signed
1955 · [Melville, NY]:
by MORSE, Philip McCord: (1903-1985).
[Melville, NY]:: The Journal of the Acoustical Society of America, 1955., 1955. 3 offprints. Original wrappers. Very good. INVENTORY: 1. MORSE, Philip M. Acoustics and Basic Physics. Offprint from: The Journal of the Acoustical Society of America, Vol. 27, No. 2, pp. 213-216, March, 1955. Worn. 2. MORSE, Philip M. Stochastic Properties of Waiting Lines. Offprint from: The Journal of Operations Research Society of America, Vol. 3, No. 3, pp. 255-261, August, 1955. "The stochastic properties of waiting lines may be analyzed by a two-stage process: first solving the time-dependent equations for the state probabilities and then utilising these transient solutions to obtain the auto-correlation function for queue length and the root-mean-square frequency spectrum of its fluctuations from mean length. The procedure is worked out in detail for the one-channel, exponential service facility with Poisson arrivals, and the basic solutions for the m-channel exponential service case are given. The analysis indicates that the transient behavior of the queue length n(t) may be measured by a "relaxation time," the mean time any deviation of n(t) away from its mean value L takes to return (1/e) of the way back to L. This relaxation time increases as (1 ? ?)?2 as the utilization factor ? approaches unity, whereas the mean length L increases as (1 ? ?)?1. In other words, as saturation of the facility is approached, the mean length of line increases; but, what is often more detrimental, the length of time for the line to return to average, once it diverges from average, increases even more markedly." :: abstract. 3. MORSE, Philip M. Where Is The New Blood? Offprint from: The Journal of the Operations Research Society of America, Vol. 3, No. 4, pp. 383-387, November, 1955. Signed by Pais. / Morse was an American physicist and the originator of operations research in World War II. Served as president of the American Physical Society and the Acoustical Society of America, co-founder of the MIT Acoustics Laboratory, and first director of the Brookhaven National Laboratory. (Inventory #: S13309)