In this note, we give a closed-form expression in terms of the Lambert W function for the quantile function of the Gompertz–Makeham distribution. This probability distribution has frequently been used to describe human mortality and to establish actuarial tables. The analytical expression...

We provide procedures to generate random variables with Lindley distribution, and also with Poisson–Lindley or zero-truncated Poisson–Lindley distribution, as simple alternatives to the existing algorithms. Our procedures are based on the fact that the quantile functions of these probability...

According to integrated pest management for pests, we investigate the dynamic behavior of a class predator–prey system with state-dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds. Using the Poincaré map and the properties of the Lambert W...

We illustrate the use of the Lambert W function by analysing two Economic Order Quantity (EOQ) scenarios: an EOQ model with perishable inventory; and a Net Present Value analysis of an EOQ problem with trim loss. Both scenarios are motivated by real-world situations. Via these two examples, we...

In this study, a novel exact technique is proposed for tracking the maximum power point (MPP) of photovoltaic (PV) modules connected in various configurations. The Lambert W function is used to perform the equations which express current–voltage (I–V), power–voltage (P–V) and...

We consider an overlapping generations model with uncertain lifetime and endogenous growth. Individuals have to choose the length of time devoted to schooling before starting to work. We show that it depends positively on life expectancy but that the positive effect of a longer life on growth...

This contribution deals with Monte Carlo simulation of generalized Gaussian random variables. Such a parametric family of distributions has been proposed in many applications in science to describe physical phenomena and in engineering, and it seems also useful in modeling economic and financial...

We analyse several extensions to the Economic Order Quantity (EOQ) model: when the inventory deteriorates over time; when the demand contains a stock dependent term; and when the present value, or discounted cost, is included. We derive exact analytical expressions for the order that minimises...

We analyse several extensions to the Economic Order Quantity (EOQ) model: when the inventory deteriorates over time; when the demand contains a stock dependent term; and when the present value, or discounted cost, is included. We derive exact analytical expressions for the order that minimises...