modelling seasonality in residential water demand the case of tunisia this article proposes to model seasonal patterns of residential water demand using the techniques of seasonal integration and cointegration the methodology is applied to quarterly aggregate time series data for tunisia 1980 2007 applying the same increasing multi step pricing scheme in the whole country first a seasonal cointegration analysis demonstrates the relevance of a pricing policy that increases the size of the lower consumption block in summer second the nonseasonal cointegration analysis reveals a relatively high price elasticity for the highest consumption block therefore we also propose to increase the tariff progressivity to promote water savings this modified pricing scheme will help to achieve goals of environmental protection and social equity

co integration analysis of quarterly european tourism demand in tunisia abstract the purpose of this study is to identify the factors that affect the destination choice process in addition to prices and income factors the supply factor is introduced as an explanatory variable in the econometric model co integration analysis and error correction models ecms are used to estimate the long run tourism demand elasticities and to forecast the quarterly european tourism demand for a 1 year ahead horizon the main finding of this study is that the behaviour of european tourists varies from one country to another the co integrating relationships show that the large elasticity magnitude may be the reflection of the relatively expensive services often sought after by tourists from these countries the estimated values of the supply elasticity corroborate the supply induced demand hypothesis finally compared to the basic structural model and using the root mean squared error the ecm provides more precise forecasts

optimal pricing and lot sizing under conditions of perishability finite production and partial backordering and lost sale abstract perishable products constitute a sizable component of inventories common questions in a production and selling situation involving a perishable or a non perishable product are what should be the price and what should be the size of the replenishment when demand for the product is price sensitive pricing and lot sizing decisions are interdependent similarly when a product is highly perishable the demand may need to be backlogged to avoid costs due to deterioration i e perishability and backlogging are complementary conditions in this paper we consider the pricing and lot sizing problem for a perishable good under finite production exponential decay and partial backordering and lost sale the backlogging phenomenon in the literature is often modeled using backordering and lost sale costs these cost parameters however are not easy to estimate in practice in this paper we use a new approach to model backlogging of demand in this approach customers are viewed to be impatient the backlogging option gets used only when it is economic to do so we extend the analysis presented for a perishable product to the case in which the product is non perishable

analysis of an inventory system with exponential partial backordering abstract in this paper we study an inventory model with partial backlogging where unsatisfied demand is partially backlogged according to an exponential function in this model the total cost is the sum of the order cost the holding cost the backorder cost which includes a fixed cost and a cost proportional to the length of time for which the backorder exists and the cost of lost sales a general approach for finding the optimal policy is developed numerical examples are used to illustrate how the approach works

individual and aggregate labor supply with coordinated working times i analyze two extensions to the standard model of life cycle labor supply that feature operative choices along both the intensive and extensive margin one assumes that individuals face continuous wage hours schedules while the other assumes that all work must be coordinated across individuals though similar qualitatively the two models have very different implications for aggregate labor supply responses to tax policy in the first model curvature in the individual utility from leisure function plays relatively little role but in the second model it is of first order importance the second model also has important implications for what data are best able to provide evidence on the extent of curvature in the utility from leisure function

water and energy price impacts on residential water demand in copenhagen while water price effects on residential water demand have been studied for several decades the impact of energy prices does not seem to have received much attention in this paper a residential water demand function derived from a model of household production of final consumption goods taking water energy and an aggregate of other goods as inputs is estimated on pooled time series data we find negative energy cross price elasticities around 0 2 and water price elasticities in the order of 0 1 or smaller

estimating residential water demand under multi part tariffs using aggregate data using a new model formulation and data from a sample of colorado utilities we investigated the price specification controversy marginal price versus average revenue when estimating residential water demand the improved statistical fit using average

production complementarities and flexibility in a model of entrepreneurship abstract the focus of this paper is the flexibility in working hours as a motive for entrepreneurship the model exhibits inflexibilities for workers and entrepreneurs which arise due to complementarities in production in addition it allows for volatile value of leisure to make flexibility in hours desirable differences in occupation specific flexibility disciplined with the observed patterns in hours level persistence dispersion and income persistence dispersion can explain relatively low income levels of entrepreneurs in the us and the occupation specific distributions of working hours and income policy relevance of the model features is discussed using experiments of workweek restrictions and income taxation

a method to select between periodic cointegration and seasonal cointegration the seasonal and the periodic cointegration models are non nested models that can explain complex patterns in univariate seasonal time series this paper proposes a simple model selection method which is based on an application of the usual test procedures for cointegration to the annual series per season

privately operated water utilities municipal price negotiation and estimation of residential water demand the case of france this paper addresses the issue of price negotiation between a municipality and a private water utility operator and its implications for residential water demand estimation we use appropriate econometric procedures to estimate a water demand equation on a panel of french municipalities we find evidence that negotiated water price depends on municipality s characteristics causing endogeneity of price in the demand equation the impact of average household income housing and system features such as metering is investigated both on municipal consumption and price estimated price and income elasticities are significant and close to previous household level studies

an economic order quantity model with partial backordering and all units discount abstract the classic economic order quantity model assumes that the unit purchasing cost is not based on the order quantity in practice a supplier may offer purchasers an all units discount we develop a model and solution procedure for the eoq with all unit discounts and partial backordering at a constant rate we show and illustrate with a numerical example how that model can be used to find the solution for the eoq with discount and full backordering a multi factor experiment is used to gain insights into the improvement in performance of the proposed procedure relative to using the basic eoq or the eoq with full backordering and to identify the model parameters that have the greatest impact on the model s performance

demand side management policies for residential water use who bears the conservation burden to assess the potential for urban demand side management dsm policies as a water resource management tool we analyze the extent to which price and alternative policy instruments such as use and quantity restrictions and subsidies for water efficient technologies reduce residential demand and their distributional implications by type of household using detailed household level panel data for two california communities the results suggest that the ultimate effects of dsm policies in terms of the reduction in aggregate demand and distribution of water savings among household classes depend both on the policy instrument selected and the composition of aggregate demand

do droughts have long term effects on water consumption evidence from the urban area of barcelona this article examines the long term effects of droughts on water consumption using data of municipalities of the urban area of barcelona two important characteristics of the sample of municipalities are the relatively low water consumption in the pre drought period and the fact that indoor uses are clearly predominant controlling for prices income and various socio demographic factors we find a reduction in water consumption not only during the drought episode but also in subsequent periods these permanent reductions in water use may be explained by household behavioural changes technological changes or structural water policy changes

microeconometric analysis of residential water demand this paper develops a structural model for obtaining price elasticities and evaluating consumer s response to changes in nonlinear tariffs when only panel data on household consumption are available the model and the empirical strategy address problems implied by nonlinear tariffs existence of a fixed cost and use of limited data giving rise to a random effects model with a nonlinear individual effect results show that the estimated model does well at fitting data and demand is inelastic although elasticity varies by initial consumption block then i estimate welfare consequences of implementing several demand policies

optimal lot size for a production inventory system with partial backlogging and mixture of dispatching policies abstract in this paper we study a production inventory model for a single product where shortages are partially backlogged both the backorder cost and the lost sale cost depend on a fixed cost and a cost proportional to the shortage time we assume a mixture between the dispatching policies known as lifo last in first out and fifo first in first out in the discipline of service to fill the backlogged demand by using a sequential optimization procedure we determine in a closed form the optimal production policies and the optimal profit for all the possible cases obtained from the developed model we show how this new model generalizes several inventory models proposed in the literature finally numerical results are presented to analyze the sensitivity of the optimal policies with respect to changes in some parameters of the system

deteriorating inventory model with quantity discount pricing and partial backordering inventory models with quantity discount pricing and partial backordering although common in practice have received very little attention from researchers the objective of this study is to develop a deterministic inventory model with quantity discount pricing and partial backordering when the product in stock deteriorates with time most retailers make pricing decisions of their products at certain times of the year and these decisions affect demand in this study the demand rate is assumed to decrease as price for the product increases unlike traditional inventory models that seek to minimize cost the objective of this study is to maximize profit the findings of this study are particularly relevant to retailers of deteriorating products in a competitive environment a numerical example is given to illustrate the theory

financial frictions occupational choice and economic inequality we develop a quantitative theory of entrepreneurship income inequality and nancial frictions disciplined with household data from brazil the theory extends lucas 1978 by modeling heterogeneity in two skills working and managerial skills consistently with the evidence the theory implies three occupational categories workers employers and self employed entrepreneurs we nd that the correlation between working and managerial skills matters importantly for the distribution of earnings across occupations and for the quantitative implications of nancial frictions we also nd

estimating residential water demand in the presence of free allowances the main aim of this paper is to quantify the impact of a rate structure which includes a free allowance on residential water consumption the analysis here differs from most previous research in that it explicitly recognizes that water consumption above the free allowance being sensitive to price responds less to social and climatic factors than consumption below the free allowance while the model specification and estimation procedures used here should be of interest to those interested in the demand for water the results using data for adelaide south australia on the determinants of water consumption should be of interest to water authorities

towards a micro founded theory of aggregate labour supply we build a heterogeneous agents life cycle model that captures a large number of salient features of individual male labour supply over the life cycle by education both along the intensive and extensive margins the model provides an aggregation theory of individual labour supply firmly grounded on individual level micro evidence and is used to study the aggregate labour supply responses to changes in the economic environment we find that the aggregate labour supply elasticity to a transitory wage shock is 1 75 with the extensive margin accounting for 62 of the response furthermore we find that the aggregate labour supply elasticity to a permanent compensated wage change is 0 44

a discrete continuous choice approach to residential water demand under block rate pricing reply waldman is quite correct in noting that the microeconomic theory of block rate pricing in hewitt and hanemann hh 1995 is given for the general case of a k block rate structure whereas the econometric theory is largely confined to the case of exactly two blocks the extension in waldman to the more general case of k blocks is correct although the extension itself could be even more general if it addressed the nonnegativity of demand as is demonstrated below that no apparent attention was paid to the nonnegativity of demand in hh may be attributed to the fact that the need to do so was negated by a fortuitous assumption in the earlier work although that assumption that the errors are multiplicative and lognormally distributed was only maintained and not tested in hh i now estimate two models with the more common assumptions of linear demand and additive and normally distributed errors both with and without a modification for

hourly earnings in the united states another look at unionization schooling sickness and unemployment using psid data this paper makes use of panel data to consider the effects of unionization schooling sickness and unemployment on individual earnings our results may be summarized as follows the unionization effect is around 15 20 this measure is consistently estimated controlling for both fixed individual attributes and serially uncorrelated measurement error sickness has little immediate impact but there is some indication that after 4 years earnings have fallen permanently by around 8 consequent on a 10 week spell of sickness a spell of unemployment on the other hand leads to a sharp fall in earnings but this effect decays rapidly leaving the possibility of a small permanent impact finally controlling for all fixed individual attributes we are unable to pin down the schooling effect with any accuracy owing to the absence of instruments that are both valid and effective within the data set

estimation of residential water demand with imperfect price perception using data from a household survey carried out in the french overseas territory of reunion we investigate the price of drinking water perceived by households faced with an increasing multi step pricing scheme to this purpose we use an improved version of the method introduced by shin 1985 to estimate the demand for residential water when consumers are imperfectly informed about their pricing schedule the empirical results suggest that reunion households underestimate the price of water and thus consume more than what is economically rational providing information to households about the marginal price of water may be an innovative means of inducing them to respond to pricing policies designed to promote water conservation

the deterministic eoq with partial backordering a new approach previous authors have shown that if demand that cannot be filled from stock is partially backordered then using the full backordering model or assuming that all stockouts will result in lost sales can lead to substantial increases in cost relative to using a model that specifically recognizes the percentage of the stockouts that will be backordered the models that these authors developed resulted in procedures or equations that are relatively difficult to use in this paper we take a different approach to modeling the deterministic eoq with partial backordering that results in equations that are more like the comparable equations for the basic eoq and its full backordering extension

specification of block rate price variables in demand models using a new model formulation and data from a sample of colorado utilities we investigated the price specification controversy marginal price versus average revenue when estimating residential water demand the improved statistical fit using average

price knowledge in household demand for utility services a household s decision to acquire price knowledge is endogenous in the demand for utility services and may affect elasticities and consumption levels a simultaneous equation model with endogenous switching is developed to evaluate the effects of price knowledge and other sources of heterogeneity results indicate informed households were more responsive to average and marginal price signals informed households also use less water but this is due to heterogeneity rather than price knowledge controlling for heterogeneity price knowledge actually increases monthly water usage the implications of accounting for differences in price knowledge in utility demand modeling and demand management policy are discussed

urban residential demand for water in the united states further discussion using a new model formulation and data from a sample of colorado utilities we investigated the price specification controversy marginal price versus average revenue when estimating residential water demand the improved statistical fit using average

an inventory model with deteriorating items quantity discount pricing and time dependent partial backlogging abstract wee international journal of production economics 59 1999 511 in his interesting paper presented a deterministic inventory model with the following characteristics quantity discount schemes for the unit cost partial backlogging at a fixed rate deterioration of stock in time and demand rate being a linear function of the selling price in this article we generalize the work of wee 1999 more specifically we consider a model where the demand rate is a convex decreasing function of the selling price and the backlogging rate is a time dependent function which ensures that the rate of backlogged demand increases as the waiting time to the following replenishment point decreases

a century of evolution from harris s basic lot size model survey and research agenda abstract determining the economic lot size has always represented one of the most important issues in production planning this problem has long attracted the attention of researchers and several models have been developed to meet requirements at minimum cost in this paper we explore and discuss the evolution of these models during one hundred years of history starting from the basic model developed by harris in 1913 up to today following harris s work a number of researchers have devised extensions that incorporate additional considerations the evolution of eoq theory strongly reflects the development of industrial systems over the past century here we outline all the research areas faced in the past by conducting a holistic analysis of 219 selected journal papers and trying to give a comprehensive view of past work on the eoq problem finally a new research agenda is proposed and discussed

efficiency and equity in two part tariffs the case of residential water rates as first noticed by coase 1946 a standard result in utility regulation is that efficiency requires two part tariffs with marginal prices set to marginal costs and fixed fees equal to each customer s share of fixed costs residential water customers in france face marginal prices for water that average about 8 more than marginal costs under price elasticity estimates that are consistent with previous results in the literature efficiency costs represent around 8 million euros of welfare losses for 2008 even though the impact is fairly small current price schedules are an important pre existing distortion which should be considered when evaluating current taxes aimed at addressing external costs moreover efficiency gains from reformed tariffs could be used to fund water assistance programs focused on financially stressed households

cointegration analysis of seasonal time series this paper reviews various recent approaches to cointegration analysis of seasonal time series in addition to the usual decisions concerning data transformations and univariate time series properties it is necessary to decide how seasonal variation is included in the multivariate model and how standard cointegration methods should accordingly be modified seasonal cointegration and periodic cointegration methods are discussed as are some of their recent refinements an overview of further research topics is also provided

the effect of part time work on wages evidence from the social security rules this article identifies the part time wage effect using hours variation caused by the social security rules we show that work hours and wages drop sharply at ages 62 and 65 we argue that the hours decline causes the wage decline resulting in a 25 wage penalty for men who cut their work week from 40 to 20 hours however we find little evidence for such an effect among women we also show that models that fail to account for the joint determination of hours and wages will understate the labor supply response to a tax change by about 26

constraints on the desired hours of work of british men this paper investigates constraints on desired hours of work using information on hours preferences from the british household panel survey for 1991 over a third of male manual workers would prefer to work fewer hours at the prevailing wage than they do and we estimate that on average desired hours per week are 4 3 lower than actual hours we hypothesise that job insecurity and scarcity of alternative job opportunities enable employers to set hours constraints above employee preferences and find that the minimum hours constraints set by firms are an increasing function of the unemployment rate an individual faces

comparing residential water demand estimates under decreasing and increasing block rates using household data using a new model formulation and data from a sample of colorado utilities we investigated the price specification controversy marginal price versus average revenue when estimating residential water demand the improved statistical fit using average

a comparison between two pricing and lot sizing models with partial backlogging and deteriorated items abstract recently abad 2003 optimal pricing and lot sizing under conditions of perishability finite production and partial backordering and lost sale european journal of operational research 144 677 685 studied the pricing and lot sizing problem for a perishable good under finite production exponential decay partial backordering and lost sale in this article we extend his model by adding not only the backlogging cost but also the cost of lost goodwill we then analytically compare the net profits per unit time between abad s 2003 model and goyal and giri s 2003 the production inventory problem of a product with time varying demand production and deterioration rates european journal of operational research 147 549 557 model in abad s model the cycle starts with an instant production to accumulate stocks then stops production to use up stocks and finally restarts production to meet the unsatisfied demands by contrast in goyal and giri s model the cycle begins with a period of shortages then starts production until accumulated inventory reaches certain level and finally stops production and uses up inventory our theoretical results show that there is no dominant one between these two models furthermore we provide certain conditions under which one model has more net profit per unit time than the other finally we give several numerical examples to illustrate the results

possible adverse effects of increasing block water tariffs in developing countries ture in which a commodity is priced at a low initial rate up to a specified volume of use block then at a higher or several increasingly higher rates for additional blocks used the ordinary household municipal water bill in developing countries is often calculated on some sort of ibt structure and donor organizations and consultants continue to recommend this practice for town and city water systems the majority of world bank sponsored water tariff studies conducted since 1970 for example have recommended the use of increasing block water tariffs there are two commonly accepted justifications for using ibts the first based on a rationale of equity is that ibts should assist low income households and ensure an equitable allocation of the costs of water production and distribution the argument in this case is that low income households use less water than high income households because they have fewer water using appliances and are less likely to have large lawns and gardens an ibt results in higher marginal prices to the customer and thus higher average prices for higher income households the price of water in the initial block may be set very low usually at a subsidized rate to ensure that the poor are not discouraged from using the amount of water considered essential for human needs typically estimated at 25 50 liters per capita per day the price of water in the initial block is thus sometimes termed the lifeline rate the second justification for ibt structures is that the higher prices charged beyond the initial block discourage extravagant water use and promote water conservation both these justifications for ibts assume that each household has

an integrated production inventory model with imperfect production processes and weibull distribution deterioration under inflation abstract this study develops an integrated production and inventory model from the perspectives of both the manufacturer and the retailer the model assumes a varying rate of deterioration partial backordering inflation imperfect production processes and multiple deliveries the elapsed time until the production process shift is assumed to be arbitrarily distributed the discounted cash flow and classical optimization technique are used to derive the optimal solution a numerical example including the sensitivity analysis is given to validate the results of the production inventory model the integrated decision results in lower optimal joint cost compared with an independent decision by the manufacturer and the retailer

joint pricing and replenishment policy for deteriorating inventory with declining market abstract this study deals with a deteriorating inventory model where demand decreases linearly with time and cost of items planning horizon is assumed to be finite the replenishment cycles are constant and shortages are partially back ordered the net profit maximizing ordering policy and price are determined for different degree of partial back ordering the reduction in revenue resulted from lost sale is expressed in the lost sale shortage penalty in the total cost formulation a solution method based on nonlinear programming code and the hessian matrix guarantees global optimality of the solution a numerical example is provided to illustrate the theory

estimating water demand under increasing block tariffs using aggregate data and proportions of users per block forming a strategy for the management of a water resource requires reasonable knowledge of the effects that alterations in the control variables bring on water use such knowledge of the determinants influencing domestic water demand constitutes an essential ingredient of a pricing policy for domestic water supply special attention should be paid to the effects of the level shape and frequency of the tariff since these are the variables that can be altered by the policy maker

perception of price when price information is costly evidence from residential electricity demand a bstract residential electricity consumption is an example of a good for which it is costly to determine marginal price since price changes with the quantity purchased according to multistep block rate schedules this paper investigates the effect of the price information problem on consumers price perceptions an alternative hypothesis of average price perception is tested against the marginal price postulate which assumes wellinformed consumers the model which includes a price perception variable allows the estimation of the price to which consumers actually respond the empirical results support the hypothesis that consumers respond to average price perceived from the electricity bill

periodic cointegration representation and inference textabstractthis paper considers a new approach to the analysis of stable relationships between nonstationary seasonal time series the basis of this approach is an error correction model in which both long run effects and adjustment parameters are allowed to vary per season first we discuss theoretical arguments for such a periodic error correction model we define periodic cointegration and compare this to the concept of seasonal cointegration next we analyze statistical inference in the periodic error correction model a sequential procedure is proposed consisting of a test for periodic cointegration an estimator of the cointegration parameters and adjustment coefficients and a class of tests for the hypothesis that some of the parameters are constant over the seasons the finite sample behavior of the proposed test statistics is analyzed in a limited monte carlo exercise we conclude the paper with an application to a model of aggregate swedish consumption

an inventory model for perishable items in a lot size system with quantity discounts abstract an inventory model continuous in units and time is developed for perishable items in a lot size system that allows partially backlogging and partially lost saling the model is developed under deterministic demand instantaneous delivery with quantity discounts and any well behaved probability distribution for the time to perishables an example is given to illustrate the model

optimal policy for an inventory system with backlogging and all units discounts application to the composite lot size model this paper examines an inventory model with full backlogging and all units quantity discounts the practical scenario of a salesperson offering compensation to a client so as not to lose the sale is considered the cost of a backorder thus includes both a fixed cost and a further cost which is proportional to the length of time the said backorder exists a first algorithm is developed to determine the optimal policy while some extensions to this algorithm are obtained that include additional conditions on the model in particular the well known composite lot size model developed by tersine is solved incorporating a new stockout cost and a new all units discount numerical examples are provided to illustrate the application of the algorithms

effect of price information on residential water demand microeconomic theory predicts that people decrease consumption when price increases the magnitude of the effect depending on price elasticity the law of demand however implicitly assumes that consumers know prices an assumption that is not always satisfied in markets with ex post billing when prices are not transparent elasticity estimates are potentially lower than their full information potential evidence of low price elasticity abounds in residential water demand studies limiting the effectiveness and desirability of using price signals as a conservation tool it is hypothesized that resident s sluggish response to price is partly due to the absence of price information on water bills differences in the informational content of bills are documented for the first time on the basis of sample bills collected from 383 utilities across the usa a standard aggregate water demand model is augmented with qualitative variables describing differences in billing information allowing such variables to a

household responses to increased water rates during the california drought this paper explores the use of fixed effects and maximum likelihood techniques to es timate household responses to water price in creases during the california drought estimates are based on bimonthly meter readings from 599 single family households in the alameda county water district over the period 1982 1992 before and after the introduction of a steeply increasing block rate price structure i find that household and monthly fixed effects models are not success ful in modeling water demand with these data however maximum likelihood models that ex plicitly consider the household s response to the rate structure result in plausible estimates of wa ter demand jel q25

residential water demand responds asymmetrically to rising and falling prices this paper econometrically estimates residential water consumption in germany between 2007 and 2013 based on a panel of almost 3000 supply areas in particular the analysis distinguishes periods o

labor supply preferences hours constraints and hours wage tradeoffs in a labor market with tied hours wage packages and wage dispersion for a particular type of job constrained workers may be willing to sacrifice wage gains for better hours when changing jobs likewise workers may accept jobs offering undesirable hours only if the associated wage gains are large we investigate this issue empirically by examining whether overemployment and underemployment on the initial and new job affects the relation between hours changes and wage changes for quitters our results generally support the view that an individual requires compensation to work in a job that given the individual s particular preferences offers unattractive hours

evidence on the specification of price in the study of domestic water demand the development of lakefront property in northern wisconsin has prompted in several towns minimum frontage zoning stricter than the state standard such zoning generates an economic loss by constraining development development effect and an economic

analysing rationing policies drought and its effects on urban users welfare analysing rationing policies during drought the aim of this paper is to study the impact on consumers of rationing policies implemented during water shortages water scarcity gives rise to the need for rationing and various methods including supply cutoffs can be used a model is devised to quantify the welfare losses associated with qualitive and quantitive restrictions based on virtual prices and using the consumer surplus as a welfare measurement welfare variations for different users have been calculated to achieve the aim information relative to seville spain has been used analysing the drought period that took place in the first half of the 1990s it has been possible to observe the main source that led to welfare losses for each kind of user

do residential water demand side management policies measure up an analysis of eight california water agencies abstract to assess the potential of price and alternative demand side management dsm policies as an urban water resource management tool an econometric model of residential demand is formulated and estimated this econometric model incorporates alternative dsm policy instruments such as water allocations use restrictions public education and increasing block pricing schedules the analysis relies on cross sectional monthly time series data for eight water agencies in california representing 24 of the state s population 7 1 million people results suggest that both price and alternative dsm policies were effective in reducing demand however the magnitude of the reduction in demand varied among policy instruments

urban water demand with periodic error correction monthly demand for publicly supplied water to u s residences and businesses is estimated from a 10 year panel of 167 cities a periodic error correction model integrates monthly annual and long run time scales statistical consistency is validated by unit root tests adapted to the monthly frequency water and wastewater price elasticity of demand is estimated by sector calendar month and time horizon

a survey of deterministic models for the eoq and epq with partial backordering models for the basic deterministic eoq or epq problem with partial backordering or backlogging make all the assumptions of the classic eoq or epq model with full backordering except that only a fraction of the demand during the stockout period is backordered in this survey we review deterministic models that have been developed over the past 40 years that address the basic models and extensions that add other considerations such as pricing perishable or deteriorating inventory time varying or stock dependent demand quantity discounts or multiple warehouses

residential water demand in the northwest of spain a panel of monthly aggregate data from the northwest of spain is used to estimate domestic water demand functions under linear and non linear tariffs price billing climatic and sociodemographic variables are used as explanatory variables the use of intraannual data constitutes a relevant contribution in the european context overall marginal price elasticity estimates lie between 0 12 and 0 17 summer only elasticities and elasticities associated with uses beyond the effectively free allowances seem significantly higher climatic variables significantly affect monthly use although probably less than in other wealthier and drier areas domestic water use appears to be a normal good

hours restrictions and labor supply the authors estimate a labor supply model that permits hours restrictions of a simple but general form each individual chooses from among a finite set of jobs drawn at random f rom a market distribution each offering a fixed quantity of hours the polar cases of no constraints on hours worked and exogenous hours ar e nested within the general case the authors results are consistent with a substantial amount of rationing in the work hours of a sample of low income men most of whom are working less than they would like copyright 1993 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association