While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost model). In...
While making informed decisions regarding
investments in customer retention and acquisition becomes a
pressing managerial issue, formal models and analysis, which may
provide insight into this topic, are still scarce. In this study
we examine two dynamic models for optimal acquisition and
retention models of a monopoly, the total cost and the cost per
customer models.
These models are analytically analyzed using classical, direct,
methods and asymptotic expansions (for the total cost model).
In...
In this paper we present an analysis of the partial differential equations that
describe the Chemical Vapor Infiltration (CVI) processes. The mathematical model
requires at least two partial differential equations, one describing the
gas phase and one corresponding to the solid phase.
A key difficulty in the process is the long processing times that are typically
required. We address here the issue of optimization and show that we can choose
appropriate pressure and temperature to minimize these...
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