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Explicit formulae of distributions and densities of characteristics of a dynamic advertising and pricing model

Kurt L. Helmes, Torsten Templin (2015)

Banach Center Publications

We analyze the optimal sales process of a stochastic advertising and pricing model with constant demand elasticities. We derive explicit formulae of the densities of the (optimal) sales times and (optimal) prices when a fixed finite number of units of a product are to be sold during a finite sales period or an infinite one. Furthermore, for any time t the exact distribution of the inventory, i.e. the number of unsold items, at t is determined and will be expressed in terms of elementary functions....

Maintenance policy under multiple unrevealed failure.

Francisco Germán Badía Blasco, M.ª Dolores Berrade Ursúa, Clemente A. Campos (2002)

Qüestiió

The unrevealed failures of a system are detected only by inspection. In this work, an inspection policy along with a maintenance procedure for multiunit systems with dependent times to failure is presented. The existence of an optimum policy is also discussed.

Monotonicity and comparison results for nonnegative dynamic systems. Part II: Continuous-time case

Nico M. van Dijk, Karel Sladký (2006)

Kybernetika

This second Part II, which follows a first Part I for the discrete-time case (see [DijkSl1]), deals with monotonicity and comparison results, as generalization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the discrete-time case the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next, results from Part I can be adopted. The conditions,...

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