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Balancing Waste Water Treatment Plant Load Using Branch and Bound

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Book cover Decision Making under Constraints

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 276))

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Abstract

The problem of smoothing dry weather inflow variations for a Waste Water Treatment Plant (WWTP) that receives sewage from multiple mixed sewer systems is formulated. A first rough control algorithm that uses branch and bound is presented. The control algorithm uses a form of Model Predictive Control. Trials showed that the algorithm had trouble satisfying two constraints that were initially regarded as ‘soft’ constraints. As a result, a closer look was taken at the feasibility of the problem. A family of simpler problems were derived to do so. These auxiliary problems made it possible to show that for a given subclass feasibility was strongly dependent on the choice of problem parameters.

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References

  1. Dyckhoff, H.: A typology of cutting and packing problems. Eur. J. Oper. Res. 44(2):145–159 (1990). https://doi.org/10.1016/0377-2217(90)90350-k. ISSN 0377-2217

  2. NLingenieurs Sewer Systems Workgroup: Sewer Systems Module for Higher Professional Education. KIVI-NIRIA, The Hague, The Netherlands (2009)

    Google Scholar 

  3. Perkins, J.R., Kumark, P.R.: Stable, distributed, real-time scheduling of flexible manufacturing/assembly/disassembly systems. IEEE Trans. Autom. Control. 34(2):139–148 (1989). https://doi.org/10.1109/9.21085. ISSN 0018-9286

  4. van Nooijen, R., Kolechkina, A.: A controlled sewer system should be treated as a sampled data system with events. IFAC-PapersOnLine 51(16):61–66 (2018). https://doi.org/10.1016/j.ifacol.2018.08.011. ISSN 2405-8963. http://www.sciencedirect.com/science/article/pii/S2405896318311248. 6th IFAC Conference on Analysis and Design of Hybrid Systems ADHS 2018

  5. van Nooijen, R.R., Kolechkina, A.: Speed of discrete optimization solvers for real time sewer control. Urban Water J. 10(5):354–363 (2013). https://doi.org/10.1080/1573062x.2013.820330. ISSN 1744-9006

  6. van Nooijen, R.R., Kolechkina, A.G.: Realizing steady supply to a treatment plant from multiple sources. IFAC-PapersOnLine 49(9):29–32 (2016). https://doi.org/10.1016/j.ifacol.2016.07.483. 6th IFAC Symposium on System Structure and Control, SSSC, 2016

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Correspondence to Ronald van Nooijen .

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van Nooijen, R., Kolechkina, A. (2020). Balancing Waste Water Treatment Plant Load Using Branch and Bound. In: Ceberio, M., Kreinovich, V. (eds) Decision Making under Constraints. Studies in Systems, Decision and Control, vol 276. Springer, Cham. https://doi.org/10.1007/978-3-030-40814-5_25

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