Road Pricing Methods

1

• Road Pricing Methods
• in Cube Voyager

2
Path Building in Voyager

• Paths are built by origin zone to ALL
  destinations zones in the ILOOP Phase
• Path building is initiated with the PATHLOAD
  statement
• Paths are built on a FIXED set of link costs for
  current iteration and origin zone
• The PATH keyword defines link costs used for
  path building
• Multiple path sets can be built using multiple
  PATHLOAD statements
• Specific links can be excluded from path sets
• Skims of any current link attribute can be
  created as the paths are built
• OD Trips can be loaded to PATH sets by volume set

3
Typical PATHLOAD Statement

• PATHLOAD PATHCOST PENI1 VOL1mi.1.1,
  EXCLUDEGROUP1 SOV
• PATHLOAD PATHCOST PENI1 VOL2mi.1.2 HOV
• PATHLOAD PATHCOST PENI2 VOL3mi.1.3,
  EXCLUDEGROUP1,2 TRK
• Supporting FUNCTIONS (TIME COST)
• FUNCTION TC1T0(1.15(V/C)4)
• FUNCTION COST1TIME DISTFACTli.DISTANCE

4
Link Based Tolls

• Represents an independent Point-of-sale charge
  for traversing the link
• Typical usage for bridge tolls or independent
  toll booth operations of a toll facility
• Easily implemented, tolls simply coded as a link
  attribute

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PATHLOAD with Link Tolls

• PATHLOAD PATHCOST PENI1 VOL1mi.1.1,
  EXCLUDEGROUP1, SOV
• MW1PATHTRACE(li.TOLL)
• PATHLOAD PATHCOST PENI1 VOL2mi.1.2 HOV
• PATHLOAD PATHCOST PENI2 VOL3mi.1.3,
  EXCLUDEGROUP1,2, TRK
• MW2PATHTRACE(li.TOLL)
• MW3MW1mi.1.1 MW2mi.1.3 vehicle tolls
• Supporting FUNCTIONS (TIME COST)
• FUNCTION TC1T0(1.15(V/C)4)
• FUNCTION COST1TIME DISTFACTli.DISTANCE
  TOLLFACTli.TOLL

6
Link Based Tolls with HOV bypass
7
Toll Facility Operations Modeling

• TRANPLAN Toll facility model implemented in
  Voyager script
• Attempts to represent operational delays
  associated with traveling through the toll plaza
• Requires coding a toll approach link, toll link
  and toll departure link

8
Toll Facilities Model

• TC1T0(10.15(V/C)4)
• TC2(1/(LW.SERVR-LW.ARRIVR))60 CTOLLLI.TOLL
• TC3T0(10.15(V/C)4) LW.CGSTSPEED/ACCELRATE
  )/60
• TC4T0(10.15(V/C)4) (LW.CGSTSPEED/DECEL(1,
  LW.CGSTSPEED))/60
• Supporting link based computations
• LW.CGSTSPEED(LI.DISTANCE/TIME)60
• LW.ARRIVRV/LI.PLZALNSMAX
• LW.SERVTLI.SVCMINUTES(LI.SVCSECONDS/60)
• LW.SERVR(1/LW.SERVT)60

9
Toll Diversion Models

• Implements the assumption of choice behavior in
  taking toll versus no-toll paths
• PATHLOAD PATHCOST EXCLUDEGROUP1, No tolls
• MW1PATHTRACE(COST)
• PATHLOAD PATHCOST,
• MW2PATHTRACE(COST) tolls
• MW3exp(-BMW(1)/(exp(-BMW1)exp(-BMW2))
  
• MW4MW3mi.1.1
• MW5mi.1.1-MW4

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Toll Diversion Models

• PATHLOAD PATHCOST EXCLUDEGROUP1, No tolls
• VOL1MW4
• PATHLOAD PATHCOST,
• VOL2MW5 tolls
• Supporting FUNCTIONS (TIME COST)
• TC1T0(1.15(V/C)4)
• COST1TIME DISTFACTli.DISTANCE
  TOLLFACTli.TOLL

11
Toll Systems

• Represents a dependent point-to-point charge
  for traversing a specific combination of toll
  gates or plazas
• Creates significant problem for path building
  assuming fixed link costs
• In the toll diversion context, OD costs are used
  to compute toll diversion probabilities
• Toll gate identifiers can be Traced and LOOKUP
  functions used to return the specific gate to
  gate tolls to add to the OD costs for the tolled
  paths
• Paths are only indirectly affected by the tolls
  through the effect of volume shifts on travel
  time across multiple iterations
• Methods to incorporate point-to-point cost into
  the link costs to effect the path building are
  computationally prohibitive

12
Path Based Tolls

• Incorporation of path based tolls for closed toll
  systems incorporated in v4.2
• Requires specific network coding conventions for
  on-gates, off-gates and toll facility links
• Requires a toll matrix specifying gate-to-gate
  tolls by toll set in DBF or MDB format
• The presence of the TOLLMATI keyword on the
  PATHLOAD statement triggers toll gate to toll
  gate path building prior to zonal path building
• NETI links between toll gates are replaced with
  pseudo links whose cost are the concatenated cost
  of the underlying neti links plus the gate to
  gate toll.
• Zonal path building then uses these gate to gate
  pseudo links which include the gate to gate tolls
  as a component of the link cost

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Path Based Tolls Coding Considerations

• Toll system must operate as a completely closed
  system - access and egress only by crossing
  specified toll gates.
• Every on-gate must have a unique number (1-999).
• Every off-gate must have a unique number (1-999).
• Every toll-road link must be identified.
• Each network link must have indicator fields to
  represent
• On-gate number
• Off-gate number
• Toll-road indication
• A toll matrix must be provided containing the
  toll for every possible on-off combination of
  toll gates. (FILEI TOLLMATI file)

14
Path Based Tolls

• Example

15
Path Based Tolls Scripting Considerations

• Input Requirements
• FILEI TOLLMATI1 "C\TEMP\FUTURA08_TOLLS\TOLL.D
  BF",
• ENTRYGATEON_RAMP, EXITGATEOFF_RAMP,
  TOLLSCOST_CAR,COST_TRUCK,
• NETIENTRYONRAMP, NETIEXITOFFRAMP,
  NETITOLLROADTOLLROAD

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Path Based Tolls Scripting Considerations

• Example PATHLOAD statements
• PATHLOAD PATHCOST, VOL1MW101,
  EXCLUDEGROUP1,
• PENI1,
• TOLLMATI1,1,
• TOLLFACTOR2, VOT in path cost
  units/toll units
• MW1PATHCOST, NOACCESS0,
• MW2PATHTOLL,
• MW3PATHTRACE(LW.TOLLDIST),NOACCESS0,
• PATHO1, NAME"LOV1", ALLJT,
  INCLUDECOSTST
• MW4MW2MW101 Compute toll revenue

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Path Based Tolls Example Implementation