A Markovian Sampling Policy Applied to Water Quality Monitoring of Streams

Abstract

This paper considers a sampling procedure for monitoring the outgoing quality of a process. Though the sampling procedure is applicable to other sampling inspection problems, our specific concern here is the application to quality control sampling of dissolved oxygen in streams. The procedure uses a variable sampling ratio, sampling less frequently when the process is in control. The sampling procedure can be considered as a simple Markov process, as will be indicated. The sampling plan is defined in section 2 along with a consideration of some of the properties of such a procedure. In section 3 the application of this procedure to the problem of sampling streams for control of water pollution is discussed. Finally, an illustrative example is given in section 4 along with some comments on the usefulness of such a procedure for largescale sampling projects such as those used by state water control boards.

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