Evolutionary optimization is often applied to problems, where simulations or experiments used as the fitness function are expensive to run. In such cases, surrogate models are used to reduce the number of fitness evaluations. Some of the problems also require a fixed size batch of solutions to be evaluated at a time. Traditional methods of selecting individuals for true evaluation to improve th...

A formalism for describing the dynamics of Genetic Algorithms (GAs) using methods from statistical mechanics is applied to the problem of generalization in a perceptron with binary weights. The dynamics are solved for the case where a new batch of training patterns is presented to each population member each generation, which considerably simplifies the calculation. The theory is shown to agree...

In this work, a novel sequence-based mixed-integer linear programming formulation for the simultaneous batching and scheduling in multi-product multi-stage batch plants is developed. The selection of batches, the allocation of batches to processing units and the sequencing of batches in each unit constitute the discrete decisions of our model. Batch processing times and sizes are variables. Bat...

We present an analysis of the number of losses, caused by the buffer overflows, in a finite-buffer queue with batch arrivals and autocorrelated interarrival times. Using the batchMarkovian arrival process, the formulas for the average number of losses in a finite time interval and the stationary loss ratio are shown. In addition, several numerical examples are presented, including illustrations...

We consider the nested-batch decision problem where we need to make a first stage choice (e.g. the size of a nanoparticle) after which we then need to run a series of experiments in batch selecting several second stage choices (e.g. testing different densities of the nanoparticle). Since these experiments are time consuming and expensive, we propose to estimate the value of information from the...

In this paper, we consider stock rationing problem of a single-item make-to-stock production/inventory system with multiple demand classes. Demand arrives as a Poisson process with a randomly distributed batch size. It is assumed that the batch demand can be partially satisfied. The facility can produce a batch up to a certain capacity at the same time. Production time follows an exponential di...

—American shad Alosa sapidissima in semelparous and iteroparous populations along its native range are thought to have nearly equivalent lifetime reproductive output due to reciprocal latitudinal trends in fecundity and degree of repeat spawning. Geographic differences in reproductive patterns are believed to be linked to varying environmental conditions, and this fine tuning is considered stro...