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3. Intermodal trainsIntermodal trains are taken as a system <strong>of</strong> fast train connections<strong>of</strong> intermodal transport (hereinafter as IMT) which ensuresconnection among individual IMT terminals in desired quality andsufficient volume <strong>of</strong> transported goods. Systems <strong>of</strong> through trainsand mixed trains are used for <strong>the</strong> train connection among IMT terminals.From <strong>the</strong> <strong>railway</strong> carrier’s point <strong>of</strong> view <strong>the</strong> whole cargo(transport unit) is transported ei<strong>the</strong>r as an individual <strong>set</strong> <strong>of</strong> coachesor as a group <strong>of</strong> <strong>set</strong>s <strong>of</strong> coaches or as <strong>the</strong> shuttle train. The biggestshare <strong>of</strong> IMT cargos is transported in <strong>the</strong> shuttle trains which allbelong to <strong>the</strong> “Nex” train c<strong>at</strong>egory.Heinrici [11] found th<strong>at</strong> <strong>the</strong> systems <strong>of</strong> train connections <strong>of</strong>IMT transport units can be oper<strong>at</strong>ed on an individual line or ona specified line network. In <strong>the</strong> former case we speak <strong>of</strong> so-called“line system” and in <strong>the</strong> l<strong>at</strong>ter case we speak <strong>of</strong> <strong>the</strong> so-called“network system”.The network system <strong>of</strong> train connections is characterized asa network service <strong>of</strong> individual terminals on a specified trafficnetwork. This means th<strong>at</strong> <strong>the</strong>re is a gap in <strong>the</strong> service <strong>of</strong> individualIMT terminals using line systems which are included in <strong>the</strong> trafficnetwork. A system <strong>of</strong> shuttle trains connecting <strong>the</strong> individual IMTterminals is usually used in <strong>the</strong> network system. This networksystem is in <strong>the</strong> IMT area represented by <strong>the</strong> “Hub-and-Spoke”system, as described by Novak [21].this technology is used mainly abroad. For example, in Germany(IMT oper<strong>at</strong>or Kombiverkehr) this system is represented as <strong>the</strong>“goods IC-concept”. It is a very similar system to <strong>the</strong> one used bypassenger trains IC, ICE and EC c<strong>at</strong>egories, as described byHeinrici [11].A practical applic<strong>at</strong>ion <strong>of</strong> this technology has been found notonly abroad but also in <strong>the</strong> Czech Republic. Especially in transport<strong>at</strong>ionamong seaports (Rotterdam, Bremerhaven, Hamburg)and some inland terminals (Praha-Uhrineves, Melník, Lovosice)th<strong>at</strong> have <strong>the</strong> position <strong>of</strong> node terminals. In <strong>the</strong>se lines <strong>the</strong> freighttraffic volumes are high and <strong>the</strong> trains are usually <strong>set</strong> out twice perday (24 hours). In o<strong>the</strong>r sequential directions (o<strong>the</strong>r terminals in<strong>the</strong> CR or adjacent countries) <strong>the</strong> freight traffic volumes are muchlower and <strong>the</strong> train <strong>set</strong>-out frequency is much lower (2 to 5 trainsper week).4. Train routes model for intermodal trainsThe task <strong>of</strong> any transport problem solved by a m<strong>at</strong>hem<strong>at</strong>icmodel is finding its <strong>at</strong>tributes, analysing all its st<strong>at</strong>es and verifyingits scheduled parameters. This is subjected to right definition anddimensioning <strong>of</strong> system items, efficient regul<strong>at</strong>ion and organiz<strong>at</strong>ion<strong>of</strong> <strong>the</strong> system.4.1 General solutionIn <strong>the</strong> node terminal two groups <strong>of</strong> shipments are assembledfor one train. Cerna [4] and Janacek [13] suggest th<strong>at</strong> in <strong>the</strong> firstgroup are shipments which enter <strong>the</strong> system in th<strong>at</strong> node. Thesecond group are shipments which came into th<strong>at</strong> node by train.If <strong>the</strong>re is a node u in time t ij (arrival time <strong>of</strong> train j on line i) , <strong>the</strong>shipment will be brought by train sij on train p<strong>at</strong>h L i , will bereloaded for time l (time <strong>of</strong> reload from line i to lane r) to positionon train p<strong>at</strong>h L r and will wait for <strong>the</strong> nearest train s rg <strong>of</strong> th<strong>at</strong>train p<strong>at</strong>h with <strong>the</strong> depart <strong>at</strong> time t rg (departure time <strong>of</strong> train g online r):trg $ tij + tirl[min] (1)Providing th<strong>at</strong> <strong>the</strong> train s ij departs from a starting st<strong>at</strong>ion <strong>at</strong>time t o ij and th<strong>at</strong> <strong>the</strong> travelling time to node u is d u ij <strong>the</strong>n <strong>the</strong> arrivaltime to t ij can be formularized by 2 and 3:t ijo= t + dijuij[min] (2)Fig. 1 Logistic technology „Hub-and-Spoke“and for <strong>the</strong> train s rg :t rgo= t + drgurg[min] (3)The “Hub-and-Spoke” technology can be combined with <strong>the</strong>line principle using <strong>the</strong> technology <strong>of</strong> multiple-section trains. Theschem<strong>at</strong>ic represent<strong>at</strong>ion <strong>of</strong> this technology is in Fig. 1. Novak[21] and Vrenken [26] found th<strong>at</strong> <strong>the</strong> network structure based onBlackout time during waiting for reload can be formularizedby 4:o o u ut = t - t + d -d -tlczrgijrgijir[min] (4)20 ● COMMUNICATIONS 3/2008

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