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Articles by M.B. Fakhrzad
Total Records ( 2 ) for M.B. Fakhrzad
  M.B. Fakhrzad , Mehdi Heydari and H. Khademi Zare
  In this study, we consider the tardiness and earliness-minimizing inexact flexible flow line problem with n jobs and m stages and uncertain processing times, setup times and due-dates. For each operation, an uncertainty interval is given and it is assumed that the processing time of each operation can take on any value from the corresponding uncertainty interval, regardless of the values taken by processing times of other operations. For most of scheduling problems, processing times, setup times and due-dates are treated as certain values, but that is not proper to all actual situations. Processing times and setup times are not constant because of measurement errors in the data sets for deciding them and/or human actions in the manufacturing process. In some cases, a decision maker may prefer using interval numbers as coefficients of an inexact relationship. As a coefficient an interval assumes an extent of tolerance or a region that the parameter can possibly take. A model mixed integer design of the problem is formulated in inexact environment. On the basis of a comparative study on ordering interval numbers, inequality constraints involving interval coefficients are reduced in their satisfactory crisp equivalent forms and a satisfactory solution of the problem is defined.
  M.B. Fakhrzad and Mehdi Heydari
  In this study, the triangular membership functions are used for flexible flow-lines with m machine centers to examine processing-time uncertainties and to make scheduling more suitable for real applications. A methodology is developed for modeling flexible flow line scheduling with fuzzy processing times, fuzzy due dates, fuzzy set-up times, fuzzy holding costs and fuzzy shortage costs. A fuzzy scheduling model is presented and a hybrid algorithm is also designed for its solution. Finally, some numerical examples are developed and solved to demonstrate the computational efficiency of the proposed algorithm.
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