consider the random walk among n places with n(n - 1)/2 transports. we attach an exponential random variable xij to each transport between places pi and pj and take these random variables mutually independent. if transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...

in this paper we introduce an improvement in the path planning algorithm for the humanoid soccer playing robot which uses ferguson splines and pso (particle swarm optimization). the objective of the algorithm is to find a path through other playing robots to the ball, which should be as short as possible and also safe enough. ferguson splines create preliminary paths using random generated para...

project planning is part of project management, which is relates to the use of schedules such as gantt charts to plan and subsequently report progress within the project environment. initially, the project scope is defined and the appropriate methods for completing the project are determined. in this paper a new approach for the critical path analyzing a project network with random fuzzy activi...

In this work we consider extensions of a conjecture due to Alspach, Mason, and Pullman from 1976. This concerns edge decompositions tournaments into as few paths possible. There is natural lower bound for the number needed in an decomposition directed graph terms its degree sequence; question states that correct even order. The was recently resolved large tournaments, here investigate what exte...

The decomposition of the overall effect a treatment into direct and indirect effects is here investigated with reference to recursive system binary random variables. We show how, for single mediator context, marginal measured on log odds scale can be written as sum plus residual term that vanishes under some specific conditions. then extend our definitions situations involving multiple mediator...

We propose a model for path-planning based on single performance metric that accurately accounts the potential (spatially inhomogeneous) cost of breakdowns and repairs. These random happen at known (also spatially rate can be one two types: total, which halt all movement until an in-place repair is completed, or partial, after continues in damaged state. use framework piecewise-deterministic Ma...