We study two single-machine scheduling problems: Minimizing the weighted and unweighted number of tardy units, when release times are present. Fast strongly polynomial algorithms are given for both problems: For problems with n jobs, we give algorithms which require O(n log n) and O(n2) steps, for the unweighted and weighted problems respectively. Our results also imply an extension of the fami...

This paper investigates a single-machine sequencing problem where the jobs are divided into families, and where a setup time is incurred whenever there is a switch from a job in one family to a job in another family. This setup only depends on the family of the job next to come and hence is sequence independent. The jobs are due-dated, and the objective is to nd a sequence of jobs that minimize...

We consider single-machine scheduling problems with past-sequence-dependent (p-s-d) job delivery times. The p-s-d delivery time is needed to remove any waiting time-induced adverse effects on the job’s condition (prior to delivering the job to the customer) and it is therefore proportional to the job’s waiting time. We show that single-machine scheduling problems with p-s-d delivery times and w...

This paper investigates the single-machine due-window assignment scheduling with truncated learning effects and past-sequence-dependent setup times simultaneously. The scheduler has option of job-rejection, i.e., some jobs are processed other rejected. Under three (i.e., common, slack different) methods, our goal is to minimize sum a general earliness-tardiness cost weighted earliness-tardiness...

This paper discusses a two-stage assembly-type flowshop scheduling problem with batching considerations subject to a fixed job sequence. The two-stage assembly flowshop consists of m stage-1 parallel dedicated machines and a stage-2 assembly machine which processes the jobs in batches. Four regular performance metrics, namely, the total completion time, maximum lateness, total tardiness, and nu...

This article addresses resource allocation scheduling problems with slack due window on a single machine. Linear and convex are considered. Our goal is to determine the optimal schedule, window, allocation, minimizing various objective functions respect criteria (position-dependent weights number of early jobs, tardy starting time, size) consumption function. For linear problem, we study two ca...

This paper addresses the Tardy/Lost penalty minimization with common due dates on a single machine. According to this performance measure, if the tardiness of a job exceeds a predefined value, the job will be lost and penalized by a fixed value. Initially, we present a 2-approximation algorithm and examine its worst case ratio bound. Then, a pseudo-polynomial dynamic programming algorithm is de...

In this paper, a multi-objective genetic algorithm is proposed to deal with a real-world fuzzy job shop scheduling problem. Fuzzy sets are used to model uncertain due dates and processing times of jobs. The objectives considered are average tardiness and the number of tardy jobs. Fuzzy sets are used to represent satisfaction grades for the objectives taking into consideration the preferences of...