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  • 1
    Electronic Resource
    Electronic Resource
    Optimal dynamic advertising policies in the presence of continuously distributed time lags (1977)
    Springer
    Journal of optimization theory and applications 22 (1977), S. 79-89 
    Details
    ISSN: 1573-2878
    Keywords: Management science ; advertising ; control theory ; distributed time lags
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The Nerlove-Arrow model of optimal dynamic advertising policies is generalized by incorporating a continuously distributed lag between advertising expenditures and increases in the stock of goodwill. This leads to a control problem where the equation of motion is given by an integro-differential equation. The transitory and steady-state properties of the optimal policies are examined, both for a general lag function and for a gamma distributed lag. The dependence of the steady-state solution on the parameters of the gamma distribution is also investigated. An example is given using specific demand and cost functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00936722
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