Supply Sequence Modelling Using Hidden Markov Models

Abstract

Logistics processes, their effective planning as well as proper management and effective implementation are of key importance in an enterprise. This article analyzes the process of supplying raw materials necessary for the implementation of production tasks. The specificity of the examined waste processing company requires the knowledge about the size of potential deliveries because the delivered waste must be properly managed and stored due to its toxicity to the natural environment. In the article, hidden Markov models were used to assess the level of supply. They are a statistical modeling tool used to analyze and predict the phenomena of a sequence of events. It is not always possible to provide sufficiently reliable information with the existing classical methods in this regard. Therefore, the article proposes modeling techniques with the help of stochastic processes. In hidden Markov models, the system is represented as a Markov process with states that are invisible to the observer but with a visible output (observation) that is a random state function. In the article, the distribution of outputs from the hidden states is defined by a polynomial distribution.

Stochastic operation model for readiness assessment of small wind turbines based on Markov theory

“…Probabilities of interstate transitions in stochastic matrix P is defined as [55, 56]: $$$$\begin{eqnarray}P \left( {{X_{{t_{n + 1}}}} = {s_{n + 1}}| {X_{{t_n}}} = {s_n}} \right) &=& P \left( {{X_{{t_{n + 1}} - {t_n}}} = {s_{n + 1}}| {X_0} = {s_n}} \right)\nonumber\\ &=& {p_{ij}}\left( {{t_{n + 1}} - {t_n}} \right)\end{eqnarray}$$$$…”

Comparison of the Relative Importance of Factors Affecting the Conveyance of Bulk and Liquid Cargo

“…The results of the calculation of the criterion arrangement by importance of expert opinions by the dangerous factors in the evaluation of the transportation of bulk and liquid cargoes. The findings indicate that the ranking of the most hazardous elements varies depending on the nature of the cargo [37][38][39]. When assessing the relationship and its magnitude among several components, it is crucial to determine their interdependence.…”

Testing and modeling the possibility of using a lamellar grinding wheel with an adaptive background structure

“…The tool wear process can be characterized by the change of control parameters [26,28]. Tool condition monitoring reduces the production costs and time required to service cutting tools as well as increases the efficiency of the manufacturing process [4,5,11]. Various strategies and techniques are used in the interpretation of measured data [20,29,30].…”

“…An essential problem in the production process is to identify and select the important factors affecting its stability [34]. This allows an evaluation of the current condition and implementation of the solutions to compensate the disturbance, if it is identified [4,17,23]. A separate issue is to conduct laboratory test to determine the strength of individual components.…”