718
transport); the structure (fleet, ports, waterways,
controls)andorganization(thewayofinteractionof
elements in the transport system when performing
thetask).
Theseaandinlandwaterwaysectionsofthisline
will be transported using RO‐RO ferries of the
relevant sea and river register classes. A standard
European
trackisusedasaroadtrainwiththelength
of16.5m.
WewillbeginthecalculationofFLwiththechoice
ofthetypeofRO‐ROferryfortransportationonthe
marineandinlandwatersectionofFL.
The choice of the RO‐RO rolling ferry type
dependsonmanyfactors:thewaterway(seaorinland
waterwayoftheFL);thelengthofthewatersections
ofthecargoline;characteristicsofthewatersections
ofthecargoline(guaranteeddepth,numberoflocks,
theiroveralllengthandwidthforlocking,etc.);type
ofcarriedcargo;thevolume
oftraffic;deliverytimeof
cargoandtechnicalandoperationalcharacteristicsof
the vessel (handling, ability to resist waves of a
certainheight,transitspeed,powerofmainengines,
fuelconsumption,reliabilityofoperation,etc.).
WhenchoosingarollingtypeofRO‐ROferry,the
followingconditionsshouldbeobserved:
vesseldraft
(for IW not more than 3.2 m); transit speed in calm
waterofatleast29km/h;obligatorycabinsforthe
crews of road trains; ensuring the loading and
unloading of trucks with bow and stern ramps and
the overall length and width of the vessel should
providetheabilitytolock[2].
Based on the above factors and conditions for
calculatingtheFL,wechoose the following typesof
thevessels:
fortheseasectionoftheFL‐asearollingferryRO‐
ROofPobedatype[4];
fortheinlandwatersectionof
theFL,theprojectof
the rolling‐type catamaran vessel Transit,
developed jointly by the VSUWT and MSAWT
specialists and experts from the Vympel Design
Bureau,NizhnyNovgorod[1].
We will perform the calculation for the sea and
inlandwaterareasofFL.
The size of the ship flow
l
m (the number of
shipmentsofthistypeofvesselswithacertaincargo
for the billing period) is defined as the ratio of the
volumeoftraffic
j
G ofFL(setastheinitialdata)to
theloadoftheship
с
G z‐type:
l
m = /
j
G
с
G . (1)
ThefrequencyofshipmentsfonFLiscalculatedas
theratiooftheflowofthevessels
l
m totheperiod
ofdepartureofthevessels
dep
t (estimatedperiod):
l
m
/
dep
t
, dep./day. (2)
The interval of departure
i
t ‐ the time interval
between two consecutive departures of ships on the
line:
i
t =
dep
t /
,
l
m day. (3)
Theultimategoalofcalculatingthecharacteristics
ofFListodeterminetheneedforthefleetF[5]:
Р
F = f ∙
р
r
t (1 +
res
k ) =
мр
кр
и
t
t
(1 +
res
k ),
quantity of ships., (4)
where
Р
F ‐ is the need in the fleet for the sea (inland
water)sectionoftheFL,
р
r
t
t‐istheroundtriptimeforthesea(inlandwater)
sectionoftheFL,
res
k ‐fleetreserve.
Theexactvalueoftheneedforthefleet
Р
F is
calculated according to the types of vessels for
specificFLthroughthecalculatedwithgreataccuracy
theva luesofthedurationofthecircularcruiseofFL
ontheseaandinlandwaters. Itsvaluedeterminesthe
needforthefleetforFLindifferenttypesofshipsfor
theseaandinlandwatersectionsoftheFL(assuming
thesameloadbyroadtrains).
The ratio of the time of a circular voyage of the
inland water area
р
r
t
to the time of the circular
voyageoftheseasection
r
t oftheFLisdenotedby
thecoefficientofthecircularvoyage
r
k :
r
k
/
рм
rr
tt =
Р
F/
М
F (5)
Thecoefficientofthecircularvoyage
r
k shows
theneedforthefleetforFLintypesofshipsforthe
seaandinlandwatersectionsoftheFL(assumingthe
sameloadbyroadtrains).
When
1
r
k
, it is necessary to have onevessel
ofthez ‐typeonthemarinesectionoftheFLandone
vessel of the z‐type on the internal water section of
the FL. When
2
r
k
, one z‐type vessel and two z‐
typevesselsarerequired,respectively,onthesea and
inland waters of the FL. When
3
r
k
for the
offshoresectionoftheFL‐onez‐typevesselandthree
z‐typevesselsarerequired.
In accordance with the economic‐mathematical
model, proposed by the authors, the temporary
conditions(restrictions)ofensuringthedeliveryofFL
trailersaredeterminedbythestandarddelivery time,
whichisregulatedby
thecurrentlegislation[6‐8]:
FL
Dj
Т
∙
j
α ≤
Н
D
Т
j
, h., (6)
where
FL
Dj
Т ‐thetimeofdeliveryofthegoodsonthej‐thFL,
hours;
Н
Dj
Т ‐thestandardtimeofcargodeliverybyseaand
inland waterways of the j‐th FL by the trucking
company,hours;
j
isavariable,showingtheeffectivenessofthej‐
thFL.ThetimeofdeliveryofcargoaccordingtoFLis
determinedbytheformula:
FL
Dj
Т
=
t
Dj
Т
+
rj
Т , h., (7)