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An independence result concerning the arrival rate of and the provision of transport to tourists

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  • Batabyal, Amitrajeet

Abstract

What is the relationship between the arrival rate of tourists at a transport providing firm’s depot and the long run expected wait time experienced by individual tourists in this depot? We use a renewal theoretic framework in this note to answer this question. Our analysis yields two results. First, we show that the long run expected wait time is independent of the arrival rate of the tourists. Second, we explain why this long run expected wait time is equal to the average residual life of a particular renewal process.

Suggested Citation

  • Batabyal, Amitrajeet, 2009. "An independence result concerning the arrival rate of and the provision of transport to tourists," MPRA Paper 72134, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:72134
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    References listed on IDEAS

    as
    1. Amitrajeet Batabyal, 2007. "A probabilistic analysis of a scheduling problem in the economics of tourism," Economics Bulletin, AccessEcon, vol. 12(4), pages 1-7.
    2. Amitrajeet Batabyal & Hamid Beladi, 2008. "Visitor classification, vehicle breakdowns, and the provision of transport for tourism," Letters in Spatial and Resource Sciences, Springer, vol. 1(2), pages 99-105, December.
    3. Charalambos Louca, 2006. "Income and Expenditure in the Tourism Industry: Time Series Evidence from Cyprus," Tourism Economics, , vol. 12(4), pages 603-617, December.
    4. Jonas Nordström, 2005. "Dynamic and stochastic structures in tourism demand modeling," Empirical Economics, Springer, vol. 30(2), pages 379-392, September.
    5. repec:ebl:ecbull:v:12:y:2007:i:4:p:1-7 is not listed on IDEAS
    6. Muhammad Chaudhary & Amitrajeet Batabyal, 2009. "A stochastic analysis of alternate ways of scheduling transport for tourists," Letters in Spatial and Resource Sciences, Springer, vol. 2(2), pages 67-75, October.
    7. A.J. Khadaroo & B. Seetanah, 2007. "Research Note: Does Transport Infrastructure Matter in Overall Tourism Development? Evidence from a Sample of Island Economies," Tourism Economics, , vol. 13(4), pages 675-687, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Arrival Rate; Long Run Expected Wait Time; Tourist; Transport; Uncertainty;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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