We consider checkpointing strategies that minimize the number of recomputations needed when performing discrete adjoint computations using multistage time-stepping schemes require computing several substeps within one complete time step. Specifically, we propose two algorithms can generate optimal schedules under weak assumptions. The first is an extension seminal Revolve algorithm adapted to s...

The Accelerated Failure Time model presents a way to easily describe and interpret survival regression data. It approaches the data differently than the widely used and well described Cox proportional hazard model, by assuming proportional effect of the covariates on the log-failure time rather than on the hazard function. In order to check if observed data behave according to the model, its as...

Most of the inventory control models assume that quality defect never happens, which means production process is perfect. However, in real manufacturing processes, the production process starts its operation in the in-control state; but after a period of time, shifts to the out-of-control state because of occurrence of some disturbances. In this paper, in order to approach the model to real man...

Today, process schemes are required for a lot of purposes. Extracting process schemes from event-based data is an alternative to creating them manually. Process Miner is a research prototype that can extract process schemes from event-based data. Its extracting procedure is a multistage data mining that uses a special process model. This paper outlines the main features of the tool and gives an...

We construct non-local artificial boundary conditions (ABCs) for the numerical simulation of genuinely time-dependent acoustic waves that propagate from a compact source in an unbounded unobstructed space. The key property used for obtaining the ABCs is the presence of lacunae, i.e., sharp aft fronts of the waves, in wave-type solutions in odd-dimension spaces. This property can be considered a...

The aim of this paper is to predict and compare the survival of HIV/AIDS patients under ART follow-up in three different hospitals in Ethiopia. Three data sets with total 1304 patients were considered. Three parametric accelerated failure time distributions: lognormal, loglogistic and Weibull are used to analyze, predict and compare survival probabilities of the patients. The results indicate t...

Many products have two kinds of failure modes, that is, degradation failure and traumatic failure. It is of great importance to study the competing failure of degradation failure and traumatic failure at use or accelerating conditions. In this paper, the problem of accelerated failure with competing causes of a degradation failure mode and multiple traumatic failure modes is treated. We discuss...

Abstract Regression discontinuity designs (RDDs) have been developed for the estimation of treatment effects using observational data, where a is administered an externally defined decision rule, linked to continuous assignment variable. Typically, RDDs applied situations outcome interest and non-temporal. Conversely, time-to-event outcomes received less attention, despite such being common in ...