Dynamical approach of renewal equation for optimal control model
Author(s): Pranita Jena and Namita Rani Mall
Abstract: This article establishes a process for the solution
of an optimal control model. The model has been prepared over the situation of
orders at different phases and proceeds to a penalty cost due to surplus
demand. Independent of time interval and the rebate over cost has been
discussed. The model has been studied to solve some real life situations. The
situation has been observed by using the lemmas to verify the stability of the
solutions. This article has strategy to determine the optimal condition, reduce
the predicted total cost. The decision of a single and bounded solution over
the negative variables is used in various renewal equations. The result for the
renewal equation of the model has been derived by using fixed point theorem.
Pranita Jena, Namita Rani Mall. Dynamical approach of renewal equation for optimal control model. Int J Stat Appl Math 2025;10(5):126-130. DOI: 10.22271/maths.2025.v10.i5b.2045
