| SHEDl LING PROBLEMS ON BATCHING MACHINEABSTRACT: The model of our problems is motivated by the problem of scheduling burn-in operations for large-scale integrated circuit manufacturing. The paper mainly includes three chapters, some relating background information about scheduling and batch scheduling is introduced in Chapter l.The main result comprises two parts : Chapter 2 and Chapter 3.In Chapter 2.we discuss the problem of scheduling jobs with non-identical job sizes to minimize makespan on single and parallel batch processing machines .those problems are all NP-Complete obviously .we analyze the performance ratio of algorithm FFLPT developed by R.Uzsoy. that is 2.improve algorithm FFSPT and prove its worst-case performance ratio is also 2.As to the parallel machines .we provide two heuristic algorithms (PFFLPT and PFFLS) and prove their performanceratios are and 3 respectively. In Chapter 3.suppose thebatching machine can handle up to B jobs simultaneously, we analyze the unbounded model (i.e. B >n land jobs with unequal release dates, prove theproblems , and , are all NP-Complete through polynomial reduction from the partition problem respectively. |
