16 建築設備に於ける同時使用問題の解法について

抄録

The estimation of simultaneous use number or simultaneous use rate is one of the most fundamental problems On building equipment design. The purpose of this report is to study the calculating method of simultaneous use quantity under general conditions of the system. In the first section of the report, we give the probability distribution of simultaneous use number. This distribution nearly equal to binomial distribution if all fixtures are occupied in succession. On the other hand, when it is a chance in a thousand to use all fixtures, the distribution is very similar to poisson type. Secondary, the probability on the system with different type and size of fixtures is considered. In this case, the distribution function is defined as a faltung of distribution shown at the first section. When there are many fixtures in the system, we can use the central limit theorem in probability theory, then obtain the next type formula as a approximation. [numerical formula] where U_<max> Maximum quantity used simultaneously. E(U) Mean value of quantity used in the system. V_p(U) Variance of quantity used in the system, supposing that simultaneous use probabilities of every groops in the system have poisson type distribution. k, &lrtri; Constant with probability of excess K. See Table 1.