Operations scheduling under electricity time-varying prices
Yevgenia Mikhaylidi, Hussein Naseraldin, Liron Yedidsion
Global climate change requires stakeholders to consider energy elements in their decision-making. Electricity costs, in particular, constitute a significant portion of operational costs in most manufacturing systems. The electricity bills can be lowered if electricity-consuming operations are correctly scheduled. We consider a manufacturing operations control problem with known time-varying electricity prices in a finite planning horizon. Each operation is unique and has its own concave electricity consumption function. Pre-emptions of operations are allowed, yet postponing an operation incurs a cumulative penalty for each time period. In addition, each pre-emption is considered a new operation. The electricity cost in each time period is exogenous and there exists a capacity constraint on the total electricity amount consumed in each period due to infrastructure and providers limitations. There is a fixed start-up cost incurred for switching on the machine and a fixed reservation cost incurred for keeping the machine On. The system also includes a rechargeable battery. The customer has to determine when to process each operation within the time horizon so as to minimise total electricity consumption and operations postponement penalty costs. A dynamic programming solution is proposed and the complexity of the models is analysed. After examining several special cases of the model, the optimum times to charge and discharge the rechargeable battery are determined. A polynomial time algorithm for a special case of a single operation with uniform capacity is proposed.
International Journal of Production Research
electricity time-varying prices
peak-to-average ratio
Management Science and Operations Research
Dive into the research topics of 'Operations scheduling under electricity time-varying prices'. Together they form a unique fingerprint.
Time-varying Business & Economics 100%
Electricity Business & Economics 94%
Scheduling Engineering & Materials Science 77%
Secondary batteries Engineering & Materials Science 36%
Preemption Business & Economics 32%
Electricity Consumption Business & Economics 28%
Penalty Business & Economics 22%
Mikhaylidi, Y., Naseraldin, H., & Yedidsion, L. (2015). Operations scheduling under electricity time-varying prices. International Journal of Production Research, 53(23), 7136-7157. https://doi.org/10.1080/00207543.2015.1058981
Mikhaylidi, Yevgenia ; Naseraldin, Hussein ; Yedidsion, Liron. / Operations scheduling under electricity time-varying prices. In: International Journal of Production Research. 2015 ; Vol. 53, No. 23. pp. 7136-7157.
@article{a0d34d53317a4fb6a72a6c31bf5af5b9,
title = "Operations scheduling under electricity time-varying prices",
abstract = "Global climate change requires stakeholders to consider energy elements in their decision-making. Electricity costs, in particular, constitute a significant portion of operational costs in most manufacturing systems. The electricity bills can be lowered if electricity-consuming operations are correctly scheduled. We consider a manufacturing operations control problem with known time-varying electricity prices in a finite planning horizon. Each operation is unique and has its own concave electricity consumption function. Pre-emptions of operations are allowed, yet postponing an operation incurs a cumulative penalty for each time period. In addition, each pre-emption is considered a new operation. The electricity cost in each time period is exogenous and there exists a capacity constraint on the total electricity amount consumed in each period due to infrastructure and providers limitations. There is a fixed start-up cost incurred for switching on the machine and a fixed reservation cost incurred for keeping the machine On. The system also includes a rechargeable battery. The customer has to determine when to process each operation within the time horizon so as to minimise total electricity consumption and operations postponement penalty costs. A dynamic programming solution is proposed and the complexity of the models is analysed. After examining several special cases of the model, the optimum times to charge and discharge the rechargeable battery are determined. A polynomial time algorithm for a special case of a single operation with uniform capacity is proposed.",
keywords = "complexity, dynamic programming, electricity costs, electricity time-varying prices, peak-to-average ratio, scheduling",
author = "Yevgenia Mikhaylidi and Hussein Naseraldin and Liron Yedidsion",
note = "Publisher Copyright: {\textcopyright} 2015 Taylor & Francis.",
journal = "International Journal of Production Research",
Mikhaylidi, Y, Naseraldin, H & Yedidsion, L 2015, 'Operations scheduling under electricity time-varying prices', International Journal of Production Research, vol. 53, no. 23, pp. 7136-7157. https://doi.org/10.1080/00207543.2015.1058981
Operations scheduling under electricity time-varying prices. / Mikhaylidi, Yevgenia; Naseraldin, Hussein; Yedidsion, Liron.
In: International Journal of Production Research, Vol. 53, No. 23, 02.12.2015, p. 7136-7157.
T1 - Operations scheduling under electricity time-varying prices
AU - Mikhaylidi, Yevgenia
AU - Naseraldin, Hussein
AU - Yedidsion, Liron
N1 - Publisher Copyright: © 2015 Taylor & Francis.
N2 - Global climate change requires stakeholders to consider energy elements in their decision-making. Electricity costs, in particular, constitute a significant portion of operational costs in most manufacturing systems. The electricity bills can be lowered if electricity-consuming operations are correctly scheduled. We consider a manufacturing operations control problem with known time-varying electricity prices in a finite planning horizon. Each operation is unique and has its own concave electricity consumption function. Pre-emptions of operations are allowed, yet postponing an operation incurs a cumulative penalty for each time period. In addition, each pre-emption is considered a new operation. The electricity cost in each time period is exogenous and there exists a capacity constraint on the total electricity amount consumed in each period due to infrastructure and providers limitations. There is a fixed start-up cost incurred for switching on the machine and a fixed reservation cost incurred for keeping the machine On. The system also includes a rechargeable battery. The customer has to determine when to process each operation within the time horizon so as to minimise total electricity consumption and operations postponement penalty costs. A dynamic programming solution is proposed and the complexity of the models is analysed. After examining several special cases of the model, the optimum times to charge and discharge the rechargeable battery are determined. A polynomial time algorithm for a special case of a single operation with uniform capacity is proposed.
AB - Global climate change requires stakeholders to consider energy elements in their decision-making. Electricity costs, in particular, constitute a significant portion of operational costs in most manufacturing systems. The electricity bills can be lowered if electricity-consuming operations are correctly scheduled. We consider a manufacturing operations control problem with known time-varying electricity prices in a finite planning horizon. Each operation is unique and has its own concave electricity consumption function. Pre-emptions of operations are allowed, yet postponing an operation incurs a cumulative penalty for each time period. In addition, each pre-emption is considered a new operation. The electricity cost in each time period is exogenous and there exists a capacity constraint on the total electricity amount consumed in each period due to infrastructure and providers limitations. There is a fixed start-up cost incurred for switching on the machine and a fixed reservation cost incurred for keeping the machine On. The system also includes a rechargeable battery. The customer has to determine when to process each operation within the time horizon so as to minimise total electricity consumption and operations postponement penalty costs. A dynamic programming solution is proposed and the complexity of the models is analysed. After examining several special cases of the model, the optimum times to charge and discharge the rechargeable battery are determined. A polynomial time algorithm for a special case of a single operation with uniform capacity is proposed.
KW - complexity
KW - dynamic programming
KW - electricity costs
KW - electricity time-varying prices
KW - peak-to-average ratio
KW - scheduling
JO - International Journal of Production Research
JF - International Journal of Production Research
Mikhaylidi Y, Naseraldin H, Yedidsion L. Operations scheduling under electricity time-varying prices. International Journal of Production Research. 2015 Dec 2;53(23):7136-7157. doi: 10.1080/00207543.2015.1058981