Every manufacturing engineer knows the frustration: the machines are humming, the warehouse is overflowing, and the electric pallet trucks are idling in a corner because nobody planned the three systems together. A new study published in Frontiers in Mechanical Engineering argues that this fragmentation is not an inevitable cost of doing business but a solvable mathematical problem, and it backs the claim with hard numbers from a working machine-building shop.
Researchers from Abylkas Saginov Karaganda Technical University in Kazakhstan and Peter the Great St. Petersburg Polytechnic University in Russia have developed a hierarchical, multi-criteria optimization model that simultaneously balances the workload of machine tools, transport vehicles, and storage systems across five nested time horizons: the calendar year, the quarter, the month, the working day, and the shift. When they tested the model on a real production unit running two shifts, 83 product groups, and 450 manufacturing operations, annual equipment efficiency rose by 15.11 percent and total system downtime fell by 19.31 percent.
The core insight is deceptively simple. Traditional planning approaches optimize one resource at a time: first the machines, then the vehicles, then the warehouse. Each step may look locally sensible, but the sequence creates information gaps and interface downtime that no single department can see, let alone fix. The new model instead treats the entire asset portfolio as one interconnected system, with the output of each higher planning level acting as a rigid constraint on the level below it.
Mathematically, the framework is built on vector optimization criteria evaluated through Pareto analysis. At each management level, the researchers generated sets of non-dominant alternatives, meaning solutions in which no single objective can be improved without degrading another. For the annual allocation of machining operations across 17 machines, including CNC lathes, turning-milling centers, boring machines, and cylindrical and surface grinders, the team evaluated eleven Pareto-optimal variants. For the fleet of three electric pallet trucks, they generated 23 non-dominated transport allocation scenarios. Choosing among these trade-off fronts, rather than collapsing everything into a single weighted score, is what allows the model to respect the distinct physics of each asset class.
The hierarchy itself is unusual. Where classical advanced planning systems decompose by time horizon, strategic, tactical, operational, the Kazakh-Russian team decomposes by both time and resource type. Sublevel 1.1 assigns machining operations to specific machines for the year; its output matrix then constrains sublevel 1.2, which assigns inter-operation storage locations, because each machine is physically tied to a particular warehouse. The storage solution in turn constrains sublevel 1.3, which allocates transport operations, since the type of transport move, inter-shop or intra-shop, determines route duration and the loading equipment required. The processing time of a part on a machine directly dictates the delivery schedule of the vehicle that serves it, and the physical capacity of the warehouse limits the production rhythm of the machines.
The practical results are striking. Redistributing production batches according to Pareto-optimal solutions cut load variability on milling machines by 6.78 percent and on grinding machines by 8.65 percent. Vehicle capacity utilization jumped by 37.06 percent while vehicle downtime dropped by 28.86 percent. At the quarterly level, equipment load variability fell by 34.68 percent and downtime unevenness by 54.24 percent. At the shift level, load variability declined by 36.59 percent and vehicle downtime unevenness by 14.28 percent. Across the whole system, load variability decreased by 15.9 percent.
One honest limitation stands out. At the annual planning level, the researchers deliberately excluded failure-probability parameters because the enterprise lacked reliable statistical data on breakdowns of specific machines and vehicles. Rather than inject unreliable reliability figures that could distort the Pareto front, they omitted those components from the global-level equations, a pragmatic decision that highlights how data quality, not just algorithm design, constrains real-world optimization.
The model’s modular architecture is arguably its most forward-looking feature. Each new class of production asset, whether a casting press, an automated guided vehicle fleet, or an automated storage and retrieval system, can be added as a separate management sublevel without redesigning the entire planning structure. This scalability matters as manufacturers digitize and reconfigure lines dynamically, and the authors suggest the framework could eventually integrate with ERP and MES systems to enable predictive analytics and automatic schedule generation.
The downstream consequences reach beyond the shop floor. By eliminating the gaps between production, logistics, and warehousing, the approach reduces production cycle times, shrinks work-in-process inventory, and cuts order delays. Coordinated transport planning means fewer idle runs and lower fuel consumption. Balanced schedules mean dispatchers spend less time firefighting and more time on strategy. For an industry under pressure to deliver more with less, the message is clear: the biggest efficiency gains may lie not in any single machine, but in the mathematics that binds them all together.
Subject of Research: Hierarchical multi-criteria optimization of production, transport, and storage asset utilization in machine-building systems
Article Title: Integrated multi-criteria optimization of production, transport, and storage assets in machine-building systems
Article References: Nurzhanova, O., Khrustaleva, I., Shkodyrev, V., Zharkevich, O., Bakenov, A., Zakirov, K., & Safaryan, A. (2026). Integrated multi-criteria optimization of production, transport, and storage assets in machine-building systems. Frontiers in Mechanical Engineering, 12, Article 1885264. https://doi.org/10.3389/fmech.2026.1885264
Image Credits: AI Generated
DOI: 10.3389/fmech.2026.1885264
Keywords: multi-criteria optimization, Pareto optimization, production planning, machine-building, hierarchical scheduling, equipment utilization, downtime reduction, industrial logistics, vector optimization, manufacturing systems, warehouse planning, vehicle fleet scheduling
News Source: Denise Maddox. (October 16, 2026). One Hierarchy to Rule the Shop Floor: New Model Cuts Machine Downtime by Nearly 20 Percent. Scienmag.
