Scheduling Models With Effect Of Deterioration And Learning Effect

In this paper,we consider the single-machine scheduling and the single-machine scheduling under group consumption with the effects of deterioration and learning. Each problem has two scheduling model,and for different objective function,we give polynomial algorithm.In the second chapter, we study two single-machine scheduling model, 1│Pi[r]=(Po=α(t))rβ│f(C)and 1│Pi[r]=(Prβ=α(t))│f(C).We show that the makespan,total completion and total square of completion is polynomially solvable under each of the proposed models.We also show it's polynomially solvable for tardiness when we assume that Pi≤Pk if and only if di≤di(i=1,2..n)under the proposed models.In the third chapter,we study two single-machine scheduling model under group technology. Formodel 1│Pij[r]=αi,(?),Sr=δ(?),GT│f(C) and 1│Pij[r]=αi,j(a=bt)rβi,Si=δi(a=bt),GT│f(C),we obtain polynomially algorithmf for makespan and total completion.We also obtain polynomially algorithm for total weighted completion when we assume thatαi,u≥αiv if and only if Wi,u≤Wi,v (i=1,2..m)under the two proposed models.