Pavement roughness evaluations using a Mays ride meter. Final report.

Mode of access: Internet.

Feasibility study for an improved acoustic probe for road roughness profiling.

Federal Highway Administration, Washington, D.C.

Computer simulation of the effect of road roughness on tire-pavement forces for an articulated vehicle performing braking and cornering maneuvers. Phase report.

Federal Highway Administration, Washington, D.C.

Computer simulation of the effect of road roughness on tire-pavement forces in braking and cornering. Interim report.

Federal Highway Administration, Washington, D.C.

The Walker Roughness Device for roughness measurements. Final report.

Texas State Department of Highways and Public Transportation, Austin

Effective hydraulic roughness for channels having bed roughness different from bank roughness : a state-of-the-art report /

Bibliography: p. 11-12.

Demonstration project no. 72, automated pavement data collection equipment roughness and profile measurement. Equipment summary.

Mode of access: Internet.

Evaluation of a K. J. Law Model 8300 Ultrasonic Roughness Testing Device. Final report.

Federal Highway Administration, Washington, D.C.

Equipment for collecting pavement roughness information. Interim report.

Federal Highway Administration, Washington, D.C.

Arizona Canal Diversion Channel : selection of roughness coefficients for designing the concrete-lined channel /

"September 1985."

Surface roughness of ablated carbon-carbon nosetip composites /

"AFML-TR-78-157."

Measurement of water surface roughness and wind shear stress by the use of a pitot tube in a laboratory wave channel /

Mode of access: Internet.

Roughness coefficients for densely vegetated flood plains /

Shipping list no.: 88-172-P.

Birth-death processes with disaster and instantaneous resurrection

A new structure with the special property that instantaneous resurrection and mass disaster are imposed on an ordinary birth-death process is considered. Under the condition that the underlying birth-death process is exit or bilateral, we are able to give easily checked existence criteria for such Markov processes. A very simple uniqueness criterion is also established. All honest processes are explicitly constructed. Ergodicity properties for these processes are investigated. Surprisingly, it can be proved that all the honest processes are not only recurrent but also ergodic without imposing any extra conditions. Equilibrium distributions are then established. Symmetry and reversibility of such processes are also investigated. Several examples are provided to illustrate our results.

On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure

Let S be a countable set and let Q = (q(ij), i, j is an element of S) be a conservative q-matrix over S with a single instantaneous state b. Suppose that we are given a real number mu >= 0 and a strictly positive probability measure m = (m(j), j is an element of S) such that Sigma(i is an element of S) m(i)q(ij) = -mu m(j), j 0 b. We prove that there exists a Q-process P(t) = (p(ij) (t), i, j E S) for which m is a mu-invariant measure, that is Sigma(i is an element of s) m(i)p(ij)(t) = e(-mu t)m(j), j is an element of S. We illustrate our results with reference to the Kolmogorov 'K 1' chain and a birth-death process with catastrophes and instantaneous resurrection.