For a queuing system with Poisson input, a single waiting line without defections, and identically distributed independent (negative) exponential service times, the equilibrium distribution of the number of service completions in an arbitrary time interval is shown to be the same as the input distribution, for any number of servers. This result has applications in problems of tandem queuing. The essence of the proof is the demonstration of the independence of an interdeparture interval and the state of the system at the end of the interval.

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte.

This paper presents evidence on a national-level electricity ladder which sees countries transition toward coal and natural gas, and finally nuclear power and modern renewables such as wind power, for their electricity needs as they develop. The extent to which countries climb the electricity ladder is dependent on energy endowments. The results imply that the environmental implications of economic development differ in countries with different energy resource endowments. An effective global carbon mitigation strategy will require developing countries to leapfrog the middle rungs of the electricity ladder.

This paper uses per capita data for 132 countries over 1960-2010 to estimate elasticities of sectoral energy use with respect to national gross domestic product (GDP). We estimate models in both levels and growth rates and use our estimates to sectorally decompose the aggregate energy-GDP elasticity. Our estimates show that residential energy use is very inelastic to GDP if primary solid biofuels are counted in energy use tallies, especially at low income levels. Residential use of electricity is more tightly linked to GDP, as is energy use by the transportation, industrial, and services sectors. Agriculture typically accounts for a small share of energy use and has a modest energy-GDP elasticity. The aggregate energy-GDP elasticity tends to be higher for countries at higher income levels, in large part because traditional use of primary solid biofuels is less important. Gasoline prices, winter temperature, population, and land area are among other factors influencing sectoral energy use.

No abstract

This Working Paper series provides a vehicle for preliminary circulation of research results in the fields of economic development and international trade. The series is intended to stimulate discussion and critical comment. Staff and visitors in any part of the Australian National University are encouraged to contribute. To facilitate prompt distribution, papers are screened, but not formally refereed.

To date there has been an absence of crosscountry empirical studies on the efficacy of carbon pricing. In this paper we present estimates of the contribution of carbon pricing to reducing national carbon dioxide (CO2) emissions from fuel combustion, using several econometric modelling approaches that control for other key policies and for structural factors that are relevant for emissions. We use data for 142 countries over a period of two decades, 43 of which had a carbon price in place at the national level or below by the end of the study period. We find evidence that the average annual growth rate of CO2 emissions from fuel combustion has been around two percentage points lower in countries that have had a carbon price compared to countries without. An additional euro per tonne of CO2 in carbon price is associated with a reduction in the subsequent annual emissions growth rate of approximately 0.3 percentage points, all else equal. While it is impossible to fully control for all relevant influences on emissions growth, our estimates suggest that the emissions trajectories of countries with and without carbon prices tend to diverge over time.

Solar and wind electricity generation technologies have become cost competitive and account for a growing share of global investment in new electricity generation capacity. Both India and Indonesia have ambitious targets for adoption of these technologies, and India has an impressive current rate of uptake. Substantial obstacles exist, however, including the entrenched positions of coal and other fossil fuels, regulatory barriers to market access, and weak abilities of electricity utilities to manage intermittent renewables. This paper reviews these obstacles and discusses strategies to overcome them. We focus on the use of reverse auction processes able to deliver low-price solar and wind contracts, as are being successfully employed in India, on tax and subsidy reform options, on regulatory and incentive-design strategies, on approaches to bolster grid management capacities, and on the importance of minimising protectionist barriers. Our analysis covers both small-scale and large-scale systems.