Water is a basic part of our daily lives, as such effective water supply paramount importance. Thus, result the rise in population size and shortage there need for proper, suitable optimal utilization resources to efficiently be distributed among populace. The proper allocation distribution field network planning modelled through mathematical parameters objective system. This approach requires ...

Linear mixed-effects models are widely used in applications to analyze clustered, hierarchical, and longitudinal data. Model selection linear mixed is more challenging than that of as the parameter vector a model includes both fixed effects variance component parameters. When selecting components random effects, must be non-negative parameters may lie on boundary space. Therefore, classical met...

Developing a minimum backbone grid in the power system planning is beneficial to improve system’s resilience. To obtain grid, mixed integer linear programming (MILP) model with network connectivity constraints for proposed. In model, some are presented consider practical application requirements. Especially, avoid islands set of based on single-commodity flow formulations proposed ensure grid. ...

In spite of its high practical relevance, cluster specific multiple inference for linear mixed model predictors has hardly been addressed so far. While marginal population parameters is well understood, conditional the more intricate. This work introduces a general framework in models predictors. Consistent confidence sets are constructed under both, and law. Furthermore, it shown that, remarka...

We extend a recent asymptotic normality theorem for generalized linear mixed models to include the dispersion parameter. The maximum likelihood estimators of all model parameters have asymptotically normal distributions with mutual independence between fixed effects, covariance and parameters.