Measurement of Dynamic Efficiency in Production: An Application of Data Envelopment Analysis to Japanese Electric Utilities

The purpose of this paper is to measure productive efficiencies when a firm employs quasi-fixed inputs that cannot be instantaneously adjusted to their optimal levels. To this end, data envelopment analysis (DEA) is extended to a dynamic framework so that investment behavior can be modelled with the efficient production frontier. Based on the work of Nemoto and Goto (1999), we show how the efficiencies of quasi-fixed inputs and their adjustment processes are evaluated. An application to Japanese electric utilities over the 1981–1995 period delivers empirically plausible results and proves the usefulness of the procedure.     

Infrastructure-production system dynamics in national and regional systems: An econometric study of the Indian economy

Treating infrastructure inputs as quasi-fixed in the short run, a multi-equation econometric model of production-infrastructure (social overhead capital) interlinkages and adjustments is developed based on a flexible functional form. Adjustment dynamics are endogenized and costs of adjustments are explicitly incorporated. The model is estimated with regional and national data from India; results include optimal paths and speeds of adjustments for infrastructure inputs market inputs' own and cross-price elasticities and demand elasticities with respect to the level of output, infrastructure stocks and associated user costs; and production cost elasticities with respect to output and infrastructure stocks.     

Firm efficiency and stock returns

In this paper, we investigate the role of firm efficiency in asset pricing using a sample of US publicly listed companies for the period 1988–2007. We employ non-parametric data envelopment analysis (DEA) on various input/output combinations, focusing on sales and market value as output measures in the construction of the frontier technologies. Using these performance measures, we examine whether efficient firms perform differently from inefficient firms following standard financial analysis procedures. First, we employ performance attribution regressions, by forming portfolios based on efficiency scores and tracking the performance of the various portfolios over time. Second, we perform cross-sectional/panel regressions to determine whether firm efficiency indeed has explanatory power for the cross-section of stock returns. Our results suggest that firm efficiency plays an important role in asset pricing and that efficient firms significantly outperform inefficient firms even after controlling for known risk factors.     

Decomposing the operational efficiency of major cruise lines: A network data envelopment analysis approach in the presence of shared input and quasi-fixed input

To examine the top cruise lines' operational efficiency in three dimensions, namely, production, marketing, and profitability, this study adopts a network data envelopment analysis approach considering shared and quasi-fixed input factors. The empirical results reveal the following findings. First, the production process tends to outperform marketing and profitability processes. Second, inefficiency of a cruise line mostly stems from overconsumption of the exogenous inputs in each process and the shared input. Third, the relationships between operational efficiency of cruise lines and some categorical factors are examined. Finally, some managerial implications derived from the empirical results are formulated for cruise lines.     

Corporate hedging and input price risk

Input price variability is an important source of risk for corporations that process raw commodities. Models of optimal input hedging are developed in this paper based on the maximization of managerial expected utility. The relationship between hedging strategies and output decisions is examined to assess the impact of the ability to set output prices on futures market participation. As a firm's ability to set output prices diminishes in the short run, input futures positions increase although the optimal hedge ratio may either increase or decrease. For a perfectly competitive firm, however, shifts in output price caused by input price changes provide a natural cash market hedge of input price risk and reduce the firm's optimal input futures position.     

Sensitivity Analysis of an Efficient DMU in DEA Model with Variable Returns to Scale (VRS)

In this paper we consider the Variable Returns to Scale (VRS) Data Envelopment Analysis (DEA) model. In a DEA model each Decision Making Unit (DMU) is classified either as efficient or inefficient. Changes in inputs or outputs of any DMU can alter its classification, i.e. an efficient DMU can become inefficient and vice versa. The goal of this paper is to assess changes in inputs and outputs of an extreme efficient DMU that will not alter its efficiency status, thus obtaining the region of efficiency for that DMU. Namely, a DMU will remain efficient if and only if after applying changes this DMU stays in that region. The representation of this region is done using an iterative procedure. In the first step an extended DEA model, whereby a DMU under evaluation is excluded from the reference set, is used. In the iterative part of the procedure, by using the obtained optimal simplex tableau we apply parametric programming, thus moving from one facet to the adjacent one. At the end of the procedure we obtain the complete region of efficiency for a DMU under consideration.     

Technological progress in the Brazilian agriculture

We analyze technical progress in the Brazilian agriculture in the period 1976–2016. Output is production value and inputs are expenses on land, labor, and other inputs. Data Envelopment Analysis (DEA) measures are used to capture technological progress via efficiency analysis. Filtering the data with a moving average and fractional regression we identify four periods with distinct behavior of technical efficiency under constant or decreasing returns to scale. From 1976 to 1988 and from 1996 to 2007 technical efficiency decreases at statistically significant rates of −1.74% and −0.26% respectively. From 1989 to 1995 and from 2008 to 2016 efficiency increases at statistically significant rates of 1.53% and 1.75% respectively. Efficiency of input use varies in these periods and is computed as a byproduct of the DEA analysis. We observe a more efficient usage of land and other inputs. A parametric fit using adjusted efficient inputs indicate the relative elasticities of 40.5%, 38.5% and 21.0% for other inputs, land and labor, respectively. Technological progress increases 3.73% in the period 1976–1988, decreases 1,58% between 1989 and 1995, increases 0.17% in the period 1996–2007 and increases 1.01% between 2008 and 2016. Technological inputs are statistically significantly influential on total factor productivity as indicated by an infinite distributed lag model. The long run elasticity effect is 39.5%. The effect of investments (public) in agricultural research has a significant elasticity of 0.835.     

Congestion, ownership, region of operation, and scale: Their impact on bus operator performance in Norway

The goal of this paper is to determine the impact that inputs such as fuel consumption and total number of workers employed have on operators’ efficiency in the Norwegian bus industry. Further, we investigate operations characteristics that are associated with the inefficient use of inputs in bus operations. This information is highly relevant for the subsidizers (decision-makers) since resource inefficiency leads to greater costs (ceteris paribus). We use Data Envelopment Analysis (DEA) to explore these issues. The results suggest that there is, in general, a potential for input saving in the sector of about 21%. No significant differences were found between urban and bus rural operators with respect to efficiency scores; neither were there any performance differences with respect to ownership. This latter result deviates from previous international studies, and can likely be explained by the lack of competition in the Norwegian bus industry. A particularly interesting result suggests a formidable degree of input congestion in the Norwegian bus industry, which is in contrast to previous international studies on such congestion.     

The Dynamics of Efficiency Improving Input Allocation

A dynamic theory of efficiency improving input reallocations is presented which relaxes the assumption that decision-making units have the ability to reorganize their activities instantaneously to achieve efficient input allocations. Explicit account is taken of the decision-making unit’s gradual transition to an efficient input allocation. A balanced panel data set covering 906 U.S. agricultural banks is constructed for the period 1996–2000 and we find that these banks are allocatively efficient but technically inefficient. The explicit solution for the optimal input use finds evidence of gradual transitions for two of the three inputs, with the labor input transition being the slowest. The efficiency improving path finds the firm transitions toward an efficient allocation by simultaneously improving on technical efficiency instantaneously and on allocative efficiency intertemporally, which suggests a non-linear path toward the most efficient allocation.     

Rate of return regulation and the Le Chatelier principle

This paper examines whether rate-of return regulation alters the input quantities firms use to produce their selected output level when the corresponding input prices change, in a manner similar to the Le Chatelier principle. More specifically, would the change in a rate regulated firm’s input quantity due to a change in its input price be less price elastic than the unregulated firm’s change in the input quantity due to a change in its input price. We follow Färe and Logan (1986), Nelson and Wohar (1983) in estimating a rate regulated cost function and capital input share system of equations. Using a 1992–2000 panel of 34 US major investor-owned electric utilities, empirical results indicate that the regulated own-input price elasticities of demand for labor and fuel are less price elastic than their corresponding unregulated own-input price elasticities of demand (a Le Chatelier principle type effect). Having a fuel clause (1) reduces the firm’s willingness to substitute from fuel to either non-fuel (capital, labor) input when the price of fuel rises, and (2) enhances the firm’s willingness to substitute from non-fuel inputs to fuel when the price of non-fuel inputs rises.     

Backward Integration by a Dominant Firm

This paper studies the welfare consequences of a vertical merger that raises rivals' costs when downstream competition is a la Cournot between firms with constant asymmetric marginal costs. The main result is that such a vertical merger can nevertheless improve welfare if it involves a downstream firm whose cost is low enough. This is because by raising the input price paid by the nonmerging firms the merger shifts production away from those relatively inefficient producers in favor of the more efficient firm. Yet, there is a trade-off between the gain in productive efficiency and the loss in consumers' surplus caused by the higher downstream price that follows a higher input price. It is also shown, through an example, that this result extends to price competition with differentiated products.     

A Note on the Technical and Allocative Efficiency of Local Exchange Carriers in the United States

The issue explored is whether incentive regulation of local exchange carriers in the United States has resulted in an increase in efficiency. After providing an overview of the nature of incentive regulation, the methodology for measuring the effects of incentive regulation on efficiency is reviewed. This methodology is data envelopment analysis and allows for the measurement of both technical efficiency and allocative efficiency of individual local exchange carriers. The results of empirically implementing the DEA approach indicate that there is little change in technical efficiency. In fact average technical efficiency in 1988 was the same as in 2001. Next, while outputs continued to grow at about their historical rate across LECs, the sizeable increase in the two types of capital increased inputs well above their historical average rates for some LECs leading to short run allocative inefficiency. On average, however, allocative efficiency shows no identifiable trend between 1988 and 2001. Finally, in the aggregate, total economic efficiency does not demonstrate any trend between 1988 and 2001.     

Short-run labor productivity in a dynamic model

A classic empirical finding is that the short-run output elasticity of demand is smaller than unity and is less than in the long run. This phenomenon is called ‘short-run increasing returns to labor’ (SRIRL). In this paper we analyze SRIRL using a dynamic factor demand model for variable and quasi-fixed inputs, where the latter incur increasing marginal internal adjustment costs. Speeds of adjustment of quasi-fixed inputs are endogenous and variable, not constant parameters. Labor hoarding is shown to be neither necessary nor sufficient for SRIRL. These results are illustrated empirically using annual U.S. manufacturing data, 1952-71.     

Production location and random input price

The purpose of this paper is to develop systematically the theory of plant location for a competitive firm facing random input price. It will be shown that the impact of input price uncertainty on the firm's optimum location depend crucially upon (i) the firm's attitude toward risk, (ii) the characteristics of the production function, (iii) the structure of transport costs on inputs and output, and (iv) the type of input usages. Moreover, and more importantly, some conclusions obtained by prior studies on location theory in a certainty world can also be shown to be special cases of our more general results, but some are not justifiable in a world with random input price.     

Classification transitions under expansion of inputs and outputs in data envelopment analysis

An exchange between Thomas R. Nunamaker and T. Ahn, A. Charnes and W. W. Cooper which revolves around possible behavior of the DEA efficiency measure. In particular, Ahn, Charnes and Cooper provide a counterexample to Nunamaker's assertion that adding inputs to a DMU (Decision Making Unit) which had previously attained an efficiency of 0* = 1 with fewer inputs would never alter this value, no matter how inefficient the use of the additional inputs. Here we want to add additional insight by showing the condition under which Nunamaker's proposition is true. Using the notation and concepts from Charnes, Cooper and Thrall, we shall see that this proposition is true if and only if the previously attained 0* = 1 is uniquely optimal.     

中国省际高技术产业效率测度与分解——基于共享投入关联DEA模型

本文基于高技术产业科技成果产出和科技成果转化为生产力两阶段视角,考虑"中间产品产出再投入"和"初始投入在两个子系统间的分配结构",构建共享投入关联DEA模型,利用1999～2010年我国29个省份的面板数据,测算高技术产业系统效率和子系统的纯技术效率,并与关联DEA模型、BCC模型的结果进行比较。结果表明,共享投入关联DEA模型在计算效率水平的同时,还可得到中间产品的转化信息和初始投入的配置信息。     

A structure for classifying and characterizing efficiency and inefficiency in Data Envelopment Analysis

DEA (Data Envelopment Analysis) attempts to identify sources and estimate amounts of inefficiencies contained in the outputs and inputs generated by managed entities called DMUs (Decision Making Units). Explicit formulation of underlying functional relations with specified parametric forms relating inputs to outputs is not required. An overall (scalar) measure of efficiency is obtained for each DMU from the observed magnitudes of its multiple inputs and outputs without requiring use of a priori weights or relative value assumptions and, in addition, sources and amounts of inefficiency are estimated for each input and each output for every DMU. Earlier theory is extended so that DEA can deal with zero inputs and outputs and zero virtual multipliers (shadow prices). This is accomplished by partitioning DMUs into six classes via primal and dual representation theorems by means of which restrictions to positive observed values for all inputs and outputs are eliminated along with positivity conditions imposed on the variables which are usually accomplished by recourse to nonarchimedian concepts. Three of the six classes are scale inefficient and two of the three scale efficient classes are also technically (zero waste) efficient.The refereeing process of this paper was handled through R. Banker. This paper was prepared as part of the research supported by National Science Foundation grant SES-8722504 and by the IC² Institute of The University of Texas and was initially submitted in May 1985.     

基于“城房指数”的中国城市新建商品住房市场有效性研究

本文采用2006年1月至2009年8月我国10个大中城市“城房指数”数据,检验了新建商品住宅市场的有效性,结果显示市场无效是较为普遍的现象。进一步的研究说明,特定的市场参与者可以在无效市场中通过积极预测价格而获得更好的回报。但对一般投资者而言,由于目前调整持有房地产资产比例的投资行为将产生极高的交易费用,获得这一套利机会并不现实。如果未来我国资本市场上出现房地产衍生证券,该问题有可能得到解决,市场有效性也会得到提高。     

The Efficiency of Input Use During the Early Transition in Hungary

This paper uses Hungarian firm level panel data for the agricultural and light manufacturing sectors during the early years of the transition to investigate differences and changes in the efficiency of input use. Programming techniques measure scale and technical efficiency. The simple radial measure, as well as two other measures that account for programming slacks, are used. The results show little wastage of materials and labour, but inefficient use of energy and capital, which suggests that the development of input markets was uneven. The price liberalisation of 1989 widened efficiency differences, especially in agriculture, but this sector recovered quickest, actually using capital more efficiently by 1991. However, energy efficiency levels were low in the period of soft budget constraints and fell still further after the reforms, suggesting that a free market for energy was not established, particularly in agriculture.     

Innovation efficiency and firm performance in a benchmarking context

This paper examines the effect of innovation efficiency on firm performance using the Greek version of the Community Innovation Survey (CIS) 2012–2014 and employs a dataset of 1,274 innovative manufacturing firms. Introducing a data envelopment analysis (DEA)-type benchmarking strategy with non-continuous knowledge inputs, the main findings suggest that innovation efficiency, although does not exert a direct impact on firm performance, moderates the relationship between the internally generated knowledge and firm performance. On the other hand, such a moderation relationship is not confirmed for the relationship between external knowledge and innovation spillovers on firm's performance. Although the impact of the embodied to innovation inputs spillovers, on firm performance, is always positive and significant, empirical results indicate that absorptive capacity exhibits diminishing returns with respect to performance.