In this study, we consider single-machine scheduling problems with past-sequence-dependent (denoted by psd) setup times in which the of jobs are proportional to length already processed jobs. Under common (CON) and slack (SLK) due-date assignment methods, prove that weighted sum earliness, tardiness minimization remains polynomially solvable. We also give some extensions for psd times.

We consider a single-machine scheduling problem with equal-sized jobs. The objective is to minimize the maximum weighted earliness-tardiness and due-date costs. We present an algorithm to solve this problem. Our algorithm makes use of bottleneck jobs and priority queues, and has a computational complexity of O(n logn). This complexity is a significant improvement of the existing algorithm in th...

We consider the unrelated parallel machines scheduling problem where jobs have earliness and tardiness penalties and a common due date. We formulate this problem and some of its variants as 0-1 programs with quadratic objective function subject to linear constraints. The main contribution of this paper is to use and develop different convex reformulations to solve exactly the quadratic programs...

We consider the problem of common due window location scheduling on a single machine, where the processing times of jobs depend both on their starting times and positions in a sequence. The problem is to determine the optimal earliest due date, the due window size, and the job schedule simultaneously to minimize costs for earliness, tardiness, earliest due date assignment and due window size pe...

Alidaee and Ahmadian considered a single machine scheduling problem with varying processing times, and presented a polynomial algorithm that minimizes the sum of absolute deviations of jobs’ completion times from a common due date. In this short note we remark that it is possible to eliminate one of the algorithm steps, therefore obtaining a more efficient procedure. We also show that the appro...

  In this paper, we consider a flow shop scheduling problem with bypass consideration for minimizing the sum of earliness and tardiness costs. We propose a new mathematical modeling to formulate this problem. There are several constraints which are involved in our modeling such as the due date of jobs, the job ready times, the earliness and the tardiness cost of jobs, and so on. We apply adapte...

In this study, a conceptual framework is given for the dynamic multi-project scheduling problem with weighted earliness/tardiness costs (DRCMPSPWET) and a mathematical programming formulation of the problem is provided. In DRCMPSPWET, a project arrives on top of an existing project portfolio and a due date has to be quoted for the new project while keeping the costs related to changes in the sc...

Traditional machining economics looks into the optimal set of machining conditions under which the production cost or time per part is minimized. No due dates are included in the consideration. Job sequencing searches for the optimal order of jobs so that lateness and/or earliness is minimized. The optimization assumes that processing times are fixed. In practice, processing times are variable ...

We present a novel model for due date quotation. Jobs arrive at a single server or m-machine flow shop over time. Upon arrival, the processing times on each machine of the job are known, and due dates must be quoted for each job. The jobs are sequenced on the machines without preemption. Associated with each job, there are three measures of disadvantages to the inventory cost and the service le...

We consider a queueing facility where customers decide when to arrive. All customers have the same desired arrival time (w.l.o.g. time zero). There is one server, and the service times are independent and exponentially distributed. The total number of customers that demand service is random, and follows the Poisson distribution. Each customer wishes to minimize the sum of three costs: earliness...