Job scheduling has always been a challenging task in modern manufacturing and the most real life scheduling problems which involves multi-criteria and multi-machine environments. In this research our direction is largely motivated by the adoption of the Just-In-Time (JIT) philosophy in parallel machines system, where processing times of jobs are controllable. The goal of this paper is to minimi...

Appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. One type of scheduling problems is just-in-time (JIT) scheduling and in this area, motivated by JIT manufacturing, this study investigates a mathematical model for...

In this paper we give a survey of the most important results on multicriteria scheduling that have appeared in the literature or are to appear. We provide an extensive introduction including two example problems and then discuss the relevant literature. Here we pay special attention to the area of earliness-tardiness scheduling, scheduling with controllable processing times, simultaneous approx...

The one-machine scheduling problem with sequence-dependent setup times and costs and earliness-tardiness penalties is addressed. This problem is NP-complete, so that local search approaches are very useful to efficiently find good feasible schedules. In this paper, we present an extension of the dynasearch neighborhood for this problem. Finding the best schedule in this neighborhood is shown to...

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 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 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...