Joint reply to the erratum and the note on "Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning" [Math. Comput. Modelling 50 (2009) 401-406]

Authors:
M. Duran Toksari;Daniel Oron;Ertan GüNer
Affiliations:
-;-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

Citing 14
Cited 0

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Minimizing the total completion time in permutation flow shop with machine-dependent job deterioration rates

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The common due-date early/tardy scheduling problem on a parallelmachine under the effects of time-dependent learning and linear and nonlinear deterioration

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A deteriorating jobs problem with quadratic function of job lateness

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Minimizing the number of tardy jobs under piecewise-linear deterioration

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A branch and bound algorithm for minimizing makespan on a single machine with unequal release times under learning effect and deteriorating jobs

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Erratum to "Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning" [Math. Comput. Modelling 50 (2009) 401-406]

Computers & Mathematics with Applications
Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning

Mathematical and Computer Modelling: An International Journal
Short communication: Notes on "Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning"

Mathematical and Computer Modelling: An International Journal

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Abstract

We present that the example solved for Theorems 1-4 proposed by Toksari et al. [Toksari, M.D., Oron, D. and Guner, E. (2009)] in [Wang X.-Y., Wang L.-Y., Wang J.-B. (in press) Note on ''Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning'' [Math. Comput. Modelling 50 (2009) 401-406], Mathematical and Computer Modelling] is incorrect. They obtained wrong solution to example because they wrongly analyzed the deterioration rate. We show that the correct solution for the given counterexample. The solution proves the Theorems 1-4 proposed by Toksari et al. [Toksari, M.D., Oron, D. and Guner, E. (2009)] are correct.