In many real scheduling environments, a job processed later needs longer time than the same job when it starts earlier. This phenomenon is known as scheduling with deteriorating jobs to many industrial applications. In this paper, we study a scheduling problem of minimizing the total completion time on identical parallel machines where the processing time of a job is a step function of its star...

We study a scheduling problem with deteriorating jobs, i.e., jobs whose processing times are an increasing function of their start times. We consider the case of a single machine and linear job-independent deterioration. The problem is to determine an optimal combination of the due date and schedule so as to minimize the sum of due-date, earliness and tardiness penalties. We give an O(n logn) t...

Article History: Received 05 January 2017 Accepted 23 February 2017 Available 15 July 2017 This study focuses on identical parallel machine scheduling of jobs with deteriorating processing times and rate-modifying activities. We consider nonlinearly increasing processing times of jobs based on their position assignment. Rate modifying activities (RMAs) are also considered to recover the increas...

In this paper we study the problem of scheduling n deteriorating jobs on m identical parallel machines. Each job’s processing time is a nondecreasing function of its start time. The problem is to determine an optimal combination of the due-date and schedule so as to minimize the sum of the due-date, earliness and tardiness penalties. We show that this problem is NP-hard, and we present a heuris...

This study focuses on solving a special kind of job shop scheduling problem (JSP), where the job value is exponentially deteriorating over time. The current study attempted to find out whether the expected benefits of Lot Streaming (LS) can be found in solving the JSP with the objective of maximizing the total value of the jobs. LS is a process of splitting jobs into smaller sub-jobs such that ...

Traditional scheduling assumes that the processing time of a job is fixed. Yet there are numerous situations that the processing time increases (deteriorates) as the start time increases. Examples include scheduling cleaning or maintenance, fire fighting, steel production and financial management. Scheduling of deteriorating jobs was first introduced on a single machine by Browne and Yechiali, ...