Abstract
A production complex for concurrently manufacturing several products is studied. Every product has its own technological route, which is a sequence of jobs implemented on particular machines. The duration of every job is a random variable distributed by a given law. A discrete production time is defined for every product. A schedule for starting the production of all products that minimizes the expectation of total expenses on penalties and storage, i.e., overhead charges, is determined. Such a schedule is random and is formed by choosing a product from a queue for a given period. A decision making model is designed for determining cost indexes.
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