The study of scheduling problems with earliness–tardiness (E/T) penalties is motivated by the just-in-time (JIT) philosophy, which supports the notion that earliness, as well as tardiness, should be discouraged. In this work, we consider several scheduling problems. We begin by generalizing a known polynomial time algorithm that calculates an optimal schedule for a given sequence of tasks, on a...

This paper considers a scheduling problem for a single burn-in oven in the semiconductor manufacturing industry where the oven is a batch processing machine with restricted capacity. The batch processing time is set by the longest processing time among those of all the jobs contained in the batch. All jobs are assumed to have the same due date. The objective is to minimize the sum of the absolu...

In this paper, we present a genetic algorithm approach that considers the single machine scheduling problem. There are n jobs, in which each job j ( 1 2 j n = , ,..., ) has a normal processing time j p , a due date j d , earliness penalty j α , and tardiness penalty j β . The objective is to find the sequence of jobs that minimizes the weighted sum of earliness and tardiness penalty costs, with...

This paper investigates thenotion of preemption in scheduling,with earliness and tardiness penalties. Starting from the observation that the classical cost model where penalties only depend on completion times does not capture the just-in-time philosophy, we introduce a new model where the earliness costs depend on the start times of the jobs. To solve this problem, we propose an efficient repr...

As the resource constrained project scheduling problem (RCPSP) has a wide range of applications, its models, extensions and algorithms have been intensively studied [2]. As for objective functions, makespan minimization has commonly been used, while the importance of non-regular ones such as earliness-tardiness are also recognized. In this paper, we introduce a time-lag cost, which is charged a...

We study problems of scheduling n unit-time jobs on m identical parallel machines, in which a common due window has to be assigned to all jobs. If a job is completed within the due window, then no scheduling cost incurs. Otherwise, a job-dependent earliness or tardiness cost incurs. The job completion times, the due window location and the size are integer valued decision variables. The objecti...

In this paper, we propose n-jobs to be processed on Single Machine Scheduling Problem (SMSP) involving fuzzy processing time and fuzzy due dates. The different due dates for each job be considered which meet the demand of customer with more satisfaction level. The main objective of this paper is the total penalty cost to be minimum in the schedule of the jobs on the single machine. This cost is...