Communications in Mathematical Sciences
Volume 14 (2016)
Routing strategies in production networks with random breakdowns
Pages: 1799 – 1820
Routing strategies in unreliable production networks are an essential tool to meet given demands and to avoid high inventory levels. Therefore, we are interested in studying stateindependent and state-dependent control policies to maximize the total throughput of the production network. Different from M/M/1 queuing theory, the underlying model is based on partial and ordinary differential equations with random breakdowns capturing the time-varying behavior of the system. The key idea is to numerically compare suitable routing strategies with results computed by nonlinear optimization techniques. We comment on the efficiency of the proposed methods and their qualitative behavior as well.
production networks, differential equations, random breakdowns, routing strategies, optimal control
2010 Mathematics Subject Classification
65Mxx, 90B15, 90C30