The UMTS radio network planning problem poses the challenge of designing a cost-effective network that provides users with sufficient coverage and capacity. We describe an optimization model for this problem that is based on comprehensive planning data of the EU project Momentum. We present heuristic mathematical methods for this realistic model, including computational results.

This paper introduces decision-theoretic planning techniques into automatic music generation. Markov decision processes (MDPs) are a mathematical model of planning under uncertainty, and factored MDPs demonstrate great advantages in an environment where the state space is large. Given a melody, we use a factored MDP planner to fill in the other three voices, based on the characteristics of clas...

A system Is presented that combines the automated planning and. optimization functions in machining processes. The planning function is performed by a systematic analysis of the stated requirements of the finished part in the light of information on available machining facilities and raw materials. The optimization phase utilizes a mathematical programming model to take into account various cos...

BACKGROUND Mathematical models offer the possibility to investigate the infectious disease dynamics over time and may help in informing design of studies. A systematic review was performed in order to determine to what extent mathematical models have been incorporated into the process of planning studies and hence inform study design for infectious diseases transmitted between humans and/or ani...

In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In this first one we present the mathematical foundation of our framework. The motion of a mobile robot that transports a human should be comfortable and customizable. We identify several properties t...

in this paper, we consider a multi-site production planning problem subject to uncertainty in demand and workforce expenses. in our new mathematical model, we presented a production planning system considering failure in rework and breakdown. we also survey human workforce allocation and its expenses which are considered uncertain due to some tradeoff between company’s benefits and workforce :u...

This paper presents a new mathematical model for integrated dynamic cellular manufacturing systems and production planning that minimizes machine purchasing, intra-cell material handling, cell reconfiguration and setup costs. The presented model forms the manufacturing cells and determines the quantity of machine and movements  during each period of time. This problem is NP-hard, so a meta-heur...

The application of autonomous guided vehicles to well-structured industrial sites requires considerably more than a path planning algorithm onboard each vehicle. Issues such as task planning, vehicle routing and vehicle-vehicle interactions predominate in determining the overall system ability. We exhibit a mathematical model of a multiple vehicle system, which has similarities to the Timed Tra...

This paper presents mathematical conditions and algorithm for a whole arm manipulation planning with switching contact modes. The motion planning for such a system should consider changing the dynamics and kinematics according to contact modes. We show the conditions about kinematic and dynamics aspects to be satisfied for the motion planning. The conditions give the restriction of feasible con...

Procurement planning with discrete time varying demand is an important problem in Enterprise Resource Planning (ERP). It can be described using the non-analytic mathematical programming model proposed in this paper. To solve the model we propose to use a fuzzy decision embedded genetic algorithm. The algorithm adopts an order strategy selection to simplify the original real optimization problem...