User`s Manual for Interactive Sloan \(Arterial Case\)
Contents
1. B 800 lt lt lt lt c a we de e r 600 H 75 me lt s an maae 2 lt t e e T o 59 CYCLES 27 INROUND SOLUTION BRAR INBOUNI BANDWIDTH CYCLES BRAR 32 OUTFUT 1 TABLE ONLY 2 FLOT ONLY 3 BOTH ST RED START OF CYCLE SIG INMAN PROSPECT COLUMBIA WINDSOR CYCLE 1 04 94 256 54 2 1 04 1 94 1 56 1 54 z 2 04 2 94 2 56 2 54 ENI REI ENT OF RED CYCLE S16 INMAN PROSPECT COLUMBIA WINDSOR CYCLE 1 44 1 54 292 94 2 1 44 2 54 1 92 1 94 3 2 44 3 54 2 92 2 94 ST GEO START OF GREENTAND END OF GREENBANEI ST ADU ST GE PLUS BAHDUIUTH ADVANCE END ADU 6 PLUS GREENDANI SIG INMAN PROSPECT COLUMEIA WINDSOR ST GE 44 O2 296 1 14 END GE 76 94 28 1 46 ST ADV 44 262 296 1 14 ADV 276 94 1 28 1 46 CAU6SF AVERAGE SPEED IN GREENDAND CKMZHR SIG FROSFECT COLUMBIA WINDSOR PORTLAND AVGSF 45 49 43 89 42 40 41 01 FILE CREATED 10 11 79 19 15 24 COMMENT PLOT FOR 3 CYCLES 28 4 PORTLANT 0 00 1 00 2 00 PORTLAND 48 1 48 2 48 PORTLAND 1 48 1 79 1 48 1 79 gt FROM FREUIOUS SIGNAL TO SIGNAL Sorry this page is unavailable to Free Members You may continue reading on the following page E _ Upgrade your Forgotten Books Membership to view2. HD28 M414 no 1177 80 ure Thomas A and assumpt 0 ji 028 414 no 1178 80 01 445 Steele Maehe User s manual for inter 145 ms NM 3 9020 00 028 414 1179 80 Katz Ralph S influence of group x BK BET 3 10 80 002 28 4 14 1180 81 UM mI 3 90 041 934 028 414 no 1181 81 Tene effects of collecti 2627 E 3 995 2L7 HD28 M414 no 1182 81 TAA cower ils m TN 1 ili Wii 01 245 H028 M414 no 1183 81 Lattin James T scaling Alt 001 995 46D MENT ss C E
3. BANDUIDTIH ADVANCE 1 DEFAULT 0 2 NEW VALUES 1 23 Ens FOR OUTBOUND SIGNAL P ONG FOR EACH PRINT STNAMEE ARTERY NAME STNAME EROAIDMAY NSIG NUMBER OF SIGNALS NSIG 5 1102 LOUER LIMIT ON CYCLE TIME SEC T2 UFPER LIMIT ON CYCLE TIME SEC Ti 80 T2 100 GO OUTBOUND HISTANCE FROM PREVIOUS SIGNAL TO SIGNAL METERS GIESSPEEDO QUTBROUNE ESIGN 3 TLE QUTEOUND DESIGN 6 ZENS KMZHRO GREEN OUTBOUND GREEN TIME OF CYCLE EL OUTEOUND LEFT TURN GREEN FRACTION TAU OUTROUNT BANDWIDTH ADVANCE FRACTION OF CYCLE 16 H BESSPEED TLP CS GREEN PORTLAND NA NA NA NA 525 WINDSOR 505 45 NA or COLUMBIA 168 45 5 2 6375 PROSPECT 335 4S 9 2 4 INMAN 133 45 s 2 6 24 1 TOLERANCES CE LIMITS ON CHANGE IN OUTBOUND SPECE FROM PREVIOUS RMZHRO OF CYCLE ooooort LINK RM HR TAU e OOOO EME SOLVE MAXIMUM NUMBER OF ITERATIONS NC TO USE THE HEFAULT SETTING OF 100000 ITERATIONS IS THIS A RESTART OF A PREVIOUS RUN GIIFF1 CPU SECONDS USED DURING THE MATRIX GENERATOR HIFFA 26 71 OFTIMIZATION FINISHET DIFF2 CPU SECONDS USED DURING THE OPTIMIZATION DIFF2 29 298 THE MAXIMUM NUMBER OF ITERATIONS HAS BEEN REACHED IH THE BRAHCGU ANTE BOUN ALGORITHM A NODE HAS BEEN PUNCHED SO THAT YOU MAY RESTART THE PROGRAM Node is actually ME SOLVE written to disk MAXIMUM HUMBER OF ITERATIONS
4. 5 Actual ratio will be target ratio unless larger band width 15 at its limit and smaller can be further increased in which case it will be 12 If only outbound has ie t tur phases fill in a and c if only inbound a and b Other columns are 0 MAXBAND Symmetric Artery i D 1 of artery Prog dway Cam budge Ya Number of signals _ ee ERS SLD SLA S1 8 2 Cycle tine Lower limit lt seconds Upper limit seconds 3 Speed Design center mph Tolerance mph 4 5 6 Distance fron Green Signal previous time nane signal fraction down meters of outbound feet cycle 1 Qa land 2 Windsor 3 Colombia 4 Prospect 5 Taman 14 l 1 H i 15 Notes by item number 3 If no tolerance is specified 10 of design speed is assumed A limit on change of speed between signals equal to the tolerance is assumed Page 1 MAXBAND General Artery 1 Name of artery UJ i Co Su Ave Aa shade D C Kumber of signals i 2 Cycle time Lover liait lo seconds Upper limit O seconds 3 Target ratio of inbound to outbound band vidth i O 4 Maximum number of iterations l OUTBOUND DATA 9 Limit on 7 outbound 6 Outbound 8 speed 02 Outbound design Outbound change Outbound distance speed speed from 10 11 band 5 fron from tolerance previous Thru Left turn advance Signal previous previous in
5. Upper limit seconds kph n kph 3 Outbound speed Design center mph Tolerance mph kph kph 4 Inbound speed Design center nph Tolerance mph 5 Target ratio of inbound to outbound band width 02 Acceptability of Left Turn Patterns 1 accentable O not 0 8 G an Outbound LT Outbound LT Distance Thru Thru Left turn Left turn before green after green 6 from green green green green and and Signal previous outbound inbound outbound inbound inbound inbound inbound inbound nane signal fraction fraction LT before LT afterjLT before LT after dovn neters of of green green green green outbound feat cycle 1 Kotes by item nuaber 3 4 If no tolerance specified 2107 is assumed as a default limit on change in speed between signals equal to the tolerance is assumed 5 Actual ratio will be target ratio unless larger band width is at its limit and smaller be further increased which case it will be 12 If only outbound has lefc turn phases fill in a and c I only inbound a and b Other colunns are 0 42 MAXDAND Symmetric Artery 1 Name of artery Number of signals 2 Cycle tine Lower limit seconds Upper limit seconds un kph 3 Speed Design center mph Tolerance mp 4 5 6 Distance from Green Signal previous time name signal fraction down meters of outbound feet cycle 1 XXXXXXX
6. fi pi 3 CYCLZS CR 39 DIFT3 CPU SECONDS USED DURING THE OUTPUT ROUTINE DIFFS 114 82 WALTMAN DATABASE COMMENT MAIN STREET WALTHAM EXAMPLE Save on disk file GE 1 CAE TLE CREATED 12 05 59 13 53 20 COMMENT STREET WALTHAM EXATPLE D gt QUIT Automatic update Restore data BESE UPDATED C gt LO Leave PRIME TLITTLE 2 LOGGED OUT 6T 13 55 80 10 03 2 lt 6 US 1 93 HOURS LOCAL PROJECTSMATT gt 40 REFERENCES Land A and Powell S Fortran Codes for Mathematical Programming London John Wiley and Sons 1973 Little John C The Synchronization of Traffic Signals by Mixed Integer Linear Programming Operations Research Vol 14 No 4 July August 1966 pp 568 594 Little John C Maximal Bandwidth for Arterial Traffic Signals Theory and Interactive Computation Massachusetts Institute of Technology Alfred P Sloan School of Management Working Paper WP 970 78 September i977 Little John D C and Kelson Mark D Optimal Signal Timing for Arterial Signal Systems Report for Federal Highway Administration Under Contract DOT FH 11 9562 April 1980 Rizzi W D An Interactive Program for Setting Traffic Signals on an Artery S B thesis M I T May 1977 41 APPENDIX MAXBAND Standard Artery 1 Name of artery Number of signals 2 Cycle tine Lower limit seconds
7. lt CR gt CEND RED END OF RED CYCLE CYCLE 1 3 4 5 SIG LINDEN S6 1 56 8 66 3 55 4 56 NEWTON 1 01 2 61 3 01 4 01 6 03 LATIAN 45 1 45 e lt S 3 45 4 45 RPPLETON 1 21 2 2 3 21 4 21 5 21 ELM 1 23 2 23 3 23 4 03 5 23 LEXIHGTO 1 23 2 23 3 23 4 23 5 23 MOODY 1 62 ea 3 62 4 62 5 62 EXCHANGE 1 16 16 3 16 4 16 5 16 BACON 1 39 2 39 3 39 4 39 5 39 PROSPECT 1 11 2 11 3 11 4 11 5 11 BANKS 46 1 46 2 46 3 46 4 46 MAKE HARD COPY CIF DESIRED THEN HIT RETURN TO CONTINUE SCREEN WILL THEN BE ERASED gt CR ST GB START OF GREENBAND END GB END OF GREENBAND ST ADV ST GB PLUS BANDWIDTH SDUANCE CEND ST ADV PLUS GREENBAND SIG ST GB END GB ST GDJ ERD AD LINDEN 56 89 56 9 NEWTON 1 22 1 46 1 22 3 26 LYMAN 1 45 1 6 4 45 1 69 APPLETON 1 72 1 95 1 72 1 56 ELM 2 83 2 47 2 23 2 47 LEXINGTO 2 38 2 61 33 e G1 2 62 2 06 2 62 2 28 EXCHANGE 3 16 3 40 3 16 3 4 BACON 3 64 3 89 3 64 3 83 PROSPECT 4 31 4 55 4 31 4 55 BANKS 4 76 4 76 5 62 MKE HARD COPY CIF RESTREN THEN RIT RETUSH TO CONTINUE SCREEN WILL THEN EE ERASED ccu n AVERAGE SPEED IH GREENBAND FROM PREVIOUS SIGNAL TO SIGNAL KMHR SIG AUGSP NEWTON 29 17 LAMAN 27 99 APPLETON e Go ELM 29 88 LEXINGTO 29 17 g O9 EXCHANGE 27 oo BACON 25 52 PROSPECT 39 25 BANKS 33 02 FILE CREATED 10 11 79 19 10 13 COMMENT PLOT FOR S CYCLES gt NAM 4M 3 e eoo CR 520 o d
8. BREAK key will throw you out of EXPRESS The variables will be left at what their values were at the last UPDATE However if the user hits the BREAK key by accident one can recover by typing START lt er gt lt gt as the first command after the BREAK The program will be restored in EXPRESS at the exact place it was before the BREAK key was hit 19 SECTION 3 12 Leaving the PR1ME Once one leaves EXPRESS via an EXIT QUIT or BREAK key one simply types LO lt cr gt to log off the machine Then disconnect the telephone and turn off the terminal If using a plotter be sure to turn off the hard copy unit too 20 Sorry this page is unavailable to Free Members You may continue reading on the following page E _ Upgrade your Forgotten Books Membership to view this page now with our 7 DAY FREE TRIAL Start Free Trial Memberships can be cancelled at anytime EXAMPLE 1 USER TYPING IS UNDERLINED losin Please gt gt means you at PRIME operating GREATER EERE ESS system level PRIMOS Version MDS 18 0 2 L7LITTLE 5 LOGGED IN 15 58 80 12 01 PROJECT YOU CAN NOW PRINT FILES USING EITHER THE PRINT OR THE SPOOL COMMAND CCo TTY CHA LLANE O 2 CISS LOAN COMPLETE LOAN COMPLETE COMPLETE Already exists load over existing entry ignored FGERX LOAN COMPLETE Entering EXPRESS and bringing in MAXBAND W
9. NC TO USE THE DEFAULT SETTING OF 100000 ITERATIONS FRE IS THIS A RESTART OF A PREVIOUS RUN YES OPTIMIZATION FINISHED gt DIFF2 SECONDS USED DURING THE OPTIMIZATION nIFF2 63 22 OUTPUT VALUES IN METRIC UNITS ZOUT CYCLE TIME SEC ZOUT 80 00 OUTROUND SOLUTION B OUTBOUND BANDWIDTH CYCLES B 452 25 OUTPUT 1 ST REID CENT RETI SIG CYCLE ST GB END GE GT AY CENT ALY SIG ST GR END GR ST ALY ADV CAVGSP SIG AVGSF FILE CREATED M COMMENT FLOT FOR 3 CYCLES TABLE ONLY 2 PLOT ONLY 3 START OF RED CYCLE FORTLANTD 0 00 1 00 2 00 ENII FORTLANI 48 1 48 2 48 WINDSOR 34 1 54 2 54 OF CYCLE WINDSOR 94 1 94 2 94 COLUMBIA 56 1 56 2 956 COLUMBIA 92 1 92 2 92 START OF GREENPRBANI OF GREENBAND ST GE PLUS BANOWIUTH ADVANCE STAY FLUS GREENBAND FORTLANTI 68 1 00 amp 8 1 00 AVERAGE WINDSOR 41 01 10 1 WINDSOR 1 02 1 33 1 02 1 33 IM COLUMEIA 42 40 1 79 19 COLUMETA 1 19 1 51 1 19 1 51 GREENBAND FROSFECT 43 89 BOTH 4 NEITHER 3 PROSPECT INMAN 094 04 1 94 1 04 2 94 2 04 PROSPECT INMAN 1 94 444 2 54 1 44 5 94 2 44 FROSFECT INMAN 1 54 1 22 1 86 2 04 1 54 1 72 1 86 2 04 FROM FREVIQUS SIGNAL INMAN 45 49 26 TO SIGNAL Bands are hand drawn lt wi Sema lt lt 4
10. minicomputer The program couid be located at the Sloan School of Managemen cr implemented on any facility which supports EXPRESS for example the TYMSHARE 184 370 nezwork which currently offers EXPRESS on national basis 1 Arterial geometry 2 Signal splits 3 Range of acceptavle cycle lengths 4 Ranges of acceptable speeds 5 Left turn phasing pattern h 2 0 4 H iw ct D fai Outputs include 1 Bandwidth in each direciion 2 Cycle length 3 Beginning and ending times of splits and greenband st each signal H Speeds on links 5 Space time diagrams It is recommended that problems with 10 or less signals be run on on line while larger problems up to 15 signals should be run under o o p ct n 2 Iz o batch operations s takes several hours to solve such problems on the PRIME Batch operations require documentation not provided in this manual To obtain such documentation contact the East Campus cr Computing Facilty at the Sloan School of Management Anyone who would like to solve a problem on an experimental basis should contact John D C Little at the Sloan School of Management M I T Cambridge MA 02139 617 253 3738 CHAPTER 2 Inputs Most users will not require the full generality of the program Therefore a standard problem will be defined as one that 1 has a single outbound design speed and associated tolerance and a
11. single inbound design speed and tolerance 2 has the limit on speed change from one link to the next fixed at 10 per cent of the design speed and 3 has no band advances for queue clearance in either direction at any signal symmetric problem will be defined as one in which all the inbound data is exactly the same as the outbound data hence the program only asks for the outbound data general problem has no limitations on any of the inputs The following few pages contain filled out input forms for a symmetric case a standard case and a general case Chapter 4 gives complete traces for running the first two of these problems Blank input forms for all cases appear in Appendix A The computer starts by asking for the following information which the user provides as applicable Artery name System of units Metric or English Number of signals Signal names Type of system asymmetric or symmetric Outbound distance between signals Cycle time range Outbound design speed Outbound tolerance on design speed Outbound limit on speed change from previous link Outbound red green splits Outbound band advance for queue clearing if applicable If the user has indicated a symmetric case the input is finished Otherwise standard or general case he provides the following additional data as applicable Inbound distance between signals Inbound design speed Inbound tolerance on design speed Inbound limit on speed chang
12. 7 link green green for for queue name signal signal outbound outbound clearance down meters kph kph 52 fEraction raction l outbound e of cycle of cycle of cycle 1 Wiscon 2 UJ SA 2 3 D xxxxxx j QR c Ul 23 22 2263 o eo Z4 3 22 2 22 5429 DENS 2 22 22 OU coa amp Lo 24 14 2 22 3 22 sUiseno wol 2 22 3 22 AM e Wiscong 242 wisn 29o 10 26 11 B52 gwisc 99 241 00809212 229 Ae meo 14 UJ scan ME 2345 2 15 ise iS 199 Kotes by item number 3 Actual ratio will be target ratio unless smaller band can be further iacreased after larger has reached its limit 4 Default 10 000 7 Default is all speeds equal 8 Default is 101 el design speed 9 Default is speed tolerance ot 8 Jaja F page 2 General Artery cont 13 Name of Artery 5 Corsa Ave Was hung sa D C ee INBOUND DATA 18 Limit on inbound 15 17 speed 21 4 Inbound Inbound change 20 Inbound Signal Distance 16 speed from 19 Left turn band name from Inbound tolerance previous Thru green advaace down previous design in 16 link green for for queue outbound s gnal speed _ inbound inbound clearance same as meters ia kph kph j od 2 1 et of cycle of cycle of cycl
13. 75 Z S EFS 6885 75 8875 4625 GS DO VOU WANT ANY GUTBOUND LEFT TURN GLEN TIME DYES OUTBOUND LEFT TURN GEEN TIME FRACTION OF CYCLES space between each SIG BANKS gt 10 43275 0 0 275 275000 in the Fist INBOUND GREEN TIME FRACTION OF CYCLE For negative num SIG BANKS gt 5375 4375 575 75 2 5 2075 2875 75 5875 4625 45 bers DO YOU WANT ANY INBOUND LEFT TURN GREEN TIE 2 NO Gone BANDUIDTH ADVANCE requirec 1 DEFAULT 200 2 NEY VALUES gt 1 DESIRED RATIO OF INBOUND TO OUTBOUND CREENSANDS gt LOFT TURN PATTERN SELECTION FOR EACH SIGNAL PATTERNS 10 OUTEOUND LEFT TURN BEFORE GREEN AND INDOUND LEFT TURN BEFORE GREEN 2 OUTBOUND LEFT TURN BEFORE GREEN ANO INZOUND LEFT TURN AFTER GREEN 3 OUTBOUND LEFT TURN AFTER GREEN AND INDOUND LEFT TURN BEFORE GREEN 43 OUTBOUND LEFT TURN CF TER AND INBOUND LEFT TURN AFTER GREEN FOR EACH SIGNAL BELOW ONE 1 IF YOU UANT THE PATTERN CUESTION TO BE CONSIDERED AND ZERO O IF YOU DO NOT WANT THe PATTERN IN QUESTION TO BE CONSIDERED LEFT TURN PATTERN FORMING MATRIX SIG BANKS PAT 1 gt 1 PAT 29 PAT 3 gt 1 PAT 4 gt LEFT TURN PATTERN FORMING MATRIX SIG BACON PAT 1 51010 LEFT TURN PATTERN FORMING MATRIX SIG LEXINGTO PAT 1 010186 LEFT TURN PATTERN FORMING MATRIX SIG ELM PAT 2 gt O 1 O LEFT TURN PATTERN FORMING MATRIX SIG LINDEN i 91016 gt dina gt PRINT CSTNA
14. 8 2 42 2 18 2 42 2 71 2 94 2 71 2 94 2 95 3 19 2 95 3 19 3 19 3 23 3 10 2 33 3 5 3 81 3 57 3 81 3 80 4 64 4 94 4 01 4 25 4 01 4 85 4 59 4 83 4 59 4 83 THEN HIT RETUCN CR 365 d 3 U AA hhb bi bh h b CONTINUE SCREEN UILL ATAGAANGUG A 5 99 55 SS 91 94 61 SS 4 47 C1 31 11 25 16 9S 96 81 45 91 25 HIT RETURN TO CONTINUE SCREEN WILL Sorry this page is unavailable to Free Members You may continue reading on the following page E _ Upgrade your Forgotten Books Membership to view this page now with our 7 DAY FREE TRIAL Start Free Trial Memberships can be cancelled at anytime IMEOUND SOLUTION CBRBOR INBOUND BANDWIDTH CYCLES BRAR 24 OUTPUT 1 TABLE ONLY 2 PLOT ONLY 3 BOTH 4 NZITFZR MAKE HARD COPY IF DESIRED THEM HIT RETURN TO CONTIMUE SCREEN WILL THEN BE ERASED gt Cg CST RED START OF RED CYCLE CYCLE 1 2 3 4 5 SIG LINDEN 01 1 01 2 01 3 01 4 01 NEWTCN 47 1 47 2 4 3 47 4 47 LYTIAN 2 04 2 64 3 04 4 04 APPLETON 35 1 98 2 95 3 05 4 95 ELM 52 1 2 58 3 62 4 e2 LEXINGTO 51 1 61 e G1 3 G1 4 61 moonv 94 i 34 2 94 3 94 4 94 EXCHANGE 92 1 91 2 91 3 91 4 91 BACON 9G 1 95 S6 3 95 4 95 PROSPECT SS 1 55 2 55 3 65 4 55 BANKS 0 00 1 02 2 62 3 09 4 03 MAKE HARD COPY IF DESIRED THEN HIT RETURN TO CONTINUE SCREEN WILL THEN BE ERASED gt
15. BOUND BATQXJIDTHM CYCLES B 24 OUTPUT 1 TABLE 8 PLOT ONLV 3 DOTH 4 NEITHER 23 MAKE HARD COPY CIF DESIRED THEN HIT RETURN TO CONTINUE SCREEN WILL THEN BE ERASED gt lt cn gt 35 ST RED Daia BANKS PROSPECT BACON EXCHANGE ao DY LEXINGTO ELM APPLETON LATION NEWTON LINDEN MAKE HARD COPY CIF DESIRED THEN BE ERASED gt CEND RED CYCLE TG BANKS PROSPECT BACON EXCHANGE LEXINGTO ELM APPLETON LYMAN NEWTON LINDEN MAKE HARD COPY CIF DESIRED THEN BE ERASED gt CST CEND GB ST ADU END ADU SIG BANKS PROSPECT Bacon EXCHANGE MOODY LEXINGTO ELM RPPLETON LYMAN NEUTON LINDEN MAKE HARD COPY CIF DESIRED THEN BE ERASED gt START OF RED CYCLE 1 e 3 4 0 00 1 52 2 03 3 09 ss 1 55 2 55 3 55 96 1 96 2 96 3 56 91 1 91 2 91 3 91 94 1 94 2 94 3 94 61 1 61 2 61 3 61 1 62 3 62 96 1 96 2 55 3 58 84 1 04 2 24 3 24 47 1 47 2 47 3 47 01 1 01 2 01 3 01 THEN HIT RETURN CR END CF RED CYCLE 1 e 3 4 31 1 31 8 31 3 31 1 11 e 11 3 11 4 11 1 25 a 25 3 83 4 25 1 16 2 16 3 16 4 16 1 62 2 62 3 62 4 62 95 1 55 8 55 3 95 96 1 55 2 95 3 95 1 21 2 21 3 81 4 81 45 1 45 2 43 3 45 1 01 2 01 3 01 4 01 36 1 35 2 35 3 38 THEN lt CR gt END GREENLAND ST GB PLUS DANDWIDTH ADUANCE ST ADU PLUS GREENSAND ST GB END GB ST ADU END ADY 62 86 5 1 11 1 35 1 11 1 25 1 73 1 96 1 73 1 98 2 1
16. ELCOME TO THE MESSAGES ABOVE ARE ALL IRRELEVANT rnR iMPUT TO INCUT TRAFFIC DATA TYPE MEB FRIHT TO PRINT OUT INPUT TRAFFIC DATA TYPE MB SOLUE TO SOLVE PROBLEM AND PRINT OUT RESULTS TYPE ME OUTPUT TO SIMPLY PRINT QUT RESULTS OF PREVIOUSLY FPROLLEM NOTE MB SOLUD AUTOMATICALLY EXECUTES HR OUTPUT 22 MR INPUT gt means you are at EXPRESS level TRAFFIC ATA INPUT ARTERY HAME 2 1 METRIC SYSTEM 2 ENGLISH SYSTEM 71 NUMBER OF SIGNALS F SIGNAL NAMES SIG i SFORTLANG SIG TMIHESOR SIG COL UE A SIG AROSE YT SIG 5 INMAN 1 ASYMMETRIC 2 SYMMETRIC 72 OUTROUNT DISTANCE FROM FREYIOUS STONAL TO SIGNAL METERS SIG WINDSOR 7305 SIG vf SIG PROSPECT SIG INMAN 183 LOWER LINIT ON CYCLE TIME SEC gt 80 UPPER LIMIT ON CYCLE TIME SEC TOQ YOU WANT DIFFERENT DESIGN SF OUTPEOUND SPEED CKMZHR HESTON SPEED TOLERANCE 1 BEFAULT C 10X OF DESIGN 2 NEW VALUES 22 no YOU WANT N FOR 1 SIGNAL P HNO OUTBOUND DESIGN SPEEN TOI KMR SS LIMIT ON SPECK CHANGE FROM F TOUS 1 DEFAULT 10 OF DESIGN SPEEL NEW VALULS 22 ET PW tJ E TO YOU WANT DIFFERENT LIMITS ON SPEED CHANGE PROM PREUIOUS LINK SIGNAL NO LIMIT ON CHANGE IN QUTEOUND SPEED FROM PREVIOUS LINK KM ZHMROB2 OUTKOUNI GREEN TIME FRACTION OF CYCLE SIG P RTLANU 7 525 SIG WINDSOR SIG COLUMBIA SIG PROSPECT 7 4 SIG INMAN m
17. GL A SSSI REP eRe N TZ tome RIS USERS MANUAL FOR NTERACTIVE SLOAN ARTERIAL CASE hew D Steele Forgotten Boos USERS MANUAL FOR NTERACTIVE SLOAN ARTERIAL CASE by Matthew D Steele Published by Forgotten Books 2013 PIBN 1000880628 www ForgottenBooks org Copyright 2013 Forgotten Books Forgotten Dooks eBook Terms amp Conditions www forgottenbooks org 1 This eBook may be a Distributed without modification or sale b Copied for personal and educational use c Printed for personal and educational use 2 This eBook may NOT be a Sold individually or as part of a package b Modified in any way c Reversed engineered This eBook and all its content including images are Copyright O 2014 FB amp c Ltd All rights reserved Forgotten Books is a registered trademark of FB amp c Ltd FB amp c Ltd Dalton House 60 Windsor Avenue London SW19 2RR Company number 08720141 Registered in England and Wales eBook refers to this PDF and any of its content including pages and images in either electronic or printed form The paperback edition of this book can be purchased from amazoncom 7 amazon co uk a MS amazon de i amazon fr wee pube amazonit wass Over 1 000 000 eBooks are available to read at S Forgotten Books www forgottenbooks org 484 473 eBooks are avallable to read at Forgotten H
18. IMNPUT TRAFFIC DATA INPUT ARTERY SMAIN_ STREET MWaLTHen 1 METRIC SYSTEM 2 ENGLISH SYSTEM gt 4 NJMEEI OF SIGNALS gt 11 SIGNAL Tees SIG 1 gt BANKS_ SIG 2 PROSPECT SIG 3 gt BACON T SIG 4 EXCHANGE SIG 5 HOODY TT SIG 6 gt LE 1 SIG 7 gt ELM SIG 8 gt SPPLETON SIG 9 LYMAN SIG 10 ONGCUIOM SIG 11 LINDEN 1 ASYMMETRIC 2 SYMMETRIC 21 OUTBOUND DISTANCE FROM PREVIOUS SIGNAL TO SIGNAL METERS SIG PROSPECT gt 247 SIG BACON 5337 SIG EXCHANGE gt 230_ SIG MOODY gt 244 SIG LEXINGTO 110 SIG ELM 272 i SIG APPLETON gt 253 SIG LYMAN 210507 SIG NEWTON gt 104_ SIG LINDEN gt 279 ARE INBOUND DISTANCES THE SAME GUTBOUND DISTANCES YES LOWER LIMIT ON CYCLE TIM SEC gt 69 EE UPPER LIMIT OM CYCLE TIME S2C gt 172 DO YOU WANT DIFFERENT DESIGN SPEEDS FOR ERCH OUTBOUND SIGNAL gt DO YOU WANT DIFFERENT DESIGN SPEEDS FOR EACH CUTBOUND SIGNAL Sepe DESIGN SPEED KML HR2 30 SIGN SPEED TOLERANCE i DEFAULT 810 OF DESIGN SPEED NEM VALUES 21 LIMIT ON SPEED CHANGE FROM PrREZUXCUS LING 1 DEFAULT 2105 OF DESIGN SPEED NEW VALUES gt 1 ARG INBOUND DESIGN SPEEDS AND TOLERANCES THE SAME AS OUTBOUND DESIGN SPEEDS AND TOLERANCES DYES ARE INSOUND LIMITS ON SPEED CHANGE FROM FxEVIOUS LINK THE SAME AS OUTBOUND LIMITS ON SPEED CHANGE FROM PREVICUS LINX gt 8 Short cut OUTBOUND GREEN TIME FRACTICN CF CYCLE input Tust SIG BANKS gt 6875 4375_ 7125
19. ME D ARTERY NAME STNANE MAIN STREET WALTHAM SIG NUMBER OF SIGNALS NSIG 11 CT1 LOWER LIMIT ON CYCLE SEC TE UPPER LIMIT ON CYCLE TIME STC T1 T 1e0 MAKE HARD COPY CIF DESIRED THEN HIT RETURN TO CONTINUE SCREEN WILL THEN ERASED gt DO OUTBOUND DISTANCE FROM PREVIOUS SIGNAL TO SIGNAL METERS DESSPEED OUTBOUND DESIGN SPEEDS KHR OUTBOUND DESIGN SPEED TOLERANCES KMKR CS LIMITS ON CHANGE IN OUTZOUND SPEED FROM PREVIOUS LINK KPM HR gt GREEN CUTBOUND GREEN TIME FRACTION CF CYCLE Mota that EL OUTBOUND LEFT TURN GREEN TIME FRACTION OF CYCLE TRU OUTBCUND BeNDUIDTH ADUANCE FRACTION OF CYCLE ANCE SALE this from 10 to SIG D DESSPEED TLP cs CREEN EL 15 due BANKS NA NA GETS 15 lt e to left PROSPECT 247 30 3 NA 4375 turn BACON 337 30 a 3 7185 1375 time EXCHANGE 220 3 3 275 avails MOODY 244 305 ability LEXINGTO 110 32 3 3 6525 L275 e 2 ELM 76 39 3 3 65 5 2275 e PPPLETGN 253 3 3 275 o LYMAN 125 32 3 3 E75 NEUTON 104 3 3 4625 9 e LINDEM 220 3e 3 3 65 2 e MAKE HARD COPY IF DESIRED THEN HIT RETURN TO CONTINUE SCREEN WILL THEN BE ERASED gt Cg DB amp 8R INBOLEID DISTANCE FROM PREVIOUS SIGNAL TO SIGNAL METERS gt DESPDS INBOUND DESIGN er a cci R TLPE INBOUND DESIGN SPEED ERANCES KM ER CSR LIMITS OM CHANGE IN I
20. NZCUND SPEED FROM PREVIOUS LINK CKM HR gt GREENBAR INDOUND GREEN TIME FRACTION OF CYCLE ELBE INBOUND LEFT TURN GREEN TIME FRACTION OF CYCLE CTARUBAR gt INBOUND SANDUIDTH ADVANCE FRACTICM OF CYCLE SIG DBAR DESF DB TLES CSB GREENBAR ELEAR TOBAR BARKS NA 5375 PROSPECT 247 3 3 1521 4378 e e BACON 33 s a 575 G EXCHANGE 230 39 3 3 275 244 39 3 3 325 E LEXINGTO 110 29 3 3875 ELM 78 3 3 3875 APPLETON 253 59 2 3 E 75 9 LYMAN 125 30 3 3 S875 e NEWTON 184 33 3 3 4525 LIHDEN 3 45 9 MAKE HARD COPY CIF DESIRED THEN HIT RETURN TO CONTINUE SCREEN WILL THEN BE ERASED gt lt CR gt 34 CPATCHOIC LEFT TURN PATTERN FORMING MATRIX PAT 1 3 4 SIG BANKS 1 PROSPECT BACON 1 1 EXCHANGE o 9 e o LEXINGTO i 9 1 e ELM 1 o 1 o APPLETON e LYTIAN o NEWTON e e o LINDEN 1 1 KK DESIRED RATIO OF INBOUND TO OUTEOUND GREENESNDS KK 1 MB SOLVE NUMBER OF ITERATIONS TYPE NC TO USC THE DEFAULT SETTING OF 1602229 ITERATIONS ONC IS THIS RESTART OF PREVIOUS RUM OND KDIFF1 CPU SECONDS USED DURING THE MATRIX GENERATOR DIFF1 54 89 OPTIMIZATION FINISHED DIFFe gt CPU SECONDS USED DURING THE OPTIMIZATICN DIFF2 1 677 79 OUTPUT VALUES IN METRIC UNITS CZOUT CYCLE TIPE SEC ZOUT 62 62 OUTBOUND SOLUTION CB OUT
21. X 10 i 11 M 12 i 13 ME E uc 14 i ME i 15 Notes by item number 3 If no tolerance is specified 10 of design speed is assumed A limit on change of speed between signals equal to the tolerance is assuned 43 1 MAXBAND General artery 1 Name of artery _ Number of signals 2 Cycle time Lower limit seconds Upper linit seconds 3 Target ratio of inbound to outbound band width 4 Maximum aunber of iterations OUTEOUND DATA 9 Linit on 0 outbound 6 Outbound 8 speed 12 Outbound design Outbound change Outbound distance speed speed from 10 11 band 5 from from tolerance previous Thru Left turn advance Signal previous previous in 7 link green green for for queue name signal signal outbound outbound clearance down meters A pu fraction outbound feet nph mph noh of of cycle of cycle 1 XXXXXX i 2 3 E DOM E m s M M Eee oen NE Ey BENE MAPLE 10 i l SAM RET z n 12 i esp SA ES ETIN 5 B E pore ues Notes by item number 3 Actual ratio will be target ratio unless smaller band be further increased after larger has reach
22. as left turn phases fill in a and c if only inbound a and b Other columns are 0 10 CHAPTER 3 Using the Computer SECTION 3 1 Logging into the PR1ME Interactive MAXBAND exists on a PRIME HOO minicomputer located at the Sloan School of Management and can be reached by dialing 617 258 6008 One must obtain a login username and password After calling and getting connected to the computer hit the carriage return for the rest of this user s manual lt cr gt means hit the carriage return The computer will then print login please Hit return again and the computer will print a password mask Then type in capital letters LOGIN username password or 11 If you get double images type TERM HALF lt cr gt If you get no images type TERM FULL er Note is the character delete and is the line delete Now type A L7TLITTLE password cr Consult Professor Little for the current password Next type A L AND P O 2 er SECTION 3 2 Entering EXPRESS Now we want to get into EXPRESS so type DSS MAXBAND er The computer will print four lines each saying LOAD COMPLETE then a warning message that may be disregarded Finally the following appears WELCOME TO MAXBAND THE MESSAGES ABOVE ARE ALL IRRELEVANT If you are using a graphics terminal you will find it helpful to read the EXPRESS plotter booklet This will tell you how to identify the plotter you are using to the computer For examp
23. ays exceeds 1000 17 SECTION 3 9 Running Times The following are representative running times 5 signal symmetric 5 minutes 11 signal standard 1 hour 17 signal standard 5 hours These times were when the system was fairly empty With more users the running times can be much greater SECTION 3 10 Leaving EXPRESS n important thing to know about EXPRESS is that the user is dealing with a database When the user enters EXPRESS the variables all nave values No matter whether the user enters new data or uses 4 USE command if one leaves EXPRESS the variables will be reset to their original values and the new values will be lost unless they are updated or else filed via a FILE command The user can make the current values permanent by typing UPDATE lt er gt If one then types EXIT or the values of the variables will be left at what they were at the last UPDATE An UPDATE can be typed at any time in an EXPRESS session If 18 there are no UPDATE s the variables are left at their original values i e those at the beginning of the EXPRESS session when the EXIT is typed EXIT gets the user out of EXPRESS A third command QUIT oer executes first an UPDATE and then an EXIT and so it also takes the user out of EXPRESS SECTION 3 11 ESCAPE and BREAK Keys If you want to stop a program in EXPRESS while it is running press the ESCAPE key This will stop the program and keep you within EXPRESS The
24. e 1 Scan 2 USN 24 4 2753 c5 22 24 0 2 22 3 75429 2 e UJiscort b E s Wises 348 1244 3 22 2 244 6 lt 7 Wiscon 7 2 c 242 244 7009 i29o 32271 2 22 54511 PE t MES Wyyscontd 2 io 2a ua 12 jS con 352 1724 4 3 2 i 99 dele 13 2 3 1230 j24 41 3 22 1 5957 Maso 365 3644 13 22 3422 L475 i 2 rOAsus 1169 i244 3 22 22 j 45 jO D Notes 15 Default is outbound distauce 16 Default is outbound speed 17 Default is 10Z of design speed of 16 18 Default is speed tolerance of 17 page 5 General Artery cont 22 Name of Artery CU SA yv Ave Washing n D C LEFT TURN PATTERN CONSTRAINTS 23 24 Acceptability of Left Turn Patterns 1 accentable 0 not Outbound LT Outbound LT Signal before green after green name and and down inbound inbcund inbound inbound outbound LT before LT after LT before LT after Same as green green green green page 1 c d 1 U SAN 2 UJAscon 2 4 UA Eco s UJiscoa 5 6 WisconG 7 Wiscon s U S 9 10 CU S coa 9 11 Nisan IA 12 Wiscoal2 Miso Ald 14 O iscoa Vt 15 WiscatlS Notes 24 Default condition is that all left turn patterns are acceptable if only outbound h
25. e from previous link Outbound left turn splits Inbound red green splits Inbound left turn splits Inbound band advance Desired ratio of inbound to outbound greenbands Left turn pattern selection It should be pointed cut that left turn green times are only used in the asymmetric standard or general case MAXBAND Standard Artery 1 Name of artery M ie st Va Bhen Number of signals 2 Cycle tine Lower limit seconds Upper limit 109 seconds 3 Outbound speed Design center 30 Tolerance ae 4 Inbound speed Design center 30 rh Tolerance 3 d 5 Target ratio of inbound to outbound band width 1 0 12 Acceptability of Left Turn 9 not Patterns 1 acce table 7 8 9 an Outbound LT Outbound LT Distance Thru Thru Left turn Left turn before green after green 6 fron green green green green and and Signal previous outbound inbound outbound inbound inbound inbound inbound inbound signal fraction fractior fraction LT before LT after LT before LT after PUR meters of of green green reen green cutbound ESE cycle 5 Mody SR PE CA 8 deem joi 10 Whew ME Liadig d 325 12 13 1 14 l 15 Notes by item 3 4 If no tolerance specified 107 is assumed as a default limit on change in speed between signals equal to the tolerance is assumed
26. ed its limit 4 Defaelt 10 000 7 Default is all speeds equal 8 Default is 10 oi design speed 9 Default is speed tolerance of 8 44 Sorry this page is unavailable to Free Members You may continue reading on the following page E _ Upgrade your Forgotten Books Membership to view this page now with our 7 DAY FREE TRIAL Start Free Trial Memberships can be cancelled at anytime General Artery cont 22 Kame of Artery LEFT TURN PATTERN CONSTRAINTS 23 24 Acceptability of Left Turn Patterns 1 acceptable 0 not Outbound LT Outbound LT Signal before green after green name and and down inbound inbound inbound inbound outbound LT before LT after LT before LT after same as green green green green _page 1 a b _ c 169 12 15 Notes 24 Default cordition is that all left turn patterns are acceptobl only outbound has left turn phases fill in a and c if only inbound a b Other columns are 0 e e 46 u 7 JUL 2 0 1985 e 12 sa OCT 9 1936 DEC 1 2 1986 Lib 26 67 ACME BOOKBIND NG C9 INC NOV 1 0 1983 100 CAMBRIDGE STREET CHARLESTOWN MASS HD28 M414 no 1175 80 James The role of serenity 0 HD28 M414 no 1176 80 Na A partial i m RU LU NJ H 3 qD 33b 224
27. l to solve a short artery 5 signals and another using a graphics terminal to solve a longer artery 11 signals This version of MAXBAND lacks two features found in batch program developed for the FHWA the calculation of green splits from link flows and the ability to handle triangular networks Introduction The manner in which traffic signals are set affects large numbers of people every day is therefore desirable to be able to set signals well and to be able to do so quickly and easily HAXBAND is a computer program that finds traffic signal settings on arteries so as to achieve maximal bandwidth Problems formulated mixed integer programs based on a theory developed by Little 11966 19771 This user s manual describes a particularly convenient interactive version of MAMBAND written in EXPRESS a nigh level computer language The mixed integer progran is solved using a mathematical programming package written in FORTRAN by Land and Powell 1973 A previous interactive version written in EXPRESS was implemented by Rizzi 1977 and a baten program version written in FORTRAN has been prepared for the Federal Highway Administration by Little and Kelson 1980 The m r latter contains two features not sent the on line version d namely the ability to calculate splits from link flows and the ability to handle simple trienguler networks The program is currently available on tne PRIME 400
28. le if you are using a Tektronix terminal you type TERMINAL or where is replaced by the number of tne terminal In our example 12 Sorry this page is unavailable to Free Members You may continue reading on the following page E _ Upgrade your Forgotten Books Membership to view this page now with our 7 DAY FREE TRIAL Start Free Trial Memberships can be cancelled at anytime SECTION 3 1 Printing Out the Inputs If the user types MB PRINT oer all of the input variables are printed out SECTION 3 5 Solving Problem and Output To solve a problem type MB SOLVE oer The program will run and tell the user how many CPU seconds each stage takes The stages are 1 matrix generation 2 optimization by mixed integer linear program and 3 output Chapter 4 gives examples If the problem has previously been solved and only the output is desired the user types MB OUTPUT er The output has two options table and plot 14 i Table This produces times for the start of red end of red start and end of greenband start and end of band advance In addition the inbound and outbound speeds on links are printed See examples for more details ii Plot A space time diagram for the artery showing the greenband is produced for each direction First the computer will print a File created comment and then on a graphics terminal only an arrow gt will a
29. ooks www ForgottenBooks org e Alchemy In changing the base metals into gold and silver by the projection of the Stone it follows by an accelerated process the method of nature and therefore is natural The New Pearl of Great Price by Peter Bonus 1338 AD www ForgottenBooks org Alchemy Forgotten Books Free App Download Available on the App Store a Windows Store ANDROID APP ON Google play Enjoy 484 473 Books wherever you go www ForgottenBooks org apps USER S MANUAL for Interactive MAXBAND Arterial Case by Matthew D Steele WP 1178 80 December 1980 USER S MANUAL for Interactive MAXBAND Arterial Case by Matthew D Steele WP 1178 80 December 1980 Abstract MAXBAND is a computer program that finds traffic signal settings to maximize bandwidths on arteries This manual describes an interactive version of MAXBAND that runs on a PRIME HOO computer at the Sloan School of Management M I T Inputs are arterial geometry signal splits range of acceptable cycle lengths ranges of acceptable speeds and left turn phasing patterns permitted The outputs produced bandwidths cycle length beginning and ending times of splits and greenband at each signal link speeds and space time diagrams The manual describes how the user gets onto the computer and uses the program Traces are presented for two sample sessions one using a printing termina
30. ppear the user simply hits the carriage return to produce the plot On a printing terminal the operation is continuous A graphics terminal produces a better looking plot Outputs from both types of terminal are demonstrated in the examples chapter On a graphics terminal the computer pauses after a plot is produced to permit the user to make a hard copy if desired Hitting the return continues the program The user may choose either both or neither of the two options The program no matter which option is used automatically displays the cycle time and the inbound and outbound bandwidths 15 SECTION 3 6 File Data Use Data To file the data for possible reuse at a later date type FILE filename DATABASE oer where filename is replaced by whatever name you select for the file After hitting the lt cr gt the computer will prompt COMMENT Now you can type any message e g a identifying the problem If more than one line is desired a hyphen followed by lt gt at the end of a line will result in a prompt CONTINUE and the message can be continued When the data is desired once again simply type USE filename or SECTION 3 7 Modify Street Data To change the current data either just entered or brought back via a USE command simply type MB INPUT lt er gt and type NC lt er gt for any item that the user does not want to change To terminate a 16 data question series in the middle
31. this page now with our 7 DAY FREE TRIAL Start Free Trial Memberships can be cancelled at anytime DIFF3 CFU SECONDS USED TURING THE OUTPUT ROUTINE DIFFS 73 64 FILE EROADUAY DATARASE Save data on disk file COMMENT BROADIWAYs EXAMPLE UPDATE save data in database 3USE EKRQANUAY restore data from file Still in file FILE CREATED 12 01 80 163207309 COMMENT BROADWAY CAHMLRIDGE EXAMPLE gt Leave EXPRESS CLO Leave PRIME LZLITTLE 5 LOGGET OUT 18 53 50 12 01 320 7 NRUS 0 58 HOURS LOCALO 9 PROJECT MATT gt Me EXAMPLE 2 USER TYPING IS UNDERLINED COLOGIN CZZEZIBRSEZQOZIOERN PRIMOS Version MDS 13 0 8 LYLITTLE 2 LOGGED IN AT 11 59 80 12 02 PROJECT CODE MATT k X YOU CAN NOW PRINT FILES USING EITHER THE PRINT OR THE SPOOL comma C gt CO TTY L AND P C DSS MAXBAND LOAD COMPLETE LOAD COMPLETE LOAD COMPLETE Already exists load over existing entry ignored FSERX LOAD COMPLETE WELCOME TO MAXBAND THE MESSAGES ABOVE ARE ALL IRRELEVANT FMB INPUT TO INPUT TRAFFIC DATA TYPE HB PRINT TO PRINT OUT INPUT TRAFFIC DATA MB SOLUS TO SOLVE PROBLEM AND PRINT OUT RESULTS TYPE MB OUTPUT TO SIMPLY PRINT CUT RISULTS GF PREVIOUSLY SOLVED PROBLEM NOTE MB SOLVE AUTOMATICALLY EXECUTES MS OUTPUT gt TERMINAL TEK4913 Identify terminal Necessary for graohi cs but not gt most printing terminals 31 gt tp
32. type DONE Everything will be left as before The modified problem be rerun via MB SOLVE command Users having experience with EXPRESS can change data variables directly but the MB INPUT sequence should be gone through with NC s and DONE s to be sure all flags and derived variables are correctly set SECTION 3 8 Restarting a Problem If the maximum number of iterations specified by the user is not large enough to solve the entire problem the program will terminate at the iteration limit and print out a message saying that a node data file has been punched stored on disk so that the program can be restarted at the exact point where it stopped To do this type MB SOLVE enter a new larger maximum number of iterations and type yes when asked if this is a restart of a previous run One warning the restart must be the next problem solved even if it is in another computer session If another problem is run before the problem is restarted the node will be erased and tne original problem will have to be resolved from the beginning Another warning if the user enters a maximum number of iterations that is so small that the original linear program of the mathematical program cannot be Solved iterations are simplex iterations the program will instruct the user to resolve the problem from the beginning using a larger maximum Note this is not a restart This problem can be avoided if the maximum number of iterations alw
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