Communications - Scientific Letters of the University of Zilina 2013, 15(1):25-28 | DOI: 10.26552/com.C.2013.1.25-28

On a Fair Fare Rating an a Bus Line

Stanislav Paluch1
1 Department of Mathematical Methods, Faculty of Management Science and Informatics, University of Zilina

Suppose we are given along bus line with asingle tariff. Some passengers travel along long distances while another ones along short trips. Such asingle tariff is advantageous for the first mentioned passengers. However, asingle tariff is inconvenient for short trip passengers. Babel, Keller, Hamacher and Schobel tried to solve this problem by dividing serviced area into zones in [1], [2] and [3]. Kohani presented similar attitude in [4]. Another way how to improve fairness is to introduce a double tariff - fare x for passengers traveling at most along k laps and fare y for passengers traveling along more than k laps. This paper shows how to determine optimal values k, x and y.

Keywords: tariff system, single tariff, fair double tariff, constrained extreme problem

Published: March 31, 2013  Show citation

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Paluch, S. (2013). On a Fair Fare Rating an a Bus Line. Communications - Scientific Letters of the University of Zilina, 15(1), 25-28. doi: 10.26552/com.C.2013.1.25-28
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    References

    1. BABEL, L., KELLER, H.: Design of Tariff Zones in Public Transportation Networks: Theoretical Results and Heuristics, Mathematical Methods of Operations Research 58, 2003, Springer-Verlag, pp. 359-374. Go to original source...
    2. HAMACHER, H., W., SCHOBEL, A.: Design of Zone Tariff Systems in Public Transportation, Operation Research, vol. 52, No. 6, November-December 2004, pp. 897-908, ISSN 0030-364X. Go to original source...
    3. SCHOBEL, A.: Zone Planning in Public Transportation. L. Bianco, P. Toth, eds. Advanced Methods in Transportation Analysis. Springer Verlag, Berlin, 1996, pp. 117-134. Go to original source...
    4. KOHANI, M.: Exact Approach to the Tariff Zones Design Problem in Public, Proc. Of the 30th intern. conference: Mathematical Methods in Economics, Karvina, September 2012, Silesian University in Opava, School of Bussines Administration, 2012, pp. 426-431.
    5. BERTSIMAS, D., FARIAS, V. F., TRICHAKIS, N.: The Price of Fairness. Operations Research, 59(1), pp. 17-31, 2011. Go to original source...

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