Technical Note—Approximating Systems Fed by Poisson Processes with Rapidly Changing Arrival Rates

2021 ◽  
Author(s):  
Zeyu Zheng ◽  
Harsha Honnappa ◽  
Peter W. Glynn

In many operations management settings, the arrival process to the system exhibits clear nonstationarities. These nonstationarities may arise as a consequence of time-of-day effects, day-of-week effects, seasonalities, or stochastic fluctuations in the arrival rate. Tools that are developed for performance prediction and decision making when systems are stationary may not be valid in the nonstationary environment. This paper provides a generic, closed-form, and simple approximation tool for when the nonstationarities are caused by rapid fluctuations in the arrival processes.

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Álvaro Rodríguez-Sanz ◽  
Javier Cano ◽  
Beatriz Rubio Fernández

Purpose Weather events have a significant impact on airport arrival performance and may cause delays in operations and/or constraints in airport capacity. In Europe, almost half of all regulated airport traffic delay is due to adverse weather conditions. Moreover, the closer airports operate to their maximum capacity, the more severe is the impact of a capacity loss due to external events such as weather. Various weather uncertainties occurring during airport operations can significantly delay some arrival processes and cause network-wide effects on the overall air traffic management (ATM) system. Quantifying the impact of weather is, therefore, a key feature to improve the decision-making process that enhances airport performance. It would allow airport operators to identify the relevant weather information needed, and help them decide on the appropriate actions to mitigate the consequences of adverse weather events. Therefore, this research aims to understand and quantify the impact of weather conditions on airport arrival processes, so it can be properly predicted and managed. Design/methodology/approach This study presents a methodology to evaluate the impact of adverse weather events on airport arrival performance (delay and throughput) and to define operational thresholds for significant weather conditions. This study uses a Bayesian Network approach to relate weather data from meteorological reports and airport arrival performance data with scheduled and actual movements, as well as arrival delays. This allows us to understand the relationships between weather phenomena and their impacts on arrival delay and throughput. The proposed model also provides us with the values of the explanatory variables (weather events) that lead to certain operational thresholds in the target variables (arrival delay and throughput). This study then presents a quantification of the airport performance with regard to an aggregated weather-performance metric. Specific weather phenomena are categorized through a synthetic index, which aims to quantify weather conditions at a given airport, based on aviation routine meteorological reports. This helps us to manage uncertainty at airport arrival operations by relating index levels with airport performance results. Findings The results are computed from a data set of over 750,000 flights on a major European hub and from local weather data during the period 2015–2018. This study combines delay and capacity metrics at different airport operational stages for the arrival process (final approach, taxi-in and in-block). Therefore, the spatial boundary of this study is not only the airport but also its surrounding airspace, to take both the arrival sequencing and metering area and potential holding patterns into consideration. Originality/value This study introduces a new approach for modeling causal relationships between airport arrival performance indicators and meteorological events, which can be used to quantify the impact of weather in airport arrival conditions, predict the evolution of airport operational scenarios and support airport decision-making processes.


2016 ◽  
Vol 30 (4) ◽  
pp. 593-621 ◽  
Author(s):  
Beixiang He ◽  
Yunan Liu ◽  
Ward Whitt

Motivated by non-Poisson stochastic variability found in service system arrival data, we extend established service system staffing algorithms using the square-root staffing formula to allow for non-Poisson arrival processes. We develop a general model of the non-Poisson non-stationary arrival process that includes as a special case the non-stationary Cox process (a modification of a Poisson process in which the rate itself is a non-stationary stochastic process), which has been advocated in the literature. We characterize the impact of the non-Poisson stochastic variability upon the staffing through the heavy-traffic limit of the peakedness (ratio of the variance to the mean in an associated stationary infinite-server queueing model), which depends on the arrival process through its central limit theorem behavior. We provide simple formulas to quantify the performance impact of the non-Poisson arrivals upon the staffing decisions, in order to achieve the desired service level. We conduct simulation experiments with non-stationary Markov-modulated Poisson arrival processes with sinusoidal arrival rate functions to demonstrate that the staffing algorithm is effective in stabilizing the time-varying probability of delay at designated targets.


1986 ◽  
Vol 23 (1) ◽  
pp. 256-260 ◽  
Author(s):  
Robert D. Foley

We present some non-stationary infinite-server queueing systems with stationary Poisson departure processes. In Foley (1982), it was shown that the departure process from the Mt/Gt/∞ queue was a Poisson process, possibly non-stationary. The Mt/Gt/∞ queue is an infinite-server queue with a stationary or non-stationary Poisson arrival process and a general server in which the service time of a customer may depend upon the customer's arrival time. Mirasol (1963) pointed out that the departure process from the M/G/∞ queue is a stationary Poisson process. The question arose whether there are any other Mt/Gt/∞ queueing systems with stationary Poisson departure processes. For example, if the arrival rate is periodic, is it possible to select the service-time distribution functions to fluctuate in order to compensate for the fluctuations of the arrival rate? In this situation and in more general situations, it is possible to select the server such that the system yields a stationary Poisson departure process.


2021 ◽  
Author(s):  
Vishal Ahuja ◽  
Carlos A. Alvarez ◽  
John R. Birge ◽  
Chad Syverson

The U.S. Food and Drug Administration (FDA) regulates the approval and safe public use of pharmaceutical products in the United States. The FDA uses postmarket surveillance systems to monitor drugs already on the market; a drug found to be associated with an increased risk of adverse events (ADEs) is subject to a recall or a warning. A flawed postmarket decision-making process can have unintended consequences for patients, create uncertainty among providers and affect their prescribing practices, and subject the FDA to unfavorable public scrutiny. The FDA’s current pharmacovigilance process suffers from several shortcomings (e.g., a high underreporting rate), often resulting in incorrect or untimely decisions. Thus, there is a need for robust, data-driven approaches to support and enhance regulatory decision making in the context of postmarket pharmacovigilance. We propose such an approach that has several appealing features—it employs large, reliable, and relevant longitudinal databases; it uses methods firmly established in literature; and it addresses selection bias and endogeneity concerns. Our approach can be used to both (i) independently validate existing safety concerns relating to a drug, such as those emanating from existing surveillance systems, and (ii) perform a holistic safety assessment by evaluating a drug’s association with other ADEs to which the users may be susceptible. We illustrate the utility of our approach by applying it retrospectively to a highly publicized FDA black box warning (BBW) for rosiglitazone, a diabetes drug. Using comprehensive data from the Veterans Health Administration on more than 320,000 diabetes patients over an eight-year period, we find that the drug was not associated with the two ADEs that led to the BBW, a conclusion that the FDA evidently reached, as it retracted the warning six years after issuing it. We demonstrate the generalizability of our approach by retroactively evaluating two additional warnings, those related to statins and atenolol, which we found to be valid. This paper was accepted by Vishal Gaur, operations management.


2019 ◽  
Vol 39 (1) ◽  
pp. 164-186 ◽  
Author(s):  
Xue Li ◽  
Lucy Gongtao Chen ◽  
Jian Chen

PurposeThe purpose of this paper is to investigate cultural and individual differences in newsvendor decision making.Design/methodology/approachThe online experiment, programmed in the PHP scripting language, had 107 participants: local managers of four large, well-known and supply chain–intensive firms in China (Lenovo, Shenhua, CMST and GM).FindingsThe authors find that, as compared with American subjects, Chinese subjects engage in more demand chasing, order quantities that are closer to the mean demand, have a lower expected profit and exhibit greater variance in order quantities. However, these observations may not hold when the cross-cultural comparison is conducted for each pair of ethnic subgroups whose members have the same cognitive reflection test score, a measure of individual differences. Moreover, cultural differences also affect how individual differences manifest in newsvendor decisions.Practical implicationsThe authors findings have important implications for employee selection, training and management in any cross-cultural business environment.Originality/valueLittle attention has been paid, in the behavioural operations literature, to individual differences and how they interact with culture. This paper is the first to examine the interaction effects of cultural and individual differences in newsvendor decisions, and it highlights an important research area that is currently understudied in operations management.


Author(s):  
Joshua B. Hurwitz

Increased real-time risk-taking under sleep loss could be marked by changes in risk perception or acceptance. Risk-perception processes are those involved in estimating real-time parameters such as the speeds and distances of hazardous objects. Risk-acceptance processes relate to response choices given risk estimates. Risk-taking under fatigue was studied using a simulated intersection-crossing driving task in which subjects decided when it was safe to cross an intersection as an oncoming car approached from the cross street. The subjects performed this task at 3-hour intervals over a 36-hour period without sleep. Results were modeled using a model of real-time risky decision making that has perceptual components that process speed, time and distance information, and a decisional component for accepting risk. Results showed that varying a parameter for the decisional component across sessions best accounted for variations in performance relating to time of day.


Author(s):  
Thais Spiegel ◽  
Daniel Bouzon Nagem Assad

Topic of discussions over the last decades, the literature related to the care of patients suffering from poly-trauma, under the assistance point of view, is sufficiently consolidated concerning to the adoption of best practices, what, usually are conducted and disseminated by accrediting organizations. However, expanding the search frontier beyond the assistance dimension, it's noticed the divergences between the recent researches or theoretical shortcomings regarding to the design and management of these operations. In face of this finding, noticed from a literature review in the most important bases of operations management and health, it's adopted a conceptual model which covers relevant elements of the project of an operation, such as: strategy, capacity, human resources, incentive systems, organizational structure and decision making; in order to systematize the current stage of the field, highlighting the differences between recent studies and proposing a set of practices and premises, which are necessary for the operationalization of the proposed model.


Sign in / Sign up

Export Citation Format

Share Document