On the optimal path of an economy with capital and non-renewable resource inputs, and constant returns output of consumption and investment, the rate of exogenous technical progress in net national product equals the rate of progress in (gross) production, divided by one minus the production elasticity of the resource flow.

This paper considers an optimal investment problem under CRRA utility with a borrowing constraint. We formulate it into free boundary consisting of fully nonlinear equation and linear equation. prove the existence uniqueness classical solution present condition for constraint on rate. Furthermore, we that is continuous smooth when relative risk aversion coefficient sufficiently small.

In this paper, we present a genetic algorithm (GA) for optimization of a multi-mode resource constrained time cost trade off (MRCTCT) problem. The proposed GA, each activity has several operational modes and each mode identifies a possible executive time and cost of the activity. Beyond earlier studies on time-cost trade-off problem, in MRCTCT problem, resource requirements of each execution mo...

This survey considers emerging approaches of heuristic search for solutions to combinatorially complex problems. Such problems arise in business applications, of traditional interest to operations research, such as in manufacturing operations, financial investment, capital budgeting and resource management. Artificial intelligence is a revived approach to problem-solving that requires heuristic...

We present a generalization of the average shadow price in 0-1-Mixed Integer Linear Programming problems and its relation with bottlenecks including the analysis relative to the coefficients matrix of resource constraints. A mathematical programming approach to find the strategy for investment in resources is presented. KeywordsMixed Integer programming, Average shadow price, Bottlenecks, Resou...

extensive research has been devoted to resource constrained project scheduling problem. however, little attention has been paid to problems where a certain time penalty must be incurred if activity preemption is allowed. in this paper, we consider the project scheduling problem of minimizing the total cost subject to resource constraints, earliness-tardiness penalties and preemption penalties, ...

The aim of this paper is to examine the concentration of wealth among the group of top wealth holders, defined as those with wealth in excess of a high cut off. The paper begins by considering the definition of this cut off, analogous to the definition of a poverty line at the other end of the distribution. It then considers what can be learned about the proportion classified as ‘rich’ and abou...