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which sentence is right? ”To reduce the computational times, improve the effectiveness of the algorithm and ensure at the bottleneck station both the desired WIP and vehicle status, the whole set of stages are grouped into 3 parts“ or "To reduce the computational times,to improve the effectiveness of the algorithm and to ensure at the bottleneck station both the desired WIP and vehicle status, the whole set of stages are grouped into 3 parts" I am more inclined to the second,am i right?

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The only difference between the two versions is the extra "to"s before two infinitive verbs in the second. You can choose to include them or not, but normally people drop them in parallel structures. If you are confident in your use of parallel structures, then omit "to" in the second and subsequent elements of lists like the one here. Your writing is very technical and there are more significant ways in which you can improve your text than the issue you identified. For example, the sentence which included "set", "stages" and "parts", which are related words, might be confusing.

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