Work-Related Tardiness: Lateness Incident Distribution and Long-Range Correlations

Abstract

The probability distribution of the length of time which is lost to an organization due to an employee being late arrival at work, as well as the correlation between the time lost in different incidents and on different dates is empirically studied. Computerized arrival records of the employees in the headquarters of a large industrial firm were used. It is shown that the probability of the time lost in a single late arrival follows a power law with an exponent α ~ 1 for lateness incidents longer than a few minutes but significantly shorter than the duration of a shift. It is also shown that the autocorrelations for time series composed of lateness incidents of different employees on different dates show a characteristic 1/fβ with β = 0.55 power spectrum. These results are a strong evidence for a kind of "critical dynamics" underlying the tardiness problem. On the other hand, the distribution of the total time lost in the organization due to late arrivals on a particular day is Gaussian.

Modeling and simulation of customer dissatisfaction, worker unpunctuality and tolerance to delay in make-to-order supply chains measured through customer lifetime value performance

“…U (the unpunctuality function) was set to a Pareto distribution according to a field study. This distribution allowed a Pareto rule to be modelled in which short delays account for a high proportion of the total delays and is consistent with the power-law findings in an unpunctuality distribution [19]. The values of the  parameter were selected to match 15 minutes differences according to the research of With et al [21], including a fourth level for punctuality.…”

“…A similar work [18] found relationships of unpunctuality and several labor and psychological factors, including work satisfaction and alcoholism. A possible distribution function for worker unpunctuality is a power-law function [19], in which a large portion of delays are short, but extreme delays are still possible.…”

Manifest electromagnetic duality in closed superstring field theory

“…One generalization would be to combine the NS-NS, NS-R, R-NS, and R-R contributions into a manifestly spacetimesupersymmetric action. After compactification to four dimensions, this is already possible using a closed superstring field theory [16] based on the new spacetime-supersymmetric description of the superstring [17]. (In fact, this was how the action of (4.2)was originally discovered.…”

Evaluación mediante simulación de los efectos generados por la impuntualidad en la fidelidad de los clientes en una cadena de abastecimiento

“…Con respecto al comportamiento estadístico de la impuntualidad a nivel industrial, mediante un estudio de campo [25] se determinó que el tiempo promedio de las llegadas tarde es de 35.8 minutos y que este fenómeno se ajusta a una función de distribución de tipo power law. Una función power law, long tail o potencial es una relación matemática entre dos variables que presenta un comportamiento similar al mostrado en la Ilutración 2.…”

“…En la naturaleza este comportamiento se presenta por ejemplo en la relación entre la cantidad de sismos y su magnitud [25]. En estadística la distribución de Pareto también presenta este tipo de comportamientos [26].…”