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R2 versus r2 R2对R2
Pub Date : 2010-11-01 DOI: 10.1080/1941658X.2010.10462231
Shu-Ping Hu
Abstract Cost estimating relationships (CERs) with multiplicative-error assumptions are commonly used in cost analysis. Consequently, we need to apply appropriate statistical measures to evaluate a CER's quality when developing multiplicative error CERs such as minimum-unbiased-percentage error (MUPE) and minimum-percentage error under zero-percentage bias (ZMPE) CERs. Generalized R-squared (GRSQ, also denoted by the symbol r2) is commonly used for measuring the quality of a nonlinear CER. GRSQ is defined as the square of Pearson's correlation coefficient between the actual observations and CER-predicted values (see Young 1992). Many statistical analysts believe GRSQ is an appropriate analog to measure the proportion of variation explained by a nonlinear CER (see Nguyen and Lozzi, 1994), including MUPE and ZMPE CERs; some even use it to measure the appropriateness of shape of a CER. Adjusted R2 in unit space is a frequently used alternative measure for CER quality. This statistic translates the sum of squares due to error (SSE) from the absolute scale to the relative scale. This metric is used to measure how well the CER-predicted costs match the actual data set, adjusting for the number of estimated coefficients used in the model. There have been academic concerns over the years about the relevance of using Adjusted R2 and Pearson's r2. For example, some insist that Adjusted R2, calculated by the traditional formula, has no value as a metric except for ordinary least squares (OLS); others argue that Pearson's r2 does not measure how well the estimate matches database actuals for nonlinear CERs. This article discusses these concerns and examines the properties of these statistics, along with pros and cons of using each for CER development. In addition, this article proposes 1) a modified Adjusted R2 for evaluating MUPE and ZMPE CERs and 2) a modified GRSQ to account for degrees of freedom (DF).
成本估算关系是成本分析中常用的一种带有乘性误差假设的成本估算关系。因此,在开发乘法误差CER时,我们需要应用适当的统计度量来评估CER的质量,例如最小无偏百分比误差(MUPE)和零百分比偏差下最小百分比误差(ZMPE) CER。广义r平方(GRSQ,也用符号r2表示)通常用于测量非线性CER的质量。GRSQ定义为实际观测值与cer预测值之间的Pearson相关系数的平方(参见Young 1992)。许多统计分析人士认为,GRSQ是衡量由非线性CER解释的变异比例的适当类比(见Nguyen和Lozzi, 1994),包括MUPE和ZMPE CER;有些人甚至用它来衡量CER形状的适当性。单位空间的调整R2是一种常用的替代测量CER质量的方法。该统计量将误差平方和(SSE)从绝对尺度转换为相对尺度。该指标用于衡量cer预测的成本与实际数据集的匹配程度,并根据模型中使用的估计系数的数量进行调整。多年来,学术界一直关注使用调整后R2和皮尔逊R2的相关性。例如,一些人坚持认为,通过传统公式计算的Adjusted R2,除了普通最小二乘(OLS)之外,作为度量标准没有任何价值;另一些人则认为,皮尔逊的r2并不能衡量非线性cer的估计与数据库实际情况的匹配程度。本文将讨论这些问题,并检查这些统计信息的属性,以及在CER开发中使用每种统计信息的优缺点。此外,本文还提出了1)用于评估MUPE和ZMPE CERs的修正后的Adjusted R2和2)用于考虑自由度(DF)的修正后的GRSQ。
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引用次数: 4
Using Growth Models to Improve Accuracy of Estimates at Completion for over Target Baseline Contracts 使用增长模型提高超过目标基线合同完成时估算的准确性
Pub Date : 2010-11-01 DOI: 10.1080/1941658X.2010.10462233
Elizabeth T. Poulos, E. White
Abstract This study demonstrates the utility of using nonlinear growth modeling as an alternative to using the cost performance index (CPI), the schedule cost index (SCI), or the composite index methods for calculating estimates at completion (EAC) for over target baseline (OTB) contracts. Using contract performance report (CPR), data, we adopted the Gompertz Growth Curve Model to produce three EAC models: a production model, a development model, and a combined model. We used the mean absolute percentage error (MAPE) to evaluate the developed models. For 63% to 78% of OTB contracts, depending on model, the Gompertz Growth Models out-performed all three index-based methods for predicting the EAC.
本研究证明了使用非线性增长模型作为成本绩效指数(CPI)、进度成本指数(SCI)或综合指数方法计算超额目标基线(OTB)合同完工估算(EAC)的替代方法的效用。利用合同绩效报告(CPR)数据,我们采用Gompertz增长曲线模型,生成了三个EAC模型:生产模型、发展模型和组合模型。我们使用平均绝对百分比误差(MAPE)来评估开发的模型。根据模型的不同,对于63%至78%的OTB合同,Gompertz增长模型在预测EAC方面的表现优于所有三种基于指数的方法。
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引用次数: 1
Improving CER Building: Basing a CER on the Median 改进CER构建:基于中位数的CER
Pub Date : 2010-11-01 DOI: 10.1080/1941658X.2010.10462230
P. Foussier
The word “median” is used in this article as a generic term. It is generally used for a distribution (a set of values, such as the income of the population) that usually means a “onedimensional set.” In this article, the concept is expanded to also apply to multidimensional sets. Working with multidimensional sets of variables is what we do when we want to build a cost-estimating tool, such as a cost-estimating relationship (CER).
“中位数”一词在本文中用作通用术语。它通常用于表示“一维集合”的分布(一组值,例如人口的收入)。在本文中,将这个概念扩展为也适用于多维集。当我们想要构建成本估算工具(如成本估算关系(CER))时,就需要处理多维变量集。
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引用次数: 3
Commercial-Like Acquisitions: Practices and Costs 商业类收购:实践和成本
Pub Date : 2010-01-01 DOI: 10.1080/1941658X.2010.10462227
W. Alvarado, D. Barkmeyer, E. Burgess
Abstract Government attempts to procure space systems in a commercial-like manner usually involve a fixed-price contract for slightly modified commercial satellites or, in some cases, a completely new payload on a commercial product-line bus. Cost to deliver these systems ends up somewhere between a purely commercial contract and a traditional government cost-reimbursable program. While technical risks and engineering complexity play a big role, a system's final cost within this spectrum is also influenced by its “acquisition complexity,” which includes factors such as the amount and type of third-party oversight, the number of contract data deliverables, subcontractor management processes, parts/materials management requirements, and contract scope. Size of the contractor's business base is also a significant factor. Government cost estimating methods for commercial-like programs in the past have relied on decrements to government cost models by analogy to selected commercial programs. These methods have been difficult to substantiate and defend, so an approach to measure the cost impact of commercial acquisition practices is needed. With full participation from industry, the National Reconnaissance Office Cost Analysis Improvement Group (NRO CAIG) conducted a detailed data collection, survey, and analysis of over 60 commercial and commercial-like satellite acquisitions. Included were interviews with program managers, system engineers, and cost/pricing analysts from multiple satellite vendors. Results of this work built on prior commercial-vs.-government studies by quantifying the “acquisition complexity” of the systems studied and showing that it was strongly correlated to actual system costs. Our article includes an overview of the underlying commercial and government data, a description of the metrics collected, the acquisition-complexity scoring method, and the resulting model for estimating commercial-like acquisitions. This model assigns a score to any government or commercial procurement based on the details of its acquisition approach and then translates that score into a cost estimate. It is a valuable addition to the NRO CAIG's estimating toolkit, but it also serves as a feedback mechanism to NRO management about when a commercial-like acquisition approach may or may not be appropriate.
政府试图以类似商业的方式采购空间系统,通常涉及对商业卫星进行轻微修改的固定价格合同,或者在某些情况下,在商业产品线总线上使用全新的有效载荷。交付这些系统的成本最终介于纯粹的商业合同和传统的政府成本报销计划之间。虽然技术风险和工程复杂性扮演着重要的角色,但系统的最终成本也受到其“获取复杂性”的影响,其中包括第三方监督的数量和类型、合同数据交付的数量、分包商管理过程、零件/材料管理要求和合同范围等因素。承包商的业务基础规模也是一个重要因素。过去,类似商业项目的政府成本估算方法依赖于通过类比选定的商业项目来减少政府成本模型。这些方法很难证实和辩护,因此需要一种方法来衡量商业获取实践的成本影响。在工业界的充分参与下,国家侦察局成本分析改进小组(NRO CAIG)对60多个商业和类商业卫星采办进行了详细的数据收集、调查和分析。包括对来自多个卫星供应商的项目经理、系统工程师和成本/定价分析师的采访。这项工作的结果建立在先前的商业对比。通过量化所研究系统的“获取复杂性”,并表明它与实际系统成本密切相关。我们的文章包括对潜在的商业和政府数据的概述,对收集的度量标准的描述,收购复杂性评分方法,以及用于估计类似商业收购的结果模型。该模型根据任何政府或商业采购的采购方法细节给其打分,然后将该分数转化为成本估算。它是NRO CAIG评估工具包的一个有价值的补充,但它也可以作为NRO管理层的反馈机制,告诉他们什么时候类似商业的采收方法可能合适,或者可能不合适。
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引用次数: 1
NASA Productivity 美国国家航空航天局的生产力
Pub Date : 2010-01-01 DOI: 10.1080/1941658X.2010.10462228
Tom Coonce, R. Bitten, Joseph Hamaker, H. Hertzfeld
Abstract Studying the productivity of any government organization is difficult. Agencies have multiple mission objectives and budget and accounting systems that are very different from those of proft-making firms, and, particularly for a research and development (R&D) agency such as the National Aeronautical Space Administration (NASA), obtaining the greatest quantity using the least resources is not always the best way of producing cutting-edge technology. In short, a government agency is not a private-sector company with the principal objective of making a profit for investors. NASA is a complex R&D organization, producing or managing the production of many different space components. For this study, only the subset of NASA programs that involve the manufacturing of satellites is used for measuring productivity because 1) there is a rich historical data base of cost estimates for NASA satellite manufacturing, 2) similar estimates exist for other government agencies that build satellites (the Air Force and other defense agencies), and 3) the commercial sector produces many private (particularly communications) satellites. Our study has three components. The first is a direct evaluation of NASA's efficiency over time in manufacturing both communications and scientific satellites. Since NASA management of this production includes both in-house and contractor efforts, a more direct comparison is possible between commercial efforts for NASA and the commercial production of private use satellites. The second component of the study compares NASA production programs with those of other agencies and even with similar manufacturing programs at the European Space Agency (ESA). The third approach to this analysis convened a workshop that had representatives from various government agencies, major commercial manufacturers, and academics and consultants who have first-hand knowledge of the satellite manufacturing process and of managing relevant government and commercial procurement projects. The results of the workshop provided an excellent check on the results of our analysis of government operations and comparative inputs from the commercial satellite manufacturing sector. The results of these three separate approaches were remarkably similar. NASA, on average, seems no better or worse in efficiency than other government agencies, including foreign manufacturing programs such as those of ESA. Government R&D agencies, however, often cannot match the efficiency and productivity of commercial satellite manufacturers. Their products are sufficiently different from those of NASA and need to be compared only very selectively in terms of productivity. Interestingly, it was also found that NASA could improve its efficiency in a variety of ways. And, contrary to popular literature, not all of the reasons for NASA (and other government agencies) inefficiencies result from Congressional mandates such as the lack of multi-year funding commitments for long-term projec
研究任何政府组织的生产力都是一个困难的问题。机构有多种任务目标,预算和会计系统与营利公司非常不同,特别是对于像美国国家航空航天局(NASA)这样的研发机构来说,用最少的资源获得最多的数量并不总是生产尖端技术的最佳方式。简而言之,政府机构不是以为投资者赚取利润为主要目标的私营公司。NASA是一个复杂的研发机构,生产或管理许多不同空间部件的生产。在本研究中,只有涉及卫星制造的NASA项目子集被用于测量生产力,因为1)有丰富的NASA卫星制造成本估算的历史数据库,2)类似的估算存在于其他建造卫星的政府机构(空军和其他国防机构),以及3)商业部门生产许多私人(特别是通信)卫星。我们的研究有三个组成部分。第一个是直接评估NASA在制造通信和科学卫星方面的效率。由于NASA对这种生产的管理包括内部和承包商的努力,因此可以更直接地比较NASA的商业努力和私人用途卫星的商业生产。该研究的第二部分将NASA的生产计划与其他机构的生产计划甚至与欧洲航天局(ESA)的类似制造计划进行了比较。这一分析的第三种方法召开了一次讲习班,与会者包括来自不同政府机构、主要商业制造商以及对卫星制造过程和管理有关政府和商业采购项目有第一手知识的学者和顾问的代表。讲习班的结果很好地检验了我们对政府运作的分析结果和商业卫星制造部门的比较投入。这三种不同方法的结果非常相似。平均而言,美国国家航空航天局在效率方面似乎没有比其他政府机构更好或更差,包括欧空局等外国制造项目。然而,政府研发机构往往无法与商业卫星制造商的效率和生产力相提并论。他们的产品与美国宇航局的产品有很大的不同,只需要在生产率方面进行非常有选择性的比较。有趣的是,研究还发现NASA可以通过多种方式提高效率。而且,与流行文献相反,并非所有导致NASA(和其他政府机构)效率低下的原因都是由于国会的命令,比如缺乏长期项目的多年资金承诺。在不损害研发部分和研究卫星质量的情况下,NASA署长有权力实施重要的改革,以帮助节省资金和提高机构的生产力。
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引用次数: 0
Quality Cost Estimates to Serve the Economic Recovery 质量成本估算服务于经济复苏
Pub Date : 2010-01-01 DOI: 10.1080/1941658X.2010.10462225
H. Joumier
Since 2005, a number of renowned personalities of the profession have already expressed their views in the Journal of Parametrics and the Journal of Cost Analysis and Parametrics (JCAP) about what makes a good cost estimate (Hartley 2006; Hamaker 2007; Janda 2008; Bagby 2009). All that has been written so far makes a lot of sense, and I fully concur with it, so I am left with the difficult task to add something equally smart. I will quickly list ideas of what makes a quality cost estimate based on what has already been identified by the aforementioned authors, and I invite everyone to read these excellent articles in detail. The term “quality cost estimate” induces notions such as accuracy and effort commensurate with the acquisition stage, completeness including a cost–risk assessment, solidity of the basis of estimate, link to the schedule, realism, non-advocacy, independence, fairness, cross-checks with results derived from independent methods, and communicability. I will then add a few words on some peculiarities that may be of help for further understanding of what quality estimates are:
自2005年以来,一些业内知名人士已经在《参数学杂志》和《成本分析与参数学杂志》(JCAP)上表达了他们关于如何进行良好成本估算的观点(Hartley 2006;Hamaker 2007;简达2008;Bagby 2009)。到目前为止所写的所有内容都很有意义,我完全同意它,所以我剩下的艰巨任务是添加一些同样聪明的东西。我将快速列出基于上述作者已经确定的内容进行质量成本估算的想法,并且我邀请每个人详细阅读这些优秀的文章。术语“质量成本估算”引出了诸如与获取阶段相称的准确性和工作量、包括成本风险评估的完整性、估算基础的可靠性、与进度的联系、现实性、非倡导性、独立性、公平性、与来自独立方法的结果的交叉检查,以及可沟通性等概念。然后,我将补充一些可能有助于进一步理解质量评估的特点:
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引用次数: 0
Basic Economic Principles: A Methodical Approach to Deriving Production Cost Estimating Relationships (CERs) 基本经济学原理:生产成本估算关系的系统推导
Pub Date : 2010-01-01 DOI: 10.1080/1941658X.2010.10462229
Roy E. Smoker
This article addresses some of the classical methods of analysis, data collection, presentation, and interpretation of cost-estimating problems in the context of applied economic theory. The purpose is to show that basic microeconomic principles imply mathematical properties for which the uncertain values of the parameters may be measured using statistical methods of analysis. While statistics may be defined as the collection, presentation, analysis, and interpretation of numerical data, economic theory is concerned with relationships among variables. Since economic phenomena are not obtained from statistically controlled experiments1, special methods of analysis of non-experimental data have to be devised to explain related patterns of behavior. In this article, I examine a simple equation where cost is a function of one or more cost drivers and shows that specifications of the process by which the independent variables (cost drivers) are generated, the process by which unobserved disturbances are generated, and the relationship connecting these to the observed dependent variables (e.g., cost) are necessary to rely on the rules and criteria of statistical inference to develop a rational method of measuring the economic theory relationship from a given sample of observations. Finally, I explore specific tests of hypotheses to check whether or not the classical statistical assumptions of normality, homoscedasticity, and independence of successive errors are met. Before turning attention to the properties of statistical experiments and data collection, it is necessary to describe some of the basic technical aspects of the system that a cost estimator must consider when developing or applying cost-estimating relationships. First, each system is made up of several subsystems and their corresponding components. These components, identified as the lowest-level elements for which a cost estimate is required, are defined as the basic work breakdown structure (WBS) end items that, when integrated into the total system, define the scope of work to be estimated by the application of CERs to each element. For each end item in the WBS, the cost estimator must select the appropriate cost model, CER, or analogous cost-progress curve to estimate the costs. Consideration as to what is appropriate depends on the definition for each WBS end item. The following questions must be addressed:
本文讨论了应用经济理论背景下成本估算问题的一些经典分析、数据收集、呈现和解释方法。其目的是表明,基本的微观经济学原理蕴涵着数学性质,对于这些性质,参数的不确定值可以用统计分析方法来测量。统计可以被定义为对数字数据的收集、呈现、分析和解释,而经济理论关注的是变量之间的关系。由于经济现象不是从统计控制的实验中得到的,所以必须设计出分析非实验数据的特殊方法来解释相关的行为模式。在本文中,我研究了一个简单的方程,其中成本是一个或多个成本驱动因素的函数,并显示了产生自变量(成本驱动因素)的过程规范,产生未观察到的干扰的过程,以及将这些与观察到的因变量(例如,必须依靠统计推断的规则和标准,从给定的观察样本中发展出一种衡量经济理论关系的合理方法。最后,我探讨了假设的具体检验,以检查是否符合经典统计假设的正态性、均方差和连续误差的独立性。在将注意力转向统计实验和数据收集的特性之前,有必要描述成本估算者在开发或应用成本估算关系时必须考虑的系统的一些基本技术方面。首先,每个系统都由几个子系统及其相应的组件组成。这些组件被确定为需要进行成本估算的最低级别元素,它们被定义为基本工作分解结构(WBS)最终项目,当集成到整个系统中时,它们定义了通过对每个元素应用cer来估算的工作范围。对于WBS中的每个最终项目,成本估算人员必须选择适当的成本模型、CER或类似的成本进度曲线来估算成本。考虑什么是合适的取决于每个WBS最终项目的定义。必须解决下列问题:
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引用次数: 0
Economic Survey of the Monetary Value Placed on Human Life by Government Agencies in the United States of America 美国政府机构对人的生命的货币价值的经济调查
Pub Date : 2010-01-01 DOI: 10.1080/1941658X.2010.10462226
J. Silny, R. Little, D. S. Remer
Abstract This article presents the methods used by U.S. government agencies to assign a monetary value to human life as mandated by three Executive Orders. Since 1978, all regulations with an impact greater than $100 million require a supporting analysis. By accounting for inflation over the past 28 years, this threshold has effectively been reduced by 2.5 to 3.0 times in real dollars. Monetary values assigned to a life directly impact the approval of government proposed projects through cost-benefit and cost-effectiveness analysis. Two major methods are used to determine the value of a life. First, the value of a statistical life emphasizes that monetary value is not directly placed on life but rather on methodologies to prevent the statistical loss of life. Second, willingness to pay is the monetary value that an individual would pay to prevent the loss of their life. Previous works cite values of life ranging from $0.1 to $86.8 million (in year 2006 dollars U.S.). The values of a human life used by U.S. government agencies have significantly changed over time. The values used by government agencies in 2006 are as follows: the Department of Transportation and the Federal Aviation Administration — $3.0 million, the Environmental Protection Agency — $6.1 million, the Food and Drug Administration — $6.5 million, and the Consumer Products Safety Commission—$5.0 million. We believe that a single value should be used across all U.S. government agencies to provide consistency and fairness. We also believe that the $100 million minimum regulation threshold should be increased to account for inflation.
摘要:本文介绍了美国政府机构根据三个行政命令的规定,为人类生命分配货币价值的方法。自1978年以来,所有影响超过1亿美元的法规都需要进行支持性分析。考虑到过去28年的通货膨胀,以实际美元计算,这一门槛实际上降低了2.5至3.0倍。通过成本效益和成本效益分析,分配给生命的货币价值直接影响政府拟议项目的批准。确定生命价值的主要方法有两种。首先,统计生命的价值强调,货币价值不是直接放在生命上,而是放在防止统计生命损失的方法上。第二,支付意愿是指个人为防止丧失生命而愿意支付的货币价值。之前的作品中所引用的生命价值从10万美元到8680万美元不等(以2006年的美元计算)。随着时间的推移,美国政府机构使用的人的生命价值发生了重大变化。政府机构在2006年使用的价值如下:运输部和联邦航空管理局- 300万美元,环境保护局- 610万美元,食品和药物管理局- 650万美元,消费者产品安全委员会- 500万美元。我们认为,应该在所有美国政府机构中使用单一的价值观,以提供一致性和公平性。我们还认为,应提高1亿美元的最低监管门槛,以考虑到通货膨胀。
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引用次数: 8
Organizational Structure Impacts Flight Software Cost Risk 组织结构对飞行软件成本风险的影响
Pub Date : 2009-07-01 DOI: 10.1080/1941658X.2009.10462222
J. Hihn, K. Lum, E. Monson
The Jet Propulsion Laboratory (JPL) has a long record of successful deep-space missions from Explorer to Voyager, to Mars Pathfinder, to Galileo to Mars Odyssey, to name but a few. Our experience and success, as with the rest of the aerospace industry, is built on our hardware and system-level expertise. Throughout the 1990s, software came to play an increasingly more significant role in spacecraft integration, risk, and overall workforce at JPL as well as at other aerospace organizations. During the late 1990s, the importance of software was magnified when a number of JPL-managed missions experienced significant flight software cost growth. In addition, several missions exhibited software-related schedule slips impacting or threatening to impact the planned launch dates. These slips occurred on both in-house and contracted software development projects. In response, JPL funded a 1999 study to identify the systemic causes of reported flight software cost growth and to develop a set of recommendations to reduce the flight software-development cost risk. The results of the 1999 study were reported in two articles. The first article identified the root causes of the observed flight software cost growth (Hihn and Habib-agahi, 2000a), and the second described a set of proposed strategies and policies to reduce software cost growth on future missions (Hihn and Habib-agahi, 2000b). A major recommendation of these studies was to change the organizational structure of a software project so that the software manager had more responsibilities and accessible reporting relationships. In 2003 to 2004, a follow-up study was conducted on seven flight projects that launched from summer of 2001 to 2005, to see if anything had changed since 1999 and if any of the initial report’s recommendations had been implemented. The preliminary results of the follow-up study (Hihn et al., 2003) indicated that having a software management team in place well before system preliminary design review (PDR) with budget and design authority did significantly reduce the likelihood of post-PDR software cost growth. The result that organizational and management structure of software projects has a significant impact on software cost growth, is consistent with Capers Jones’ conclusion that, “deficiencies of the project management function is a fundamental root cause of software disaster” (Jones 1996, 152). The importance of communication was also documented in (Hihn et al. 1990), which showed that the impact of software volatility on software development productivity was greatly mitigated when there was extensive communication within a software development team and between the team and customers. This article summarizes the final results of the follow-up study updating the estimated software effort growth for those projects that were still under development and includes an evaluation of the software management roles versus observed cost risk for the missions included in the original stud
喷气推进实验室(JPL)在深空探测任务方面有着悠久的成功记录,从探索者到旅行者,到火星探路者,从伽利略到火星奥德赛,仅举几例。我们的经验和成功,与其他航空航天工业一样,是建立在我们的硬件和系统级专业知识之上的。在整个20世纪90年代,软件开始在航天器集成、风险和JPL以及其他航空航天组织的整体劳动力中扮演越来越重要的角色。在20世纪90年代后期,当许多喷气推进实验室管理的任务经历了显著的飞行软件成本增长时,软件的重要性被放大了。此外,一些任务显示出与软件相关的时间表延误,影响或可能影响计划的发射日期。这些失误发生在内部和外包的软件开发项目中。作为回应,JPL资助了1999年的一项研究,以确定报告的飞行软件成本增长的系统原因,并制定一套建议来减少飞行软件开发成本风险。1999年的研究结果发表在两篇文章中。第一篇文章确定了观测到的飞行软件成本增长的根本原因(Hihn and Habib-agahi, 2000a),第二篇文章描述了一组拟议的策略和政策,以减少未来任务的软件成本增长(Hihn and Habib-agahi, 2000b)。这些研究的主要建议是改变软件项目的组织结构,以便软件经理有更多的责任和可访问的报告关系。2003年至2004年,对2001年夏季至2005年夏季启动的七个飞行项目进行了一项后续研究,以了解自1999年以来是否有任何变化,以及最初报告的建议是否得到了实施。后续研究的初步结果(Hihn et al., 2003)表明,在拥有预算和设计权限的系统初步设计审查(PDR)之前就有一个软件管理团队,确实显著降低了PDR后软件成本增长的可能性。软件项目的组织和管理结构对软件成本增长有显著影响的结果,与Capers Jones的结论“项目管理功能的缺陷是软件灾难的根本根源”(Jones 1996,152)是一致的。(Hihn et al. 1990)中也记录了沟通的重要性,这表明当软件开发团队内部以及团队与客户之间有广泛的沟通时,软件波动性对软件开发生产力的影响会大大减轻。本文总结了后续研究的最终结果,更新了那些仍在开发中的项目的估计软件工作增长,并包括对软件管理角色与原始研究中包括的任务的观察成本风险的评估,该研究将数据集扩展到15个任务。在2004年研究报告的最后版本中,更新了那些尚未启动的特派团的估计费用增长,并评价了1999年研究报告中各特派团软件管理人员的角色说明,以便扩大数据集,更好地记录他们在两项研究之间角色的任何变化。扩展后的数据集可以扩展分析,以包括对成本增长的潜在影响的影响
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引用次数: 0
Combining Probabilistic Estimates to Reduce Uncertainty 结合概率估计减少不确定性
Pub Date : 2009-07-01 DOI: 10.1080/1941658X.2009.10462224
Stephen A. Book
Abstract Suppose we have contracted for or otherwise obtained n probabilistic estimates, expressed as random variables, independent of each other, of the same system or project. This assumption means that we have, for each estimate, a random variable having a probability distribution (likely something close to the lognormal), an S-curve, a mean, and a standard deviation. We want to combine these n estimates to obtain one estimate that contains less uncertainty than each of the n estimates individually. There are two questions that we have to answer: 1) How should we “combine” the estimates? and 2) Will the combined estimate actually be less uncertain than each of the n independent estimates individually? For this issue to be meaningful, we must assume that each of the estimates is “correct,” i.e., 1) they are neither too optimistic, nor too pessimistic, but are based on risk assessments validly drawn from the same risk information available to each estimating team; 2) each estimating team has applied appropriate mathematical techniques to the cost-risk analysis, including, for example, inter-element correlations when appropriate; and 3) each estimating team was working from the same ground rules but may have applied different estimating methods and made different assumptions when encountering the absence of some information required by their estimating method.
摘要:假设我们已经对同一系统或项目的n个概率估计进行了收缩或以其他方式获得了n个概率估计,它们表示为相互独立的随机变量。这个假设意味着,对于每个估计,我们有一个随机变量具有概率分布(可能接近对数正态),s曲线,平均值和标准差。我们想把这n个估计值结合起来得到一个估计值它包含的不确定性比n个估计值中的每一个都要小。我们必须回答两个问题:1)我们应该如何“合并”这些估计?2)组合估计值的不确定性是否比n个独立估计值中的每一个都小?为了使这个问题有意义,我们必须假设每个评估都是“正确的”,即,1)它们既不是太乐观,也不是太悲观,而是基于从每个评估团队可用的相同风险信息中有效提取的风险评估;2)每个估算团队已将适当的数学技术应用于成本风险分析,包括,例如,适当时,元素间的相关性;3)每个评估团队都基于相同的基本规则进行工作,但在遇到评估方法所需的某些信息缺失时,可能应用了不同的评估方法并做出了不同的假设。
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引用次数: 1
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Journal of Cost Analysis and Parametrics
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