Bi-objective optimisation approaches to Job-shop problem with power requirements

Energy-Efficient Scheduling in Job Shop Manufacturing Systems: A Literature Review

“…Most of these 163 papers, about two-thirds, minimize the total energy consumption. In contrast, just two papers [69,70] minimize the peak power consumption. The minimization of the total energy cost and of the total carbon emissions have been considered more recently.…”

“…(Note that most authors consider just some of the energy consumption types.) The papers on peak power consumption are excluded from this figure, since there are only two [69,70] and both consider only processing energy consumption. Figure 5 has three circles: the innermost circle depicts, in parentheses, the number of papers considering each of the energy efficiency objective functions; the middle circle shows the number of papers on the JSP and on the FJSP for each of the objectives considered in the inner circle; and the outer circle depicts the percentage of papers that consider each of the energy consumption types for each problem type (middle circle) and each objective function (inner circle).…”

“…Regarding adapted energy-efficient JSP instances, they have been adapted mainly from the JSP instances originally proposed by Adams et al [151] (abz5~abz9), Fisher and Thompson [152] (ft06, ft10, and ft20), Lawrence [153] (la01~la40), and Applagate and Cook [52] (orb01~orb10). Different authors adapted them in different ways and by adding additional data, typically randomly generated, as in the following examples: energy consumption for each operation [70], energy consumption for each operation at different speed levels [30,33,50,80,114], energy consumption for each operation and for turn on/off actions [23,25,26], energy consumption for each operation and each maintenance activity and a due date for each job [105], and energy consumption for each operation at different speed levels and a due date for each job [30].…”

Energy-Oriented Production Planning in Industry: A Systematic Literature Review and Classification Scheme

“…In a similar way, Ref. [50] assumed an energy demand threshold and presented an approach that minimized this energy demand threshold, as well as the total completion time.…”

“…With this in mind, multiple articles depart from the simplified assumption of constant energy utilization and operation time in job processing (e.g., constant power demand presented as one energy bloc). One approach regarding this is the consideration of variations in an operation's power profile, as in [33,50,110]. In order to provide a more realistic modeling, all three articles divide an operation's power profile into two blocs with a power peak at the beginning of each process and a lower demand for the remaining part of the processing time.…”