Geometric Programming for Optimal Positive Linear Systems

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Geometric Programming for Communication Systems Geometric Programming for Communication Systems

Geometric Programming (GP) is a class of nonlinear optimization withmany useful theoretical and computational properties. Over the last fewyears, GP has been used to solve a variety of problems in the analysisand design of communication systems in several ‘layers’ in the commu-nication network architecture, including information theory problems,signal processing algorithms, ...

Optimal production and marketing planning with geometric programming approach

One of the primary assumptions in most optimal pricing methods is that the production cost is a non-increasing function of lot-size. This assumption does not hold for many real-world applications since the cost of unit production may have non-increasing trend up to a certain level and then it starts to increase for many reasons such as an increase in wages, depreciation, etc. Moreover, the prod...

A Multi Objective Geometric Programming Model for Optimal Production and Marketing Planning

This paper presents a multi objective geometric programming model which determines the product`s selling price in two markets. We assume demand is a function of price and marketing expenditure in two markets. The cost of production is also assumed to be a function of demands in both markets. Our model is a posynomial function which is solved using Geometric Programming (GP). In our GP implement...

Geometric Programming for Communication Systems