INSIGHTS ON SERVICE SYSTEM DESIGN FROM A NORMAL APPROXIMATION TO ERLANG'S DELAY FORMULA

We show how a simple normal approximation to Erlang's delay formula can be used to analyze capacity and staffing problems in service systems that can be modeled as M/M/s queues. The numbers of servers, s, needed in an M/M/s queueing system to assure a probability of delay of, at most, p can be well approximated by s ≅ p + z_***I-p+, where z_1-p, is the (1 - p)th percentile of the standard normal distribution and ρ, the presented load on the system, is the ratio of Λ, the customer arrival rate, to μ, the service rate. We examine the accuracy of this approximation over a set of parameters typical of service operations ranging from police patrol, through telemarketing to automatic teller machines, and we demonstrate that it tends to slightly underestimate the number of servers actually needed to hit the delay probability target—adding one server to the number suggested by the above formula typically gives the exact result. More importantly, the structure of the approximation promotes operational insight by explicitly linking the number of servers with server utilization and the customer service level. Using a scenario based on an actual teleservicing operation, we show how operations managers and designers can quickly obtain insights about the trade-offs between system size, system utilization and customer service. We argue that this little used approach deserves a prominent role in the operations analyst's and operations manager's toolbags.     

Construction and selection of quick switching double-sampling system: sample size tightening

A new sampling inspection system involving normal and tightened plans is presented. Performance measures are developed. The average sample number of the newly developed system is compared with those of existing plans. Procedures are indicated an tables are constructed for designing the system indexed by various combinations of parameters.     

Inequalities for variances of some functions of random variables

In this note we prove some inequalities for variances and other measures of deviation of functions of random variables. Based on these inequalities we find some corollaries concerning the variances of fractional powers of random variables and of sums of independent random variables.     

论现代逻辑的应用

现代逻辑的价值和意义,在于其在理论上的应用。对于纯数学的基础和结构来说,现代逻辑是一种非常有用的工具,包括哥德尔不完全性定理等,都利用了现代逻辑的技术和成果。某些现代逻辑技术已经广泛应用到了工程学之中,例如,计算机工程就基于现代逻辑的高级成果。反过来,这些应用又刺激了逻辑理论本身取得更多的进步。     

Quantitative Risk Assessment of Listeria monocytogenes in French Cold-Smoked Salmon: II. Risk Characterization

A model for the assessment of exposure to Listeria monocytogenes from cold-smoked salmon consumption in France was presented in the first of this pair of articles (Pouillot et al ., 2007, Risk Analysis, 27:683–700). In the present study, the exposure model output was combined with an internationally accepted hazard characterization model, adapted to the French situation, to assess the risk of invasive listeriosis from cold-smoked salmon consumption in France in a second-order Monte Carlo simulation framework. The annual number of cases of invasive listeriosis due to cold-smoked salmon consumption in France is estimated to be 307, with a very large credible interval ([10; 12,453]), reflecting data uncertainty. This uncertainty is mainly associated with the dose-response model. Despite the significant uncertainty associated with the predictions, this model provides a scientific base for risk managers and food business operators to manage the risk linked to cold-smoked salmon contaminated with L. monocytogenes. Under the modeling assumptions, risk would be efficiently reduced through a decrease in the prevalence of L. monocytogenes or better control of the last steps of the cold chain (shorter and/or colder storage during the consumer step), whereas reduction of the initial contamination levels of the contaminated products and improvement in the first steps of the cold chain do not seem to be promising strategies. An attempt to apply the recent risk-based concept of FSO (food safety objective) on this example underlines the ambiguity in practical implementation of the risk management metrics and the need for further elaboration on these concepts.     

中国出现新乡村性？——基于长江三角洲地区乡村旅游发展的研究

在中国,越来越多城市居民喜欢利用周末及节假日前往乡村地区休闲度假,给旅游地理学和休闲地理学研究带来了新的研究方向,为研究中国新型的甚至是未知的城乡关系提供了新的视角。这种新的休闲度假趋势主要产生于大中型城市周边的乡村地区。以位于长江三角洲的上海周边郊区为例,研究新型乡村旅游在城郊地区的发展,在保留和修缮传统乡村景观的同时,也产生出新型景观。旅游的发展促使乡村地区结构重组,建立了乡村旅游从业者的经营活动与当地农业发展之间的新联系。从中区分出两种乡村旅游经营模式:一种是为了适应当地乡村现代化发展需要并在当地政府支持下发展起来的乡村旅游示范村;另一种则是由个人开发且相对独立的小型农家乐或乡村旅游景点。这些地区乡村旅游的快速发展既有利于当地发展支柱产业,调整产业结构,扩大经济活动范围,也为城市居民重新审视乡村世界提供新视角。     

Territorial Impact Assessment for European regions: A methodological proposal and an application to EU transport policy

The need to engage European research and institutions in the new field of Territorial Impact Assessment, from both a methodological and a procedural perspective, was stated some years ago by the European Spatial Development Perspective (ESDP). The necessity of multidimensional evaluation of the likely impact of policies and programmes on the territory – understood as the dimension on which all the other relevant dimensions (economic, social, environmental and cultural) converge and with which they integrate – emerged as a natural consequence of the importance of spatial aspects in the future development of the Union and of widespread preoccupations about certain emerging spatial trends.A proposal for a TIA methodology combining logical consistency vis-à-vis the Union's present institutional and policy guidelines with operational viability is being developed and applied to Trans-European Networks policy of the EU. Territorial impact is linked to an innovative definition of the objective of “territorial cohesion” of the Treaties in terms of territorial efficiency, quality and identity.Utilising sectoral impact studies developed inside the ESPON programme and developing territorial indicators for impact, vulnerability and desirability (territorial utility functions), a multicriteria model (TEQUILA) is implemented on priority projects as defined by the Commission, and results mapped and described for the 1360 NUTS-3 regions of the Union.     

The exponential distribution analog of the Grubbs–Weaver method

Abstract

Grubbs and Weaver (1947 Grubbs, F. E., and C. L. Weaver. 1947. The best unbiased estimate of population standard deviation based on group ranges. Journal of the American Statistical Association 42 (238):224–41. doi: 10.2307/2280652.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) suggest a minimum-variance unbiased estimator for the population standard deviation of a normal random variable, where a random sample is drawn and a weighted sum of the ranges of subsamples is calculated. The optimal choice involves using as many subsamples of size eight as possible. They verified their results numerically for samples of size up to 100, and conjectured that their “rule of eights” is valid for all sample sizes. Here we examine the analogous problem where the underlying distribution is exponential and find that a “rule of fours” yields optimality and prove the result rigorously.     

20 years of Bologna - a story of success,a story of failure

The Bologna Process is a unique harmonisation process taking place outside the policy-making framework of the European Union. It aims at enhancing the comparability and compatibility of higher education structures and degrees across Europe, as well as to institutionalise quality assurance mechanisms. The aim of this article is to provide a condensed, up-to-date overview of the Bologna Process with regard to structural characteristics, before embedding it into a discussion on processes on voluntary policy convergence and to which extent we should be able to find this kind of policy harmonisation in the realm of the Bologna Process. Related to this are questions why this, in principle, completely voluntary process of policy harmonisation, has appealed to so many countries and why they might or might not feel committed to the implementation of its policies and tools.