Inventory control and regenerative processes: computations

This article is a continuation of the paper "Inventory Control and Regenerative processes: Theory" (Bazsa et al.; 1998) and presents closed form expressions for Laplace transforms associated with the cost functions of the classical single item inventory models with indivisible items, a fixed lead time and backlogging. For given instances of these inventory control models these Laplace transforms will be used as input functions in a newly developed Laplace transform inversion algorithm (Iseger; A new method for inverting Laplace transforms; 1998) which yields highly accurate computational results of the associated cost functions.