Critical Setting Research Articles

Two stability results for the Kawahara equation with a time-delayed boundary control

In this paper, we consider the Kawahara equation in a bounded interval and with a delay term in one of the boundary conditions. Using two different approaches, we prove that this system is exponentially stable under a condition on the length of the spatial domain. Specifically, the first result is obtained by introducing a suitable energy and using the Lyapunov approach, to ensure that the unique solution of the Kawahara system exponentially decays. The second result is achieved by means of a compactness-uniqueness argument, which reduces our study to prove an observability inequality. Furthermore, the main novelty of this work is to characterize the critical set phenomenon for this equation by showing that the stability results hold whenever the spatial length is related to the M\"obius transformations.

School principals' mental health and well-being under threat: A longitudinal analysis of workplace demands, resources, burnout, and well-being.

Schools are critical organisational settings, and school principals face extreme stress levels. However, there are few large-scale, longitudinal studies of demands and resources that drive principals' health and well-being. Using the Job Demands-Resources (JD-R) framework, we evaluated longitudinal reciprocal effects over 3 years relating to job demands, job resources (resilience), job-related outcomes (burnout and job satisfaction), and personal outcomes (happiness and physical health) for a nationally representative sample of 3683 Australian school principals. Prior demands and resources led to small changes in subsequent outcomes, beneficial effects of resources, and adverse effects of demands, particularly for job-related outcomes. Furthermore, we also found reverse-reciprocal effects, prior outcomes (burnout and job satisfaction) influencing subsequent job characteristics. However, in response to substantively and theoretically important research questions, we found no support for Yerkes-Dodson Law (nonlinear effects of demands) or Nietzsche effects and inoculation effects (that which does not kill you, makes you stronger; manageable levels of demands build resilience). Relating our study to new and evolving issues in JD-R research, we offer limitations of our research-and JD-R theory and research more generally-and directions for further research in this essentially unstudied application of JD-R to school principals' mental health and well-being.

Investigating student approaches to scenario-based assessments of systems thinking

The development of systems thinking is considered a critical skill set for addressing interdisciplinary problems. This skill set is particularly important in the field of engineering, where engineers are often tasked with solving socio-technical problems that often require knowledge beyond their original discipline and practice in unfamiliar contexts. However, existing assessments often fail to accurately measure teachable knowledge or skills that constitute systems thinking. To investigate this issue, we compared students’ performance on two previously and independently peer-reviewed scenario-based assessments for systems thinking: The Village of Abeesee and the Lake Urmia Vignette. Twenty undergraduate engineering students participated in a multi-phase case study utilizing think aloud protocols and semi-structured interview methods to elicit the approaches students took thinking across the two instruments and past experiences that they felt prepared them to solve these ill-structured problems. We found that the way a scenario is presented to students impacts their subsequent problem-solving approach, which complicates assessment of systems thinking. Additionally, students identified only limited opportunities for the development of ill-structured problem-solving skills necessary for systems thinking. Our findings inform future work on improving systems thinking assessments and emphasize the importance of more intentionally supplying opportunities for students to practice solving ill-structured problems throughout the curriculum.

Correlation Between Drug Resistance and Virulence of Candida Isolates from Patients with Candidiasis.

This article aims to provide a theoretical basis for new or adjuvant strategies to facilitate the early diagnosis and treatment of candidiasis and to determine if drug-resistant Candida would affect virulence. Our strains were collected from patients diagnosed with candidiasis in our hospital. The strains were identified by MALDI-TOF system and ITS sequencing. Antifungal sensitivity testing in vitro was performed to evaluate susceptibility of these isolates to current widely used antifungal drugs. The Galleria mellonella larvae model infected by Candida spp. was used to compare the virulence of drug-resistant and susceptible Candida spp. A total of 206 Candida strains were collected from clinical specimens. Candida albicans was the most common species among them, and was predominantly isolated from male patients aged over 40 years in ICU environments suffering from pulmonary and/or cerebral conditions. The accuracy rate of MALDI TOF-MS identification was 92.72% when compared with ITS sequencing as the standard method. Most Candida species, except for C. tropicalis which showed high resistance to micafungin, showed high susceptibilities to voriconazole, itraconazole, amphotericin B and micafungin but were highly resistant to terbinafine. For each specific Candida species, the G. mellonella larvae model revealed that the virulence of drug-resistant Candida isolates did not markedly differ from that of the drug-susceptible isolates, however, the virulence was dose-dependent on inoculated fungal cells in this model. The possibility of Candida infection should not be neglected in patients at critical care hospital settings and C. albicans is the most common causative agent. MALDI-TOF MS has the advantages of rapidity and high accuracy, and should be a preferred method for identification of Candida spp. in a clinical laboratory. Voriconazole, itraconazole, amphotericin B and micafungin can still be recommended as the first line antifungals to treat candidiasis.

Evaluation of automated manufacture of ready-to-administer injections to improve medicines safety in emergency intubation

Abstract Introduction Within the clinical setting of emergency anaesthesia the lack of ready to administer preparations poses a high risk to patients. The CIVAS@IP5 Medicines hub were approached by Cardiff and Vale University Health Board in response to a quality improvement project to prepare ready to administer anaesthesia. To manufacture these medicines required the use of semi-automated technology and development of manufacturing techniques to meet the quantity and range of products required including Ketamine, Rocuronium and Fentanyl. These are some of the first products developed for manufacture using a Grifill 4.0 Semi-automated Medicines Pump within the UK. Aim To develop new ready-to-administer products or use in emergency intubation scenarios within critical clinical settings, manufactured using innovative and newly developed processes. The products would be presented with the Royal College of Anaesthetists label colour scheme and have extended shelf lives assigned to allow suitability of use. Methods The project required three separate stages of methodology. First within Cardiff and Vale UHB, a clinical agreement on standardised concentrations of Ketamine, Fentanyl and Rocuronium was required. Secondly, development within CIVAS@IP5 of a Semi-automated compounding process that had been fully process mapped, assessed via HAACP analysis. This process was then validated for microbiological integrity and efficiency using Gage R&R principles to prove repeatability and reproducibility of a quality product. The final stage involved collaborative development of the final presentation and facilitation of its use locally. Ethical approval was not required for this service development initiative and evaluation. Results The new methodology for semi-automated preparation of ready-to-administer injectable medicines gave the following capacity timings for the three agreed concentrations recommended by the Royal College of Anaesthetists. Fentanyl 250mcg in 5mL – 54 seconds per syringe (Batch size 200 syringes). Rocuronium 250mg in 10mL – 2 minutes per syringe (Batch size 50 syringes). Ketamine 100mg in 10mL – 1 minute 32 seconds per syringe (Batch size 40 syringes). These timings are compared to current documented preparations of 5 minutes 42 seconds for syringes made manually in pharmacy technical services settings. This meant Cardiff and Value UHB could be provided with their emergency intubation medication in a ready-to-use format within a pharmacy manufacturing capacity expenditure of 4 hours and 12 minutes per month when compared to the same manual preparation taking 26 hours. A literature search allowed extended shelf lives of up to 100 days to be applied to the products, and the labels designed in collaboration with anaesthetic colleagues in Cardiff and Vale UHB. The clinical impact is that for emergency intubation scenarios clinicians have ready-to-administer medications at the point of care. Discussion/Conclusion Use of semi-automation within Pharmacy Technical Services can greatly increase the production output of medicines allowing products where there is a current unmet demand to be prepared. The impact is an increased service capacity for the provision of well designed, clinically significant products to clinical areas improving efficiency, patient safety and clinical delivery of treatment in emergency situations.

Dementia Detection from Speech Using Machine Learning and Deep Learning Architectures

Dementia affects the patient's memory and leads to language impairment. Research has demonstrated that speech and language deterioration is often a clear indication of dementia and plays a crucial role in the recognition process. Even though earlier studies have used speech features to recognize subjects suffering from dementia, they are often used along with other linguistic features obtained from transcriptions. This study explores significant standalone speech features to recognize dementia. The primary contribution of this work is to identify a compact set of speech features that aid in the dementia recognition process. The secondary contribution is to leverage machine learning (ML) and deep learning (DL) models for the recognition task. Speech samples from the Pitt corpus in Dementia Bank are utilized for the present study. The critical speech feature set of prosodic, voice quality and cepstral features has been proposed for the task. The experimental results demonstrate the superiority of machine learning (87.6 percent) over deep learning (85 percent) models for recognizing Dementia using the compact speech feature combination, along with lower time and memory consumption. The results obtained using the proposed approach are promising compared with the existing works on dementia recognition using speech.

A general framework for selecting work participation outcomes in intervention studies among persons with health problems: a concept paper

BackgroundWork participation is important for health and can be considered as engagement in a major area of life which is of significance for most people, but it can also be thought of as fulfilling or discharging a role. Currently, academic research lacks a comprehensive classification of work participation outcomes. The International Classification of Functioning is the foremost model in defining work functioning and its counterpart work disability, but it does not provide a critical (core) set of outcomes. Standardizing the definitions and nomenclature used in the research of work participation would ensure that the outcomes of studies are comparable, and practitioners and guideline developers can better decide what works best. As work participation is a broad umbrella term including outcome categories which need unambiguous differentiation, a framework needs to be developed first.AimTo propose a framework which can be used to develop a generic core outcome set for work participation.MethodsFirst, we performed a systematic literature search on the concept of (work) participation, views on how to measure it, and on existing classifications for outcome measurements. Next, we derived criteria for the framework and proposed a framework based on the criteria. Last, we applied the framework to six case studies as a proof of concept.ResultsOur literature search provided 2106 hits and we selected 59 studies for full-text analysis. Based on the literature and the developed criteria we propose four overarching outcome categories: (1) initiating employment, (2) having employment, (3) increasing or maintaining productivity at work, and (4) return to employment. These categories appeared feasible in our proof-of-concept assessment with six different case studies.ConclusionWe propose to use the framework for work participation outcomes to develop a core outcome set for intervention studies to improve work participation.

Spiritual care interventions in critical area: A literature review study

Background: Spiritual care for patients in critical areas is urgently required due to anxiety and fear related to death. Most people think that physical intervention is more important for patient care. However, spiritual needs are considered beneficial to speed up the physical recovery process and reduce pain. Nurse intervention for the provision of spiritual need to be an important aspect and expected at any time since the care is inseparable in critical care setting. Objective: This literature review aims to identify various spiritual care interventions for patients in critical areas.Method: A literature review conducted to discover spiritual care interventions. Data were collected in September 2022 from PubMed and Google Scholar database. A total of 3 (three) relevant studies were included in this study.Result: The articles are qualitative and quantitative study which were conducted in 2021 and 2022. Sample in the studies ranged from 19 to 47 respondents, including nurses who work in critical settings, religious leaders and patient’s families. Various nurse-led intervention to fulfill patient’s spiritual needs are provision of belief, create calm atmosphere during prayer time, Facilitate placement of patients and their families’ trusted protection symbol, collaboration with religious leaders and use of virtual technology for communication purpose.Conclusion: Nurse did not neglect spiritual care for patients treated in critical areas. Consistent behavior to respect and support patient’s spiritual needs in accordance with the religion and beliefs of the patient demonstrated by the nurses.

On Critical Unicyclic Graphs with Cutwidth Four

The cutwidth minimization problem consists of finding an arrangement of the vertices of a graph G on a line Pn with n=|V(G)| vertices in such a way that the maximum number of overlapping edges (i.e., the congestion) is minimized. A graph G with a cutwidth of k is k-cutwidth critical if every proper subgraph of G has a cutwidth less than k and G is homeomorphically minimal. In this paper, we first verified some structural properties of k-cutwidth critical unicyclic graphs with k>1. We then mainly investigated the critical unicyclic graph set T with a cutwidth of four that contains fifty elements, and obtained a forbidden subgraph characterization of 3-cutwidth unicyclic graphs.

Novel Transcriptomics Based Stratification Approach Using the Commpass Dataset Reveals Mechanistic Insights into Current and Upcoming MM Therapies

Introduction: Prognosis and response to Multiple Myeloma (MM) therapy can vary markedly even among patients at the same disease stage and with comparable clinical characteristics. This heterogeneity is driven by tumor intrinsic features such as somatic alterations impacting the genetic and epigenetic landscape of a patient as well immune dysfunction in the tumor microenvironment (TME). Tumor gene expression profiles have been correlated with clinical outcomes and are potentially useful for precision medicine approaches in MM. In this study, we hypothesized that clinical outcomes and variable responses to therapeutic modalities in MM may be driven by expression of critical gene sets, and sought to identify clinically actionable molecular subtypes using the available RNAseq data from newly diagnosed MM (NDMM) patients in the COMPASS functional genomics study. Methods: Unsupervised machine learning approach based on consensus non-negative matrix factorization (cNMF) was applied to the most variable genes (n=6019; top 10%) based on median absolute deviation (MAD) of log2(TPM) in the RNAseq data derived from CD138 positive bone marrow patient samples collected at baseline (N=766) to identify transcriptomic-based molecular subtypes. After the optimal number of clusters was determined using their cophenetic coefficient, the subtypes were assessed for their association with clinical outcomes in patients with available data (N=753). Survival analyses included Kaplan-Meier (KM) curves, log-rank tests, univariate and multivariate Cox regression, and Wald-tests. Subtypes were also biologically characterized by gene signature scoring using well-curated pathway signatures (GSVA analysis using Hallmark pathways), cell type enrichment (xCell enrichment). Results: Our cNMF based analysis identified five clusters of patients based on the 6,019 (top 10%) most variable genes. These novel subtypes (NMF5.1-5) had unique biology associated with time-to-second-line of therapy (Figure 1A, log rank p=0.0018). Biological differences between NMF5.3 and NMF5.2 were investigated further to understand mode of action and mechanism of resistance to IMiD/PI treatment in NDMM patients. NMF5.2 was the best prognostic cluster and associated with the longest time to 2nd line (median time to 2nd line 1,444 days) while NMF5.3 is associated with the shortest time to 2nd line (831 days). NMF5.2 was characterized with a more intact immune system including higher immune cell activation and immune microenvironment scores as well as higher levels in the INF pathway (Hallmark Interferon gamma and alpha pathways Wilcoxon p-value<0.001). NMF5.3, on the other hand, displayed lower scores for immune activation and had more of immunosuppressive/ exhausted immune microenvironment (Wilcoxon p-value<0.001). Ongoing analyses to evaluate the baseline expression level of immunotherapeutic targets in MM like BCMA, FcRH5, GPRC5D and additional immune checkpoint antigens and its association with NMF5.2 and 3 will also be discussed. Conclusions: Unique molecular subtypes identified via a novel unsupervised machine learning may have implications on our understanding of how NDMM patients respond to existing therapies and suggest that the addition of immune checkpoints can improve patients’ clinical outcome. Figure 1View largeDownload PPTFigure 1View largeDownload PPT Close modal

Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space

The magnetohydrodynamic system of damped wave type (abbreviated as MHD-wave system) is formally derived from Maxwell's equations of electromagnetism by keeping the usually ignored small term involving the product of permittivity and magnetic permeability. When this term is ignored in the context of nonrelativistic charged fluid, one obtains the standard MHD system. This extra term in the MHD-wave system assumes the form $\gamma \partial_{tt} b$ with $\gamma>0$ being a small constant and $b$ the magnetic field. Mathematically this term makes the global well-posedness problem much more challenging than the corresponding MHD system. Even the global existence and regularity problem for the 2D MHD-wave system appears to be open. This paper solves the global well-posedness problem in a critical Sobolev setting when $\gamma$ and the size of the initial data satisfy a suitable constraint. In addition, the solution of the MHD-wave system is shown to converge to that of the corresponding MHD system with an explicit rate. The energy method does not work here, and this paper presents a new approach.

Critical regularity issues for the compressible Navier–Stokes system in bounded domains

We are concerned with the barotropic compressible Navier–Stokes system in a bounded domain of mathbb {R}^d (with dge 2). In a critical regularity setting, we establish local well-posedness for large data with no vacuum and global well-posedness for small perturbations of a stable constant equilibrium state. Our results rely on new maximal regularity estimates—of independent interest—for the semigroup of the Lamé operator, and of the linearized compressible Navier–Stokes equations.

Unique continuation on convex domains

In this paper, we obtain estimates on the quantitative strata of the critical set of non-trivial harmonic functions u which vanish continuously on V \subset \partial \Omega , a relatively open subset of the boundary of a convex domain \Omega \subset \mathbb{R}^n . In particular, these estimates improve dimensional estimates on \{|\nabla u| =0\} both in V \subset \partial \Omega and as it approaches V \cap \overline{\Omega} . These estimates are not obtainable by naively combining interior and boundary estimates, and represent a significant improvement upon existing results for boundary analytic continuation in the convex case.

Therapeutic setting as an essential component of psychedelic research methodology: Reporting recommendations emerging from clinical trials of 3,4-methylenedioxymethamphetamine for post-traumatic stress disorder.

Research of psychedelic assisted therapies is at an all-time high, though few studies highlight extra-pharmacological factors that may affect treatment efficacy. One critical set of attributes includes the therapeutic setting itself, which describe the physical and socio-cultural environments in which the drug-assisted session occurs. Despite enduring consensus of the influence of setting, recommendations for establishing and reporting key setting variables remain sparse across clinical trial protocols and published research methodologies. The purpose of this paper is to: (1) present what is known of the influence and implications of setting to psychedelic-assisted therapies, with a particular focus on 3,4-methylenedioxymethamphetamine (MDMA); and (2) propose a set of reporting guidelines for operationalizing and reporting key setting variables in clinical trials of psychedelic-assisted therapies, based on recommendations emerging from clinical trials of MDMA for PTSD. In fact, recommendations should be expanded to "set" - the subject's mood, expectations, and broader psychological condition - once this is more fully developed in the field. The proposed reporting guidelines offer a means of increasing the volume and variability of data necessary for future empirical examination of key setting attributes influencing treatment efficacy, while preserving practitioner and patient autonomy to co-construct adaptive therapy settings according to their respective needs and expertise.

Minimum leader selection for controllability of undirected graphs with leader–follower framework

AbstractResearchers are paying increased attention to the controllability of undirected networks owing to their broad scope of application. This paper addresses the optimization problem of the minimum set of leaders for the controllability of undirected graphs. Existing results show that this is a challenging problem. It is difficult to find not only its optimal solution but also its approximate algorithm. A new concept is proposed, namely minimal perfect critical set (MPCS), to obtain an optimal solution with high probability from a purely graph‐theoretic perspective. Some properties are presented and based on these theorems, the problem of the minimum set of leaders of two typical self‐similar bipartite networks, namely deterministic scale‐free networks (DSFN) and Cayley trees, is solved completely.

Normalized solutions of the autonomous Kirchhoff equation with Sobolev critical exponent: Sub- and super-critical cases

In the present paper, we investigate the existence and multiplicity properties of the normalized solutions to the following Kirchhoff-type equation with Sobolev critical growth ( P ) { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + λ u = μ | u | p − 2 u + | u | 4 u , a m p ; in R 3 , u &gt; 0 , ∫ R 3 | u | 2 d x = c 2 , a m p ; in R 3 , \begin{equation*} \begin {cases} -\left (a+b\int _{\mathbb {R}^3}|\nabla u|^2dx\right )\Delta u+\lambda u=\mu |u|^{p-2}u+|u|^{4}u, \quad &amp;\text {in } \mathbb {R}^3,\\ u&gt;0, \ \int _{\mathbb {R}^3}|u|^2dx=c^2, \quad &amp;\text {in }\mathbb {R}^3, \end{cases} \tag {$P$}\end{equation*} where a , b , c , μ &gt; 0 a, \ b, \ c, \ \mu &gt;0 and 4 &gt; p &gt; 6 4&gt;p&gt;6 . We consider both the L 2 L^2 -subcritical and the L 2 L^2 -supercritical cases. Precisely, in the L 2 L^2 -subcritical case, by combining the truncation method, the concentration-compactness principle and genus theory, we obtain the multiplicity of the normalized solutions for problem ( P ) (P) . In the L 2 L^2 -supercritical case, by using a fiber map and the concentration-compactness principle, we obtain a couple of normalized solutions for problem ( P ) (P) , as well as their asymptotic behavior. These results extend and complement the existing results from Sobolev subcritical growth to the critical Sobolev setting.

A critical analysis of labeling errors of high-alert medications – Safety assessment and remedial measures through case based approach

Background and objectiveWrong labeling of the drugs is one of the critical issues that can end up in serious health issues among patients. Labeling errors of high-risk medications can lead to permanent disability or death of patients in critical settings. This article aims in identifying and analyzing the critical labeling error of the parenteral products and draws a comprehensive outline of its remediations and unintended consequences with respect to patient safety. Materials and methodsThe pharmaceutical supply chain department of high-end Tertiary hospitals and community pharmacies located in Udupi and Dakshina Kannada districts in Karnataka, India were visually inspected using a validated checklist for labeling errors in parenteral products. Defective products with labeling errors were identified and procured. ResultsTwo defective samples with labeling errors were identified. A small volume parenteral (infusion) bottle having both 50% Dextrose and Atropine sulphate injection (100 mg) mentioned on the same label and a Biphasic Isophane Insulin Injection (a × b mL) cartridge with missing batch code was procured from the Hospital Pharmacies. ConclusionStreamlining the process of labeling errors, development of strategies, providing effective training to manufacturing personnel, dispensing pharmacists and all other healthcare professionals and improving regulatory compliance by adhering to current Good Manufacturing Practices can contribute to the reduction of labeling errors. This study will create sound awareness among the healthcare care professionals, pharmaceutical manufacturers, and stakeholders/policy makers by the in-depth exploration of real-life problems and help them in the initiation of necessary measures to avoid such problems in future.

Safety in colours: using colour to communicate drug error in the anaesthetic and critical care settings

Background: Drug error is a persistent problem in global healthcare with little in the way of ‘production to patient’ safety innovation.1–6 Most safety adjuncts in the anaesthetic setting are user applied, do not guarantee the syringe contents and rely entirely on the lead practitioner. We propose that tinting drugs using colour code ISO26825:2020 could contribute to a reduction in drug error. Methods: We asked (n=20) anaesthetists about drug errors, or near misses, with which they had been involved. We evaluated which of these involved drugs which would have been of different colours if they had been tinted using colour code ISO26825:2020. We also conducted a Quality Improvement Project investigating using tinted drugs in an anaesthetic simulation scenario and its impact on work speed and number of syringe touches (n=17). Results: Twelve out of 21 of the drug errors or near misses cited by (n=20) anaesthetists questioned involved drugs of different ISO26825:2020 classes and would have been tinted different colours according to our proposed intervention. Participants (n=17) using tinted ‘Safety in Colours’ drugs completed the simulation on average 7 s faster than participants using current practice colourless drugs. Participants using tinted ‘Safety in Colours’ drugs on average touched two fewer syringes in their drug tray at the end of the scenario compared with participants using current practice colourless drugs. Participants favourably scored using Safety in Colours drugs in terms of safety, speed, and working practice when compared with current practice. Conclusions: This is a proof of concept study and the results suggest further research is warranted. Our preliminary findings show suggestive evidence that tinting drugs using biocompatible dyes is acceptable to healthcare workers in the anaesthetic and critical setting and may contribute to an improvement in work efficiency and improved touch accuracy which could translate to a reduction in drug error.

High resolution mapping of sound speed and density with broadband echo sounders

Advances in acoustic propagation and physical oceanographic modeling necessitate improved spatiotemporal resolution of water column properties (temperature, salinity, sound speed, and density) to inform and validate models. Shipboard profiling provides adequate vertical resolution, but high-resolution horizontal sampling is expensive and time consuming. Stationary arrays generate critical long-term data sets and high vertical resolution, however, there is a trade-off between dense horizontal sampling and total spatial coverage. Towed systems provide dense coverage horizontally but lack vertical resolution in a single location. During the ONR funded New England Shelf Break Acoustics experiments in 2021, sparse shipboard CTD and expendable bathythermograph (XBT) casts were combined with backscatter measurements by shipboard broadband echo sounders to map water column physical properties of the New England Shelf Break front with high resolution vertically and horizontally. The shipboard echo sounders detected backscatter from the strong gradients of the shelf break front, physical microstructure, and internal waves present at the frontal boundary. Acoustically tracking the front between CTD casts resulted in high resolution profiles of water column properties. Acoustic propagation modeling at 500 Hz and 4 kHz was compared when using the acoustically determined water column profile and when using profiles from CTD and XBT casts alone.

A Two-Stage Hybrid Heuristic Algorithm for Simultaneous Order and Rack Assignment Problems

The problem of order and rack assignment to picking stations (ORAPS) is a key joint optimization problem in the order picking process of the robotic mobile fulfillment system (RMFS). Given a set of customer orders and a set of mobile racks, the goal of this problem is to simultaneously assign orders and racks to multiple picking stations so that the racks can provide products to meet the demand of orders by the minimal number of visits to all picking stations. In this article, we build a mathematical model for the ORAPS, which considers all orders assignment with the allocable capacity interval of the picking station and the rack product capacity limitation. To solve the ORAPS problem, we propose a two-stage hybrid heuristic algorithm (TS-HHA) consisting of the reducing stage and the assigning stage. In the reducing stage, a scheme of dynamic programming (DP) is introduced to find a critical rack set, which can focus attention on the most promising racks and increase the speed of problem-solving. In the assigning stage, we propose an optimization strategy that combines a constructive heuristic algorithm and adaptive neighborhood search (CH-ANS). It can generate a high-quality simultaneous assignment scheme and further improve its quality effectively. The computational results show that our proposed algorithm performs better than its competitors on both simulation and practical instances of the ORAPS problem. Note to Practitioners—This article investigates the order and rack assignment to picking stations (ORAPS) problem in the robotic mobile fulfillment system (RMFS) originated from a renowned Chinese logistics platform. We build a more comprehensive and reasonable mathematical programming model for this ORAPS problem and propose a two-stage hybrid heuristic algorithm (TS-HHA) strategy, which can simultaneously assign orders and racks to multiple picking stations so that all customer orders can be processed. The experimental results show that our TS-HHA performs at least 35% better than its competitors on all simulation and practical instances set. We believe that this research work can serve as a kind of generic framework for practical ORAPS problems and be very helpful for operating the RMFS efficiently.