Fakutät Vrkhrswissnschaftn Fridrich List Profssur für Bahnvrkhr, öffntichr Stadt- und Rgionavrkhr Pubic Transport Oprations and Suppy Dvopmnt of rotating duty rostrs Dip.-Ing. Stffn Dutsch Münchn, 11.01.2016 Moving th word
Facuty of Transportation and Traffic Scincs "Fridrich List" Structur of th facuty Institut of Traffic Panning and Road Traffic Institut of Traffic Tmatics Institut of Logistics and Aviation Institut of Rai Vhic Enginring Institut of Transport & Economics Institut of Automotiv Enginring Drsdn Institut of Raiway Systms and Pubic Transport Foundd in: 1992 Profssors: 26 Studnts: 1600 Foi 2 Foi 2 2
Institut of Raiway Systms & Pubic Transport Structur of th institut Chair of Transportation Systms Enginring Chair of Panning and Dsign of Raiway Infrastructur Chair of Rai and Pubic Urban Transport Chair of Raiway Signaing and Transport Safty Tchnoogy Foi 3 Foi 3 3
Chair of Rai and Pubic Urban Transport Structur of th chair Profssiona group of raiway traffic Profssiona group of raiway opration Profssiona group of pubic urban transport Raiway Opration Laboratory Foi 4 Foi 4 4
Contnts Pubic Transport Oprations and Suppy Dvopmnt of rotating duty rostrs 1. Introduction 1.1. Task and stps of duty-schduing 1.2. Tasks and probms of duty-rostring 1.3. Typs of duty rostrs 2. Dvopmnt of rotating duty rostrs 2.1. Duty rostrs with fixd rhythm 2.2. Duty rostrs with wky rhythm 3. Gnra xamps 3.1. Shift simiary duty rostr 3.2. Duty rostr with fast rotation 4. Exrcis Foi 5 Foi 5 5
Contnts Pubic Transport Oprations and Suppy Dvopmnt of rotating duty rostrs 1. Introduction 1.1. Task and stps of duty-schduing 1.2. Tasks and probms of duty-rostring 1.3. Typs of duty rostrs 2. Dvopmnt of rotating duty rostrs 2.1. Duty rostrs with fixd rhythm 2.2. Duty rostrs with wky rhythm 3. Gnra xamps 3.1. Shift simiary duty rostr 3.2. Duty rostr with fast rotation 4. Exrcis Foi 6 Foi 6 6
Task and stps of duty-schduing duty-schduing in compianc with th aw conomic socia customr-orintd bocks run-cutting dutyrostring duty-fiing work dutis paramtr of dutyschduing duty rostr srvic ntwork data minimum of paid working hrs man paid working hrs minimum diffrnc btwn ra und paid working hrs quaity of srvic Foi 7 Foi 7 7
Tasks and probms of duty-rostring Task: group a dutis and days-off into a rostr, that is with xacty on mpoy pr duty ach day in compianc with th aw as socia as possib Probms: Diffrnt numbr of dutis at diffrnt days (monday to friday, saturday and sunday) minima rst priod: 10 hours maxima numbr of dutis without days-off: 6 dutis minima numbr of fr sundays pr yar: 15 sundays Numbr of cycdays, sum of dutis and days-off shoud b btwn 4 and 8 days but nvr 7 days Foi 8 Foi 8 8
typs of duty rostrs duty rostrs historica dvopmnt vaid tim work rhythm rst priod - ntir duty rostr for a mpoys - diffrnt duty rostrs oftn with main and sid rotation - chooc duty rostr - monthy duty rostr - duty rostr for schdu priod - duty rostr with fixd rhythm - duty rostr with wky rhythm - shift simiary duty rostr - duty rostr with fast rotation - duty rostr with sow rotation - rqust duty rostr Foi 9 Foi 9 9
typs of duty rostrs duty rostrs historica dvopmnt - ntir duty rostr for a mpoys - main rotation and sid rotation - chooc duty rostr - rqust duty rostr on duty rostr for a mpoys ach mpoy gts vry duty consists of popuar dutis consists of unpopuar dutis (two parts) on rotation with ary dutis on rotation with at dutis on duty rostr for a mpoys with possibiity to wish dutis sdom a fr wknd oftn a fr wknd at a tims ary duty at a tims at duty vry mpoy has for xamp 10 points monthy Foi 10 Foi 10 10
typs of duty rostrs duty rostrs vaid tim - monthy duty rostr - duty rostr for schdu priod rgiona transport, pubic urban transport in sma ntworks whithout any rhythm possibiity to tak bank hoidays, spcia faturs or wishs into account rai transport, pubic urban transport in arg ntworks whith fixd or wky rhythm no possibiity to tak bank hoidays, spcia faturs or wishs into account; this possibiity xists ony in th stp duty-fiing Foi 11 Foi 11 11
typs of duty rostrs duty rostrs work rhythm - duty rostr with fixd rhythm - duty rostr with wky rhythm Point 2 Foi 12 Foi 12 12
typs of duty rostrs duty rostrs rst priod scond duty bgins and nds about 24 hours aftr th first bst possibiity for famiis with chidrn scond duty bgins and nds ss than 24 hours aftr th first popuar with young pop scond duty bgins and nds mor than 24 hours aftr th first bst possibiity for dry mpoys 1) - shift simiary duty rostr - duty rostr with fast rotation - duty rostr with sow rotation 1) rfrnc: Tarifvrtrag zur Bwätigung ds dmografischn Wands im Nahvrkhr.- Vrinigung dr kommunan Arbitgbrvrbänd (VKA), 2013 1) rfrnc: coctiv agrmnt to ovrcom dmographic chang in pubic transport.- Union of Empoyrs Associations, 2013 nacts Janurary,1 2014 Foi 13 Foi 13 13
Contnts Transportation systms (M. Sc.) Dvopmnt of rotating duty rostrs 1. Introduction 1.1. Task and stps of duty-schduing 1.2. Tasks and probms of duty-rostring 1.3. Typs of duty rostrs 2. Dvopmnt of rotating duty rostrs 2.1. Duty rostrs with fixd rhythm 2.2. Duty rostrs with wky rhythm 3. Gnra xamps 3.1. Shift simiary duty rostr 3.2. Duty rostr with fast rotation 4. Exrcis Foi 14 Foi 14 14
Duty rostr with fixd rhythm 4 working days and 2 days-off wkday 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 cycday 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 staff no. 1 staff no. 2 staff no. 3 staff no. 4 staff no. 5 staff no. 6 4 working days and 1 wkday cycday staff no. 1 staff no. 2 staff no. 3 staff no. 4 staff no. 5 Mo Tu W Th Fr 1 2 3 4 5 Sa Su 1 2 Mo Tu W Th Fr 3 4 5 1 2 Sa Su 3 4 Mo Tu W Th Fr 5 1 2 3 4 Sa Su 5 1 Mo Tu W Th Fr 2 3 4 5 1 Sa Su 2 3 Mo Tu W Th Fr 4 5 1 2 3 Sa Su 4 5 wkday cycday staff no. 1 staff no. 2 staff no. 3 staff no. 4 staff no. 5 Mo Tu W Th Fr 1 2 3 4 5 Sa Su 1 2 Mo Tu W Th Fr 3 4 5 1 2 Sa Su 3 4 Mo Tu W Th Fr 5 1 2 3 4 Sa Su 5 1 Mo Tu W Th Fr 2 3 4 5 1 Sa Su 2 3 Mo Tu W Th Fr 4 5 1 2 3 Sa Su 4 5 Mo Tu W Th Fr Sa Su Foi 15 Foi 15 15
Duty rostr with fixd rhythm 4 working days and 1 Mo Tu W Th Fr Sa Su Mo Tu W Th Fr Sa Su Mo Tu W Th Fr Sa Su Mo Tu W Th Fr Sa Su 100 100 100 100 100 75 100 100 50 100 100 25 Z sa Z so t X 0 0 7,09 Z sa Z so t X 0 1 7,24 Z sa Z so t X 0 2 7,42 Z sa Z so t X 0 3 8,00 Mo Tu W Th Fr Sa Su Mo Tu W Th Fr Sa Su Mo Tu W Th Fr Sa Su Mo Tu W Th Fr Sa Su rfrnc: Vrkhrsrhythmus und Turnus im Fahrdinst.- Ausschuss für Prsonawirtschaft ds Vrbands Öffntichr Vrkhrsbtrib (VÖV), 1986 100 100 Z sa Z so t X 0 4 8,20 0 100 75 75 Z sa Z so t X 1 1 7,42 100 75 Z sa Z so t X 1 2 8,00 50 100 75 Z sa Z so t X 1 3 8,20 25 Foi 16 Foi 16 16
Duty rostr with fixd rhythm disadvantags bad conformity to th wky cours oftn ss or mor than 2 days-off wky bad possibiity to ract to a owr numbr of dutis at wknds - wif, husband - chidrn - isur tim activitis - opning tims... - xtra short dutis - xtra ong dutis - to much mpoys on Saturday and Sunday - not nough mpoys from Monday to Friday duty rostr with wky rhythm consists of fram basic groups with two days-off wky Foi 17 Foi 17 17
Duty rostr with wky rhythm Numbr su mo tu w th fr sa of wk B 1 (1 wk, 1 cyc basis group, 2 days-off) B 3 B 4 1. 1. 2. 3. 1. 2. 3. 4. B 6 (5) 1. 2. 3. 4. 5. 6. B 6 (7) (3 wks, 4 cyc basic groups, 6 days off) () () xtra, ithr Saturday or Sunday (), with th possibiity to put it into nxt wk (4 wks, 5 cyc basic groups, 8 days-off) () (6 wks, 5 cyc basic groups, 12 days-off) (6 wks, 7 cyc basic groups, 12 days off) () 1. <> <> <> 2. <> <> 3. <> <> 4. <> <> 5. <> <> <> 6. <> <> <> xtra, tak ony 5 from thr Foi 18 Foi 18 18
Contnts Pubic Transport Oprations and Suppy Dvopmnt of rotating duty rostrs 1. Introduction 1.1. Task and stps of duty-schduing 1.2. Tasks and probms of duty-rostring 1.3. Typs of duty rostrs 2. Dvopmnt of rotating duty rostrs 2.1. Duty rostrs with fixd rhythm 2.2. Duty rostrs with wky rhythm 3. Gnra xamps 3.1. Shift simiary duty rostr 3.2. Duty rostr with fast rotation 4. Exrcis Foi 19 Foi 19 19
Examp for a shift simiary duty rostr numbr of wk B shift su mo tu w th fr sa 1. 1. B B / 1. 2. 3. / B / 1. 2. 3. / ary shift at shift it gos: n B = n mf k n B = n mf k n B/ = n sa k n B/ = n su k k = 1/5(n sa + n sa + n su + n su ) boundary conditions: n mf ; n mf ; n sa ; n sa ; n su ; n su 0 (a who numbr) n mf ; n mf k n sa ; n su = k k n sa ; n su 2k n sa + n sa + n su + n su 0 (mod 5) k [ - ] a who constant n B [ - ] numbr of basic groups n mf [ - ] numbr of dutis on vry monday to friday n sa [ - ] numbr of dutis on saturday n su [ - ] numbr of dutis on sunday and pubic hoiday Foi 20 Foi 20 20
Examp for a duty rostr with fast rotation numbr of wk B 1 1. B 6 (5) 1. 2. 3. 4. 5. 6. su mo tu w th fr sa it gos: n B1 = n mf 4 n B6(5) n B6(5) = 1/5 n sa = 1/5 n su boundary conditions: n mf ; n sa ; n su 0 (a who numbr) n mf 4/5 n sa n mf 4/5 n su n sa ; n su 0 (mod 5) n B [ - ] numbr of basic groups n mf [ - ] numbr of dutis on vry monday to friday n sa [ - ] numbr of dutis on saturday n su [ - ] numbr of dutis on sunday and pubic hoiday Foi 21 Foi 21 21
Contnts Pubic Transport Oprations and Suppy Dvopmnt of rotating duty rostrs 1. Introduction 1.1. Task and stps of duty-schduing 1.2. Tasks and probms of duty-rostring 1.3. Typs of duty rostrs 2. Dvopmnt of rotating duty rostrs 2.1. Duty rostrs with fixd rhythm 2.2. Duty rostrs with wky rhythm 3. Gnra xamps 3.1. Shift simiary duty rostr 3.2. Duty rostr with fast rotation 4. Exrcis Foi 22 Foi 22 22
Exrcis monday friday: duty no. train bgin and nd working tim working tim 1 1/3. 3.56 12.06 8:10 2 1/6. 4.14 12.51 8:37 3 1/7. 4.34 13.06 8:32 4 1/8. 4.49 13.04 8:15 5 11/1. + 1/7. 4.56 7.59 + 12.56 16.49 6:56 6 11/2. + 11/3. 5.11 8.14 + 15.11 18.14 6:06 7 11/3. + 1/6. 5.26 7.44 + 12.41 16.51 6:28 8 1/3. 11.56 19.49 7:53 9 11/1. 14.41 18.29 3:48 10 1/8. 12.54 19.04 6:10 11 11/2. + 1/3. 14.56 18.44 + 19.39 0.11 9:15 12 1/7. 16.39 1.18 8:39 13 1/6. 16.41 0.48 8:07 14 1/8. 18.54 4.21 9:27 Foi 23 Foi 23 23
Exrcis saturday, sunday: duty no. train bgin and nd working tim working tim 21 1/3. 3.56 12.06 8:10 22 1/6. 4.14 12.51 8:37 23 1/7. + 1/8. 4.34 8.49 + 8.49 13.04 8:30 24 1/7. 8.39 17.06 8:27 25 1/3. 11.56 17.49 5:53 26 1/6. 12.41 18.34 5:53 27 1/8. 12.54 19.04 6:10 28 1/7. 16.56 1.18 8:22 29 1/3. 17.39 0.11 6:32 30 1/6. 18.24 0.48 6:24 31 1/8. 18.54 4.21 9:27 You hav th dutis numbr 1 to 14 and 21 to 31. Crat a duty rostr with wky rhythm. Th first duty aftr days-off has to start as at as possib, th ast on bfor days-off has to nd as ary as possib. Th rst priod btwn two dutis may nvr b smar than 10 hours. Foi 24 Foi 24 24
Exrcis monday friday: duty no. train bgin and nd working tim working tim 1 1/3. 3.56 12.06 8:10 1.1 on-ca duty 3.56 12.06 8:10 1.2 spar duty (3.56 13.06) 7:37 2 3 4 5 6 7 8 8.1 1/6. 1/7. 1/8. 11/1. + 1/7. 11/2. + 11/3. 11/3. + 1/6. 1/3. on-ca duty 4.14 12.51 4.34 13.06 4.49 13.04 4.56 7.59 5.11 8.14 5.26 7.44 11.56 19.49 11.56 19.15 + + + 12.56 16.49 15.11 18.14 12.41 16.51 8:37 8:32 8:15 6:56 6:06 6:28 7:53 7:19 8.2 spar duty (11.56 4.21) 7:37 9 10 11 12 11/1. 1/8. 11/2. + 1/3. 1/7. 14.41 18.29 12.54 19.04 14.56 18.44 16.39 1.18 + 19.39 0.11 3:48 6:10 9:15 8:39 13 1/6. 16.41 0.48 8:07 14 1/8. 18.54 4.21 9:27 Foi 25 Foi 25 25
Exrcis saturday, sunday: duty no. train bgin and nd working tim working tim 21 1/3. 3.56 12.06 8:10 21.1 on-ca duty 3.56 13.04 9:08 21.2 spar duty (3.56 17.06) 7:37 22 1/6. 4.14 12.51 8:37 23 1/7. + 1/8. 4.34 8.49 + 8.49 13.04 8:30 24 1/7. 8.39 17.06 8:27 25 1/3. 11.56 17.49 5:53 25.1 on-ca duty 11.56 19.24 7:28 25.2 spar duty (11.56 4.21) 7:37 26 27 28 29 30 31 1/6. 1/8. 1/7. 1/3. 1/6. 1/8. 12.41 18.34 12.54 19.04 16.56 1.18 17.39 0.11 18.24 0.48 18.54 4.21 5:53 6:10 8:22 6:32 6:24 9:27 Foi 26 Foi 26 26
numbr of wk 1. su mo tu w th fr sa 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. Foi 27 Foi 27 27
numbr of wk 1. su mo tu w th fr sa 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. Foi 28 Foi 28 28
numbr of wk 1. su mo tu w th fr sa 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. Foi 29 Foi 29 29
Exrcis 3 groups with vr 6 dutis Monday to Friday and vr 5 dutis Saturday and Sunday: I II III IV V VI 18.54 14 4.21 14.56 11 0.11 11.56 8.1 19.15 5.26 7 16.51 4.34 3 13.06 4.14 2 12.51 18.54 31 4.21 16.56 28 1.18 12.54 27 19.04 8.39 24 17.06 3.56 21.1 13.04 16.41 13 0.48 (11.56) 8.2 (4.21) 14.41 9 18.29 4.56 5 16.49 (3.56) 1.2 (13.06) 3.56 1 12.06 18.24 30 0.48 (11.56) 25.2 (4.21) 12.41 26 18.34 4.34 23 13.04 3.56 21 12.06 16.39 12 1.18 11.56 8 19.49 12.54 10 19.04 5.11 6 18.14 4.49 4 13.04 3.56 1.1 12.06 17.39 29 0.11 11.56 25.1 19.24 11.56 25 17.49 (3.56) 21.2 (17.06) 4.14 22 12.51 Foi 30 Foi 30 30
numbr of wk 1. su mo tu w th fr sa 2. 13 8.2 9 5 21 3. 12 8 10 21.2 4. 22 1.1 14 11 27 5. 24 3 2 13 25.2 6. 26 5 1.2 1 29 7. 25.1 10 6 4 1.1 8. 9. 13 8.2 9 5 1.2 10. 12 8 10 6 22 11. 14 11 8.1 24 12. 21.1 2 13 8.2 26 13. 23 1.2 1 12 25.1 14. 25 6 4 1.1 31 15. 28 8.1 7 3 2 16. 30 8.2 9 5 1.2 1 17. 12 8 10 6 4 18. 14 11 8.1 7 21.1 19. 13 8.2 9 23 20. 21 1 12 8 25 21. 21.2 4 1.1 14 28 22. 27 7 3 2 30 23. 25.2 9 5 1.2 1 24. 31 14 11 11 8.1 8.1 29 8 10 6 7 7 3 3 2 4 1.1 Foi 31 Foi 31 31
Dip.-Ing. Stffn Dutsch Tchnisch Univrsität Drsdn Fakutät Vrkhrswissnschaftn Fridrich List Institut für Bahnsystm und Öffntichn Vrkhr Profssur für Bahnvrkhr, öffntichr Stadt- und Rgionavrkhr Tfon: (0351) 463 36528 Tfax: (0351) 463 36529 E-Mai : Stffn.Dutsch@tu-drsdn.d Intrnt: www.tu-drsdn.d/vkivb/p-srv/p_srv.htm Foi 32 Foi 32 32