Optimization problems for ensuring ecological safety of main oil pipelines

This article is devoted to the search for optimal conditions for environmental and economic security of oil main pipelines using classical calculus of variations. The goal functions here are either stochastic reliability criteria for deterministic parametric criteria, or parametric criteria for specified reliability criteria. The functions of the optimization process are environmental and technological indicators of the system, taking into account the characteristics of oil pipelines or a set of measures to improve their reliability. The arguments are environmental and economic indicators that reflect the impact of control actions on the state of the environment and on the level of costs for the implementation of proposals. The formulation and study of the variational problem showed that only the introduction of environmental technologies and structures can minimize the cost of ensuring the safety of the impact of oil main pipelines on the host ecosystem.

Stochastic Reliability Measurement and Design Optimization of an Inventory Management System

Inventory management systems and dynamic reliability measures and controls remain challenging at every stage, especially when time variances and operating conditions are considered. An inventory management system must maintain its adeptness over time while coping with the uncertainty of inventory flow. Unexpected delays during inventory movement can harm the reliability and robustness of the entire system. This paper introduces a method of quantifying the reliability of an inventory management system. Also, a novel, reliability-based robust design optimization model has been developed to optimally allocate and schedule time while considering uncertainty associated with inventory movement. The processes involved include purchasing, shipping, receiving, tracking, warehousing, storage, and turnover. A case study of a furniture company in Saudi Arabia is presented to demonstrate the efficacy of the model.