We describe favorable experience with automatic differentiation of mathematical programming problems expressed in AMPL, a modeling language for mathematical programming. Nonlinear expressions are translated to loop-free code, which makes analytically correct gradients and Jacobians particularly easy to compute — static storage allocation suffices. The nonlinear expressions may either be interpr...

Hundreds of billions of dollars have been spent in homeland security since September 11, 2001. Many mathematical models have been developed to study strategic interactions between governments (defenders) and terrorists (attackers). However, few studies have considered the tradeoff between equity and efficiency in homeland security resource allocation. In this article, we fill this gap by develo...

We present the optimal consumption and investment strategy for an investor, endowed with labor income, searching to maximize utility from consumption and terminal wealth when he is restricted to fulfill a binding capital constraint of a European (constraint on terminal wealth) or an American (constraint on the wealth process) type. In both cases the optimal strategy is proven to be of the optio...

Much of the project scheduling literature treats task durations as deterministic. In reality, however, task durations are subject to considerable uncertainty and that uncertainty can be influenced by the resources assigned. The purpose of this paper is to provide the means for program managers (who may have responsibility for multiple projects) to optimally allocate resources from common resour...

In this paper the impact of investment specific technical progress on investment allocation is studied by using an extended version of the Feldman’s two sector model that takes into account embodied technical progress. The aim of the paper is to analyze the impact of investment specific technical progress on the optimal allocation of investment, economic growth and structural change.

Economics is the study of optimal use of scarce resources to promote social welfare. Of particular interest has been the role of prices in achieving a socially optimal allocation of resources through co-ordinating the actions of self-seeking individuals in a decentralized economy. Alternative notions of economic equilibrium and their efficiency properties are sketched. Finally, some of the basi...

Efficient dynamic resource provisioning algorithms are necessary to the development and automation of Quality of Service (QoS) networks. The main goal of these algorithms is to offer services that satisfy the QoS requirements of individual users while guaranteeing at the same time an efficient utilization of network resources. In this thesis we introduce a new service model that provides per-fl...

In this paper a multi-agent model for a domestic heating task is introduced and analysed. The model includes two alternative heating agents (for gas-based heating and for heatpump-based heating), and a third allocation agent which determines the most economic allocation of the heating task to these heating agents over the days in a year. For allocation decisions it is analysed how the performan...

Efficient dynamic resource provisioning algorithms are necessary to the development and automation of Quality of Service (QoS) networks. The main goal of these algorithms is to offer services that satisfy the QoS requirements of individual users while guaranteeing at the same time an efficient utilization of network resources. In this paper we introduce a new service model that provides per-flo...

When parties are very unequally endowed, agreement may be very difficult to reach, even if the specific transaction is easy to contract on, and fungible resources can be transferred to compensate the losing party. The very fungibility of the resource transferred makes it hard to restrict its use, changing the amount the parties involved spend in trying to grab future rents. This spill-over effe...