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DYNAMIC SHORTEST PATHS MINIMIZING TRAVEL TIMES AND COSTS

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dc.creator Ahuja, Ravindra
dc.creator Orlin, James
dc.creator Pallottino, Stefano
dc.creator Scutella, Maria
dc.date 2003-01-27T17:01:28Z
dc.date 2003-01-27T17:01:28Z
dc.date 2003-01-27T17:01:28Z
dc.date.accessioned 2013-05-31T20:05:22Z
dc.date.available 2013-05-31T20:05:22Z
dc.date.issued 2013-06-01
dc.identifier http://hdl.handle.net/1721.1/1798
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/1721
dc.description In this paper, we study dynamic shortest path problems that determine a shortest path from a specified source node to every other node in the network where arc travel times change dynamically. We consider two problems: the minimum time walk problem and the minimum cost walk problem. The minimum time walk problem is to find a walk with the minimum travel time. The minimum cost walk problem is to find a walk with the minimum weighted sum of the travel time and the excess travel time (over the minimum possible travel time). The minimum time walk problem is known to be polynomially solvable for a class of networks called FIFO networks. In this paper: (i) we show that the minimum cost walk problem is an NP-hard problem; (ii) we develop a pseudopolynomial-time algorithm to solve the minimum cost walk problem (for integer travel times); and (iii) we develop a polynomial-time algorithm for the minimum time walk problem arising in road networks with traffic light
dc.format 231483 bytes
dc.format application/pdf
dc.language en_US
dc.relation MIT Sloan School of Management Working Paper;4390-02
dc.subject Dynamic shortest path
dc.subject arc travel
dc.subject FIFO networks
dc.title DYNAMIC SHORTEST PATHS MINIMIZING TRAVEL TIMES AND COSTS


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