TY - JOUR PY - 1989// TI - Monitoring workplace safety: Nonlinear optimization in a statistical model JO - Mathematical and computer modelling A1 - Chapman, G.R. A1 - Knop, L.E. SP - 695 EP - 705 VL - 12 IS - 6 N2 - Given a cluster of enclosed work areas, the problem is to maintain frequent monitoring of the atmosphere in each area for hazardous levels of contaminants. A central mass spectrometer is capable of doing this monitoring, provided it can be used efficiently. Mathematically, a mass spectrometer may be modeled by a general linear statistical model where the unknowns are the concentrations of the possible contaminants and the observations are the gate readings of the number of ions with a chosen mass/charge ratio. The accuracy of the observations depends on time, and the necessity for frequent monitoring imposes a time constraint. The mathematical problem can be formulated as a problem in the theory of optimal experimental designs. This paper will present a theoretical solution to the problem, an algorithm to implement that solution and some empirical results obtained from the implementation.

LA - SN - 0895-7177 UR - http://dx.doi.org/10.1016/0895-7177(89)90355-5 ID - ref1 ER -