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Node capacity and terminal management on Indian Railways

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Jose et al use a c<strong>on</strong>straint-based model to manage situati<strong>on</strong>s where normal operati<strong>on</strong>s are disrupted. This<br />

model attacks some situati<strong>on</strong>s where line <str<strong>on</strong>g>management</str<strong>on</strong>g>, involving traffic al<strong>on</strong>g a small number of lines is<br />

needed. The problem is modeled as a c<strong>on</strong>straint satisfying optimisati<strong>on</strong> problem. The model requires<br />

locati<strong>on</strong> data like locati<strong>on</strong> type (line or stati<strong>on</strong>) <str<strong>on</strong>g>and</str<strong>on</strong>g> <str<strong>on</strong>g>capacity</str<strong>on</strong>g>, train data like train type <str<strong>on</strong>g>and</str<strong>on</strong>g> priority <str<strong>on</strong>g>and</str<strong>on</strong>g><br />

some other data like time spent by a train <strong>on</strong> the locati<strong>on</strong>.<br />

6. Some work at IIT Bombay <strong>on</strong> modeling of railway traffic through secti<strong>on</strong>s <str<strong>on</strong>g>and</str<strong>on</strong>g><br />

nodes/<str<strong>on</strong>g>terminal</str<strong>on</strong>g>s<br />

In this secti<strong>on</strong>, we briefly look at some past <str<strong>on</strong>g>and</str<strong>on</strong>g> <strong>on</strong>going academic research at IIT Bombay, in this area.<br />

6.1 Secti<strong>on</strong> <str<strong>on</strong>g>capacity</str<strong>on</strong>g>: In the area of secti<strong>on</strong> <str<strong>on</strong>g>capacity</str<strong>on</strong>g> assessment, a simulati<strong>on</strong> tool is being developed<br />

for <strong>Indian</strong> <strong>Railways</strong> Institute of Signal Engineering <str<strong>on</strong>g>and</str<strong>on</strong>g> Telecommunicati<strong>on</strong>s (IRISET). This tool will<br />

permit numerical simulati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> experimentati<strong>on</strong> that will examine a variety of traffic <str<strong>on</strong>g>and</str<strong>on</strong>g> investment<br />

scenarios. The special feature of the model is that it permits modeling of automatic signaling<br />

investments <str<strong>on</strong>g>and</str<strong>on</strong>g> evaluates the performance of a secti<strong>on</strong> in two unique dimensi<strong>on</strong>s (i) speeds that depend<br />

<strong>on</strong> signal aspect <str<strong>on</strong>g>and</str<strong>on</strong>g> (ii) impact of signal failures. Apart from this, parametric experimentati<strong>on</strong> is<br />

possible with block secti<strong>on</strong> lengths, freight train speeds, number <str<strong>on</strong>g>and</str<strong>on</strong>g> accessibility of loops, loop turnout<br />

velocity <str<strong>on</strong>g>and</str<strong>on</strong>g> other parameters of typical interest. The tool has a graphical user interface as well as a<br />

charting procedure for validating train positi<strong>on</strong>s, signal aspects <str<strong>on</strong>g>and</str<strong>on</strong>g> velocities. The major output<br />

statistics are the average secti<strong>on</strong> traversal times for unscheduled freight trains <str<strong>on</strong>g>and</str<strong>on</strong>g> loop occupancy<br />

measures.<br />

The work d<strong>on</strong>e <strong>on</strong> secti<strong>on</strong> <str<strong>on</strong>g>capacity</str<strong>on</strong>g> at IIT Bombay can be found in Malik (1999) , Ashok Kumar<br />

(2000), Goswami (2001), Naik (2002).<br />

6.2 <str<strong>on</strong>g>Node</str<strong>on</strong>g> <str<strong>on</strong>g>capacity</str<strong>on</strong>g>: We describe two models below, which attempt to look at the h<str<strong>on</strong>g>and</str<strong>on</strong>g>ling of rail traffic<br />

through nodes, juncti<strong>on</strong>s or <str<strong>on</strong>g>terminal</str<strong>on</strong>g> stati<strong>on</strong>s <strong>on</strong> a railway network.<br />

1) Malde (2001) describes a detailed model al<strong>on</strong>g with a software implementati<strong>on</strong> of the routing of<br />

traffic through a node <str<strong>on</strong>g>and</str<strong>on</strong>g> creating a schedule of movements. The model is a general <strong>on</strong>e, which is<br />

designed to find a feasible timetable for trains with certain characteristics over a railway secti<strong>on</strong> that<br />

includes track secti<strong>on</strong>s <str<strong>on</strong>g>and</str<strong>on</strong>g> stati<strong>on</strong>s. It has sufficient detail in route selecti<strong>on</strong> to make it useful for<br />

modeling traffic through <str<strong>on</strong>g>terminal</str<strong>on</strong>g>s or juncti<strong>on</strong> stati<strong>on</strong>s. The general form of the model is shown to be<br />

theoretically difficult <strong>on</strong>e to solve exactly, <str<strong>on</strong>g>and</str<strong>on</strong>g> what is proposed is a heuristic which takes trains <strong>on</strong>e at a<br />

time according to a priority <str<strong>on</strong>g>and</str<strong>on</strong>g> finds feasible paths (if available), through the network in questi<strong>on</strong>.<br />

The model allows the specificati<strong>on</strong> of alternate routes for traffic streams through various track segments,<br />

<str<strong>on</strong>g>and</str<strong>on</strong>g> selects the shortest possible such route for each unit of traffic <str<strong>on</strong>g>and</str<strong>on</strong>g> then calculates a feasible schedule<br />

for a known set of trains through a node. Passenger trains with scheduled times at departure nodes can<br />

be specified as part of the input. Trains over track segments move with a specified speed. The trains are<br />

taken up in the order of a pre-specified priority. Crossovers are modeled al<strong>on</strong>g with their intersecti<strong>on</strong><br />

with various block secti<strong>on</strong>s.

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