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Exploiting Virtual Elasticity of Production Systems for Respecting OTD-Part 1: Post-Optimality Conditions for Ergodic Order Arrivals in Fixed Capacity Regimes

Exploiting Virtual Elasticity of Production Systems for Respecting OTD-Part 1: Post-Optimality Conditions for Ergodic Order Arrivals in Fixed Capacity Regimes

作     者:Bruno G. Rüttimann Martin T. Stöckli Bruno G. Rüttimann;Martin T. Stöckli

作者机构:ETH Zürich IWF Zurich Switzerland Inspire AG Zurich Switzerland 

出 版 物:《American Journal of Operations Research》 (美国运筹学期刊(英文))

年 卷 期:2020年第10卷第6期

页      面:321-342页

学科分类:0202[经济学-应用经济学] 02[经济学] 020205[经济学-产业经济学] 

主  题:On-Time-Delivery Production System Lean Manufacturing Industry 4.0 Arrival Rate Markovian Arrival Distribution Production Backlog Manufacturing Elasticity Production Capacity Bottle Neck Break-Even Point Optimal Production Volume Ergodic Processes 

摘      要:Respecting the on-time-delivery (OTD) for manufacturing orders is mandatory. This depends, however, on the probability distribution of incoming order rate. The case of non-equal distribution, such as aggregated arrivals, may compromise the observance of on-time supplies for some orders. The purpose of this paper is to evaluate the conditions of post-optimality for stochastic order rate governed production systems in order to observe OTD. Instead of a heuristic or a simulative exploration, a Cartesian-based approach is applied to developing the necessary and sufficient mathematical condition to solve the problem statement. The research result demonstrates that increasing speed of throughput reveals a latent capacity, which allows arrival orders above capacity limits to be backlog-buffered and rescheduled for OTD, exploiting the virtual manufacturing elasticity inherent to all production systems to increase OTD reliability of non JIT-based production systems.

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