Simulation

An Open Simulation Platform for Design and Experimentation on Distributed Robotics Systems

Simulation and the Logistics Systems Laboratory

DESCRIPTORS: *Continued fractions, *E QU ION *P r urb tion t eory Green's function, Differe tial equations. A problem of continuing interest is that of obtaining approximate solutions of the functional equation L(u) + (a(p) + lambda b(p))u = 0, where L is a linear transformation, in terms of the solution of the unperturbed equation L(u) + a(p)u = 0. U ING THE Green's function, or equival techni u s, n reg rdi g the term involving lambda as a forcing term, we can convert the first equation to the form u = f + lambda T(u), where T is a linear transformation. We pr ent a new approach to problems of this nature using the classical technique of continued fractions. (Author).

A Guide to Simulation

Simulation means driving a model of a system with suitable inputs and observing the corresponding outputs. It is widely applied in engineering, in business, and in the physical and social sciences. Simulation method ology araws on computer. science, statistics, and operations research and is now sufficiently developed and coherent to be called a discipline in its own right. A course in simulation is an essential part of any operations re search or computer science program. A large fraction of applied work in these fields involves simulation; the techniques of simulation, as tools, are as fundamental as those of linear programming or compiler construction, for example. Simulation sometimes appears deceptively easy, but perusal of this book will reveal unexpected depths. Many simulation studies are statistically defective and many simulation programs are inefficient. We hope that our book will help to remedy this situation. It is intended to teach how to simulate effectively. A simulation project has three crucial components, each of which must always be tackled: (1) data gathering, model building, and validation; (2) statistical design and estimation; (3) programming and implementation. Generation of random numbers (Chapters 5 and 6) pervades simulation, but unlike the three components above, random number generators need not be constructed from scratch for each project. Usually random number packages are available. That is one reason why the chapters on random numbers, which contain mainly reference material, follow the ch!lPters deal ing with experimental design and output analysis.