International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2016
Volume 26 - 2016

Reliability-based economic model predictive control for generalised flow-based networks including actuators’ health-aware capabilities

Juan M. Grosso, Carlos Ocampo-Martinez, Vicenç Puig

Abstract
This paper proposes a reliability-based economic model predictive control (MPC) strategy for the management of generalized flow-based networks, integrating some ideas on network service reliability, dynamic safety stock planning, and degradation of equipment health. The proposed strategy is based on a single-layer economic optimisation problem with dynamic constraints, which includes two enhancements with respect to existing approaches. The first enhancement considers chance-constraint programming to compute an optimal inventory replenishment policy based on a desired risk acceptability level, leading to dynamical allocation of safety stocks in flow-based networks to satisfy non-stationary flow demands. The second enhancement computes a smart distribution of the control effort and maximises actuators’ availability by estimating their degradation and reliability. The proposed approach is illustrated with an application of water transport networks using the Barcelona network as the case study considered.

Keywords
model predictive control, flow-based networks, dynamic safety stocks, actuator health, service reliability, chance constraints, economic optimisation

DOI
10.1515/amcs-2016-0044