Narayan Rangaraj, Industrial Engineering and Operations Research


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The suburban railway system on which Mumbai is heavily dependent, has been rightly called ‘the lifeline of the city’. Railway operations present a huge range of problems to work on. For over six years, our group* at IIT Bombay has been working on various aspects of suburban railway operations management. The areas of study include Capacity Studies and Planning, Timetable Construction, and Rake Management.

Line Capacity Simulator

To represent the operational features of trains in selected sections, we have developed a simulator for the Indian Railways Institute of Signal Engineering and Telecommunications. The simulator can help estimate the capacity of long-distance track segments on the railway network under complex traffic conditions. It is also useful in changing time-tables, analyzing the effect of adding scheduled trains in a section, evaluating investment at a local level (such as additional loop lines and platforms), and studying the effects of signal failures and train delays. Essentially the programme uses priority-based scheduling of trains along with the operating constraints of track occupancies and platform availability.

The simulator allows realistic analyses by reproduction of the operational logic of railway movement, and related engineering details. It also records train speeds that depend on track signal conditions, which in turn depend on the status of several trains ahead of the signal. The simulator can display train movements on a distance vs. time graph with details of individual trains.

Presently, experiments are being carried out in the suburban section of the Mumbai division of Central Railways, and in the mixed traffic conditions on the Virar-Dahanu Road section of the Mumbai division of Western Railways. The former study is aimed at spacing signals for achieving a desired frequency of train service, while the latter study allows preparation of temporary timetables in the event of major maintenance work, which usually imposes restrictions on train movement and speed.

Timetabling for Suburban Railway Operations

Preparing suburban railway timetables is a highly skilled and complex task entailing months of data collection and analysis before finalization. Inputs from numerous quarters such as: commercial, operations, safety, signalling, track, civil and electrical departments are essential pre-requisites.

We have designed a semi-automated support for a variety of planning decisions involved in the preparation of such timetables. Already implemented in the Western Railway division of Mumbai, the simplest one is for visualization and monitoring of current timetables and platform occupancies with facilities for enabling gradual changes as needed. Currently, we are developing a tool that will allow a high degree of automation in timetable generation.

Rake Management System (RMS)

The Rake Management System (RMS) is a set of utilities and tools designed for analysis and decision-making on the overall use of rakes vis-a-vis their deployment, operation, and maintenance cycles for suburban train services. Additionally, it provides occupancy profiles of trains at terminals, platforms, and sidings. Thus, it is also useful in operations planning, time-tabling, maintenance plans and crew scheduling. The RMS consists of the Rake Linker and Post-Processor.

Rake Linker: The Rake Linker allocates rakes to services so that the number of rakes used to run all services, and the total distance run by all the rakes is optimal. In technical terms, the approach involves a minimum-cost flow network flow optimization. Further, it models the various linkage possibilities (including empty rake movements, and movements to and from car-sheds and terminals), assigns costs to them, and picks the ‘best’ overall set of linkages.

Post-Processor: The Post-Processor summarizes information about ‘stabling line’ and car-shed movements in accordance with the availability of stabling lines, and optimizes the total distance run by the rake in these activities. For example, if there is more than one car-shed, and if the rake can be moved to any of them, then these movements are optimized. It also generates the occupancies of the rakes at every station and track. The RMS also provides for extensions in the areas of rostering, i.e. the assignment of actual rakes to a starting service each day, so that the overall balance of rakes at various car sheds is satisfied. Finally, a higher level analysis which examines the possibilities of savings by small changes in operating parameters, can also be done. The RMS therefore provides a comprehensive set of tools for optimal rake operation and maintenance.

The techniques used in our work on railway operations planning are applicable to several other areas such as: fleet management, vehicle scheduling, personnel scheduling, distribution management and so on. Obviously, each of these problems need customized approaches. IITB currently has research programs in these areas as well.

*Faculty members involved in this effort are Narayan Rangaraj (Industrial Engg. and Operations Research, narayan@me.iitb.ac.in), Milind Sohoni (Computer Science and Engg., sohoni@cse.iitb.ac.in, Abhiram Ranade (Computer Science and Engg., ranade@cse.iitb.ac.in), K M Moudgalya(Chemical Engg., kannan@che.iitb.ac.in)

 

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