74 citations · 190 across the 73 of their papers we have counts for
13 papers · 1 filter
Stochastic Reservoir Calculations
Steven Finch
Prabhu (1958) obtained the stationary distribution of storage level in a reservoir of finite volume , given an inflow and an outflow . Time is assumed…
M/G/1-FIFO Queue with Uniform Service Times
Steven Finch
An exact formula for the equilibrium M/U/1 waiting time density is now effectively known. What began as a numeric exploration became a symbolic banquet. Inverse Laplace transforms…
Traffic lights, clumping and QBDs
Steven Finch, Guy Latouche, Guy Louchard +1
In discrete time, -blocks of red lights are separated by -blocks of green lights. Cars arrive at random. \ We seek the distribution of maximum line length of idle cars,…
Traffic Light Queues and the Poisson Clumping Heuristic
Steven Finch, Guy Louchard
In discrete time, -blocks of red lights are separated by -blocks of green lights. Cars arrive at random. We seek the distribution of maximum line length of idle cars, a…
Covering a Sphere with Four Random Circular Caps
Steven R. Finch
Let p(w) denote the probability that four random circular caps of angular radius 70deg<w<90deg cover the unit sphere S^2. An exact expression for p(w) is unknown. We give nontrivia…
Lognormality and Triangles of Unit Area
Steven R. Finch
To generate a triangle of unit perimeter, break a stick of length 1 in two places at random, with the condition that triangle inequalities are satisfied. Is there a similarly natur…