Aplicación de la Programación lineal a la asignación de personal en un centro de llamadas

[ES] La necesidad de gestionar y repartir eficazmente los recursos escasos entre las diferentes operaciones de las empresas, hacen que éstas recurran a aplicar técnicas de la Investigación de Operaciones. Éste es el caso de los centros de llamadas, un sector emergente y dinámico que se encuentra en constante desarrollo. En este sector, la administración del trabajo requiere de técnicas predictivas para determinar el número de trabajadores adecuado y así evitar en la medida de lo posible tanto el exceso como la escasez del mismo. Este trabajo se centrará en el estudio del centro de llamadas de emergencias 112 de Andalucía. Partiendo de los datos estadísticos del número medio de llamadas que se realiza en cada franja horaria, facilitados por la Junta de esta Comunidad Autónoma, formularemos y modelizaremos el problema aplicando la Programación Lineal. Posteriormente, lo resolveremos con dos programas de software, con la finalidad de obtener una distribución óptima de agentes que minimice el coste salarial, ya que supone un 65% del gasto de explotación total. Finalmente, mediante la teoría de colas, observaremos los tiempos de espera en cola y calcularemos el número objetivo de agentes que permita no sólo minimizar el coste salarial sino mejorar la calidad de servicio teniendo unos tiempos de espera razonables.

Predictive score for mortality in patients with COPD exacerbations attending hospital emergency departments

Background: Limited information is available about predictors of short-term outcomes in patients with exacerbation of chronic obstructive pulmonary disease (eCOPD) attending an emergency department (ED). Such information could help stratify these patients and guide medical decision-making. The aim of this study was to develop a clinical prediction rule for short-term mortality during hospital admission or within a week after the index ED visit. Methods: This was a prospective cohort study of patients with eCOPD attending the EDs of 16 participating hospitals. Recruitment started in June 2008 and ended in September 2010. Information on possible predictor variables was recorded during the time the patient was evaluated in the ED, at the time a decision was made to admit the patient to the hospital or discharge home, and during follow-up. Main short-term outcomes were death during hospital admission or within 1 week of discharge to home from the ED, as well as at death within 1 month of the index ED visit. Multivariate logistic regression models were developed in a derivation sample and validated in a validation sample. The score was compared with other published prediction rules for patients with stable COPD. Results: In total, 2,487 patients were included in the study. Predictors of death during hospital admission, or within 1 week of discharge to home from the ED were patient age, baseline dyspnea, previous need for long-term home oxygen therapy or non-invasive mechanical ventilation, altered mental status, and use of inspiratory accessory muscles or paradoxical breathing upon ED arrival (area under the curve (AUC) = 0.85). Addition of arterial blood gas parameters (oxygen and carbon dioxide partial pressures (PO2 and PCO2)) and pH) did not improve the model. The same variables were predictors of death at 1 month (AUC = 0.85). Compared with other commonly used tools for predicting the severity of COPD in stable patients, our rule was significantly better. Conclusions: Five clinical predictors easily available in the ED, and also in the primary care setting, can be used to create a simple and easily obtained score that allows clinicians to stratify patients with eCOPD upon ED arrival and guide the medical decision-making process.