= f]></span></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1028" DrawAspect=3D"Content" ObjectID=3D"_1424767338"> </o:OLEObject> </xml><![endif]--><span style=3D'mso-spacerun:yes'> </span><br> <br> zjistíme poněkud nerealistickou hodnotu nutné decelerace. Dlužno připomenout, že takto konstruovaná brzdn&aacut= e; dráha (dráha, na níž klesne rychlost na nulu po čase <i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:= 14.0pt'>t<sub>dec </sub></span></i>) má poloviční délku proti vzdálenosti, ve které vozidlo začne decelerovat: (dr&aac= ute;ha ujetá za čas <i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.0pt'>t<sub>dec</sub></span></i> konstantní rychlostí)<br> <span style=3D'position:relative;top:15.0pt;mso-text-raise:-15.0pt'><!--[if= gte vml 1]><v:shape id=3D"_x0000_i1029" type=3D"#_x0000_t75" style=3D'width:173.25pt;height:39= .75pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image013.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D231 height=3D53 src=3D"siegloch_ino_soubory/image014.gif" v:shapes=3D"_x0000_i1029"><![endi= f]></span><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1029" DrawAspect=3D"Content" ObjectID=3D"_1424767339"> </o:OLEObject> </xml><![endif]--><br> <br> Brzdná dráha má poloviční délku, než je vzdálenost nadřazeného vozidla pro časový odstup <i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.0pt'>t<sub>dec</sub></span></i>.</p> <p class=3DMsoNormal style=3D'margin-left:36.0pt;text-indent:-18.0pt;mso-li= st:l0 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'mso-list:Ignore'= >a)<span style=3D'font:7.0pt "Times New Roman"'>      </spa= n></span><![endif]>Pokud bychom měli naplnit úvodní předpoklad, že nadřazené vozidlo zabrání kolizi, měli bychom k dispozici čas dvakrát vetší. Potom by brzdná dráha byla stejná jako vzdálenost nadřazeného vozidla při zahájení decelerace:= <br> <span style=3D'position:relative;top:12.0pt;mso-text-raise:-12.0pt'><!--[if= gte vml 1]><v:shape id=3D"_x0000_i1030" type=3D"#_x0000_t75" style=3D'width:118.5pt;height:36p= t' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image015.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D158 height=3D48 src=3D"siegloch_ino_soubory/image016.gif" v:shapes=3D"_x0000_i1030"><![endi= f]></span><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1030" DrawAspect=3D"Content" ObjectID=3D"_1424767340"> </o:OLEObject> </xml><![endif]--><br> <br> Rovněž decelerace bude mít jinou, docela realistickou, hod= notu – poloviční proti výše uvedené:<br> <br> <sub><span style=3D'position:relative;top:14.0pt;mso-text-raise:-14.0pt'><!= --[if gte vml 1]><v:shape id=3D"_x0000_i1031" type=3D"#_x0000_t75" style=3D'width:158.25pt;height:39= pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image017.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D211 height=3D52 src=3D"siegloch_ino_soubory/image018.gif" v:shapes=3D"_x0000_i1031"><![endi= f]></span></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1031" DrawAspect=3D"Content" ObjectID=3D"_1424767341"> </o:OLEObject> </xml><![endif]--><br style=3D'mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style=3D'mso-special-character:line-bre= ak'> <![endif]></p> <p class=3DMsoNormal style=3D'margin-left:36.0pt;text-indent:-18.0pt;mso-li= st:l0 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'mso-list:Ignore'= >b)<span style=3D'font:7.0pt "Times New Roman"'>      </spa= n></span><![endif]>Další možný výklad, který se nabízí, je t= en, že jde o čas potřebný pro průjezd vozidla podřazeného proudu. Tento čas by pak ale nebyl závislý na rychlosti nadřazeného vozidla a naopak= by měl vycházet z akcelerace podřízeného vozidla a z délky dráhy i z tvaru trajektorie (oblo= uk o malém poloměru projíždíme pomaleji). </p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal>Vztah uvedený v TP188 pro určen&iacut= e; <i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.0pt'>t<sub= >g</sub></span></i> v závislosti na rychlosti má celkem rozumnou přímou interpretaci. Jeho základem jsou hodnoty založené na empirických poznatcích o chování řidičů na křižovatce. Lze věřit, že zajišťuje bezpečnost v tom smy= slu, že mezera je dost velká, aby vozidlo na hlavní v případě potřeby dokázalo zastavit a nenarazilo do vozidla z vedlejší.</p> <p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.0pt'>t<sub>g</sub></span></i> nezohledňuje dráhu vozidla z vedlejší, jeho rychlost a rozmě= ;ry. Lze mít zato, že tyto vlastnosti jsou částečně zohledněny v <i style=3D'mso-bidi-font-= style: normal'><span style=3D'font-size:14.0pt'>t<sub>f</sub></span></i></p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l1 level1 lfo2;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.0pt'>t<sub>f</sub></span></i> následný časový odstup [s] je doba mezi průjezdy jednotlivých vozidel podřízeného dopravního proudu – předpokládá se, že má konstantní hodn= otu. To neodpovídá přesně realitě ani simulac&iacut= e;m, ale pro malé počty (blízké jedné) vozidel, která projedou, a kvůli podstatně větší nejistotě u ostatních předpokladů to nemá žádný praktický negativní dopad. Inverzní hodnotou tohoto odstupu je maximální intenzita (kapacita) odjezdů vozidel z podřízeného proud= u, pokud by nebyla omezena křižováním nadřízených proudů (na nadřazených prou= dech by byla nulová intenzita). <br> <sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1032" type=3D"#_x0000_t75" s= tyle=3D'width:84pt; height:57pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image019.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D112 height=3D76 src=3D"siegloch_ino_soubory/image020.gif" v:shapes=3D"_x0000_i1032"><![endi= f]></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1032" DrawAspect=3D"Content" ObjectID=3D"_1424767342"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l1 level1 lfo2;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]><i style=3D'mso-bidi-font-style:normal'>I<su= b>H</sub> </i>je intenzita na nadřazených proudech</p> <p class=3DMsoNormal>V minulé přednášce byl objasněn pravděpodobnostní základ vztahu pro výpočet „základní kapacity proudu na křižovatce. Z výkladu však vyplývalo, = 82;e důležitý bude <i style=3D'mso-bidi-font-style:normal'>t<su= b>g</sub></i> kritický časový odstup [s]. <br> Vztah v TP188 a v ČSN však uvádí (ve shodě např. s německými předpisy) jako rozhodující časový interval (hledáme pravděpodobnost toho, že náhodná časová mezera bude mít zkoumanou nebo větší délku) nikoli <i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.= 0pt'>t<sub>g</sub></span></i>, ale čas <br> <sub><span style=3D'position:relative;top:12.0pt;mso-text-raise:-12.0pt'><!= --[if gte vml 1]><v:shape id=3D"_x0000_i1033" type=3D"#_x0000_t75" style=3D'width:84pt;height:45.75p= t' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image021.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D112 height=3D61 src=3D"siegloch_ino_soubory/image022.gif" v:shapes=3D"_x0000_i1033"><![endi= f]></span></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1033" DrawAspect=3D"Content" ObjectID=3D"_1424767343"> </o:OLEObject> </xml><![endif]-->. <br> <br> Krom toho zavedl Siegloch, který popisuje sofistikovanější postup určení potřebných časových odstupů, ještě čas označený <i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:14.0pt'>t<sub>0</sub></span></i>. </p> <h3>Siegloch – postup určení časových odstupů</h3> <p class=3DMsoNormal><a href=3D"http://www.fce.vutbr.cz/PKO/holcner.p/CM04/nerizKr/AKCELIK.pdf">P&#= 345;ehled o modelech</a> využívajících „akceptaci časových mezer“ uvádí na stranách 14 až 15 Sieglochův postup určení časových o= dstupů, ze kterého plyne využití kritické mezery, jak ji používá TP188. Brilon popisuje Sieglochův model v kapitole 2 svého <a href=3D"http://www.fce.vutbr.cz/PKO/holcner.p/CM04/nerizKr/brilon.pdf">= 9;lánku</a> o určení časových odstupů.</p> <p class=3DMsoNormal>Siegloch předpokládá a pro měření požaduje na podřízeném prou= du frontu čekajících vozidel (saturované podmínky). Postup určení je následující:</p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l2 level1 lfo6;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]>po celou dobu měření je nezbytné, aby na podřízeném pruhu čekala vozidla, vždy nejméně jedno v každém okamžiku, nesmí při měření nastat stav, k= dy by časová mezera umožnila průjezd, ale žádné vozidlo by nečekalo na odjezd</p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l2 level1 lfo6;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]>zaznamenávejte počty vozidel <i style=3D'mso-bidi-font-style:normal'>n</i>, která projela v jedné mezeře nadřazeným proudem a měřte délku každé mezery, zaznamenávejte údaje i o mezerách, kterými neprojela žádná vozidla – <i style=3D'mso-bidi-font-style:no= rmal'>n=3D0</i></p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l2 level1 lfo6;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]>spočítejte průměrnou hodnotu časové mezery pro počty projetých vozidel <i style=3D'mso-bidi-font-style:normal'>n=3D0, 1, 2, 3, …</i> a vyneste = tyto průměrné hodnoty časové mezery pro každý počet projetých vozidel, v obrázku jsou tyto hodnoty označeny kroužkem</p> <p class=3DMsoNormal style=3D'margin-left:14.15pt;text-indent:-14.15pt;mso-= list: l2 level1 lfo6;tab-stops:list 14.15pt'><![if !supportLists]><span style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa= mily: Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "= Times New Roman"'>      </span></span></span><![endif]>proveďte lineární regresi= pro tyto průměrné časové odstupy (aproximujte závislost velikosti mezery a počtu projetých vozidel přímkou)</p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal>Pak platí, že <i style=3D'mso-bidi-font-st= yle: normal'>t<sub>f</sub></i> následný časový odstup představuje směrnici aproximující přímk= y, v obrázku pak je názorně vykresleno, jaký je jeho přímý význam – pro dva sousedící počty vozidel n+<st1:metricconverter ProductID=3D"1 a" w:st=3D"on">1 a</st1:metricconverter> n (třeba <st1:= metricconverter ProductID=3D"3 a" w:st=3D"on">3 a</st1:metricconverter> 4) je to rozd&iacut= e;l odpovídajících časů <i style=3D'mso-bidi-fon= t-style: normal'>t<sub>f</sub>=3D t<sub>n+1</sub>-t<sub>n</sub></i>. </p> <p class=3DMsoNormal>Závislost je popsaná rovnicí </p> <p class=3DMsoNormal><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1034" t= ype=3D"#_x0000_t75" style=3D'width:93.75pt;height:27.75pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image023.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D125 height=3D37 src=3D"siegloch_ino_soubory/image024.gif" v:shapes=3D"_x0000_i1034"><![endi= f]></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1034" DrawAspect=3D"Content" ObjectID=3D"_1424767344"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>t<sub>0</sub><= /i> určuje bod, kde lineární závislost protíná časovou osu. </p> <p class=3DMsoNormal><o:p> </o:p></p> <h3>Proč se nepoužívá pro výpočet tg?</= h3> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal>Časté označení </p> <p class=3DMsoNormal><sub><span style=3D'position:relative;top:12.0pt;mso-t= ext-raise: -12.0pt'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1035" type=3D"#_x0000_t7= 5" style=3D'width:85.5pt;height:45.75pt' o:ole=3D""> <v:imagedata src=3D"siegloch_ino_soubory/image025.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D114 height=3D61 src=3D"siegloch_ino_soubory/image026.gif" v:shapes=3D"_x0000_i1035"><![endi= f]></span></sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1035" DrawAspect=3D"Content" ObjectID=3D"_1424767345"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal>jako <i style=3D'mso-bidi-font-style:normal'>zero gap<= /i> implikuje představou takové mezery, do které se už neodváží žádné auto, nikoli průměrné auto. </p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal>Excelový graf pro ilustraci Sieglochova postupu – <a href=3D"http://www.fce.vutbr.cz/PKO/holcner.p/CM04/nerizKr/TP188= .xls">zde</a> </p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal><!--[if gte vml 1]><v:shape id=3D"_x0000_i1036" type= =3D"#_x0000_t75" style=3D'width:453pt;height:358.5pt'> <v:imagedata src=3D"siegloch_ino_soubory/image027.png" o:title=3D"siegloch= "/> </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D604 height=3D478 src=3D"siegloch_ino_soubory/image028.jpg" v:shapes=3D"_x0000_i1036"><![endi= f]></p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal>Uvedené <i style=3D'mso-bidi-font-style:normal'= >t<sub>g</sub></i> je průměrnou hodnotou potřebnou pro průjezd jednoho vozidla. Pokud však uvažujeme o pravděpodobnosti, musí= ;me si uvědomit, že existují pouze celé počty vozi= del, která projedou, tedy 0, 1, 2, …n, … – tedy pouze celá čísla, nikoli reálná čísl= a. Potom si můžeme výše uvedený grafu upřesn= it takto:</p> <p class=3DMsoNormal><!--[if gte vml 1]><v:shape id=3D"_x0000_i1037" type= =3D"#_x0000_t75" style=3D'width:539.25pt;height:426.75pt'> <v:imagedata src=3D"siegloch_ino_soubory/image029.jpg" o:title=3D"siegloch= _pravdepodob"/> </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D719 height=3D569 src=3D"siegloch_ino_soubory/image030.jpg" v:shapes=3D"_x0000_i1037"><![endi= f]></p> <p class=3DMsoNormal>Potom:</p> <p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>t<sub>0</sub><= /i> představuje „průměrnou“ hodnotu pro průjezd nula vozidel</p> <p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>t<sub>g</sub><= /i> představuje „průměrnou“ hodnotu pro průjezd jednoho vozidla</p> <p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>t<sub>c</sub><= /i> pak představuje průměr mezi <i style=3D'mso-bidi-font-style:norm= al'>t<sub>0</sub></i> a tg. Když uvažujeme o pravděpodobnosti průjezdu celého počtu vozidel, musíme jako rozhodujíc&iacu= te; brát délku časového intervalu <i style=3D'mso-bid= i-font-style: normal'>t<sub>c</sub></i> jako průměru mezi <i style=3D'mso-bidi-= font-style: normal'>t<sub>0</sub></i> a <i style=3D'mso-bidi-font-style:normal'>t<sub>g= </sub></i>. </p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>t<sub>g </sub>= </i>je pak pro požadovaný pravděpodobnostní výpočet nevhodné, přestože představuje průměrnou délku časového intervalu pro projetí jednoho vozidla. </p> <p class=3DMsoNormal>Je nutno počítat „spravedlivě&#= 8220; se střední hodnotou mezi <i style=3D'mso-bidi-font-style:normal= '>t<sub>0</sub></i> a <i style=3D'mso-bidi-font-style:normal'>t<sub>g</sub></i> </p> <p class=3DMsoNormal><o:p> </o:p></p> </div> </body> </html> ------=_NextPart_01CE20AA.BC744A30 Content-Location: file:///C:/8CB1322F/siegloch_ino_soubory/image001.wmz 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