Using polyservicing in the textile industry takes into account the distinctive particularities of this branch compared to the automotive industry, in terms of materials and processed materials, production equipment, manufacturing process, etc. Performers’ random interventions are specific to polyservicing in the textile industry during the unlimited duration of the manufacturing cycle. In case of servicing several knitting machines, the structure of the machine and servicing time is taken into account, calculating the constant value and use coefficient of each machine serviced. Polyservicing the knitting machines should also take into account the maximum number of jobs corresponding to the performer’s maximum load, maximum number of machines serviced and their optimal number established according to the production costs incurred, level of soliciting the performer, and its increase, etc. A special situation in the textile industry is the case of polyservicing several machines at certain random time intervals. In this case, mathematically modelling the polyservice is based on the theory of waiting strings or on Markov chain and takes into account the inputs or arrivals in the system, the performer’s service or effective action, the service factor in the system, the waiting discipline in the system, etc. Studying the polyservicing conditions in the textile industry implies calculating some indicators of the waiting times, the machines serviced in the system, the performer working in the system, etc.
Estimation of Continuous-Time Markov Processes Sampled at Random Time Intervals
