Optimizing time, cost and quality in multi-mode resource-constrained project scheduling
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...Due to the nonlinear nature of the discussed relation, in the model it was replaced by additional linear relations (17) - (19) (see Table 2), which allowed to maintain the linear character of the model....
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...sjk + Djk < sjl , j ∈ V , ∀ k, l : k, l ∈ L ∧ l = k + 1 (18) Condition for the completion of the units on objects in a xed order suk + Duk ≤ svl + M · (1 − yuv) + M · (2 − xur − xvr), ∀ (u, v) ∈ Jr , ∀r ∈ R, ∀k, l ∈ L (19) Allow setting deadlines for starting activity that cannot be carried out in parallel by the same contractor...
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...…in world literature (Mattila and Abraham, 1998; Kolisch and Padman, 2001; Herroelen and Leus, 2005; Kim et al., 2005; Anagnostopoulos and Koulinas, 2010; Jaśkowski and Sobotka, 2012; Benjaoran et al., 2015; Biruk and Jaśkowski, 2017; Kassandra and Suhartono, 2018; Kannimuthu et al., 2018)....
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