An important special case of the problem studied in Cheng and Kovalyov (1996) arises when there are equal setup times and equal job processing times. Computational complexity of this case was indicated to be open, however. I prove its NP-hardness. Cheng and Kovalyov [l] introduced the following due date assignment and scheduling problem. There are n groups of jobs to be scheduled for processing...

This study investigates single-machine due-date assignment and scheduling problems with a job-dependent aging effect under a deteriorating maintenance activity consideration simultaneously. The maintenance activity can be scheduled immediately after any one of the jobs has been completed. In order to model the problem more realistic, we assume that: (1) once the maintenance activity has been co...

We investigate a common due-date assignment scheduling problem with a variable maintenance on a single machine. The goal is to minimize the total earliness, tardiness, and due-date cost. We derive some properties on an optimal solution for our problem. For a special case with identical jobs we propose an optimal polynomial time algorithm followed by a numerical example.

In this paper, an integrated due date assignment, and delivery scheduling of order for multi customer for make to order production system in supply chain has been survered. One manufacture received n orders from K customers. The due date of orders for each customer is common and manufacture can assign the due dates with a related cost. Orders must be process by one machine and send to customers...

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...

This paper considers common due-date assignment and scheduling on parallel machines. The main decisions are: (a) deter-mining the common due-date; (b) allocating jobs to machines; and (c) sequencing the jobs assigned to each machine. The objective is to minimize the sum of the penalties associated with common due-date assignment, earliness and tardiness. As an extension of the existing studies ...

We consider the problem of scheduling n groups of jobs on a single machine where three types of decisions are combined: scheduling, batching and due-date assignment. Each group includes identical jobs and may be split into batches; jobs within each batch are processed jointly. A sequence independent machine set-up time is needed between each two consecutively scheduled batches of different grou...

This study attempts to enhance the responsiveness of enterprises by adjusting the delivery dates taking into account of the production and delivery schedules in a supply chain. To enhance responsiveness, we suggest a due-date assignment method and re-negotiation process for a sales order processing system. The due-date assignment method is designed with the concept of categorized customers’ pri...

Many online problems encountered in real-life involve a two-stage decision process: upon arrival of a new request, an irrevocable first-stage decision (the assignment of a specific resource to the request) must be made immediately, while in a second stage process, certain ”subinstances” (that is, the instances of all requests assigned to a particular resource) can be solved to optimality (offli...