The weighted earliness tardiness parallel machine scheduling problem is NP hard. It is herein approximately solved using a decentralized multi-agent system (MAS). MAS acts as a moderator of two types of agents: free jobs, and groups of jobs assigned to machines. MAS yields good solutions’ quality in reduced run times as evidenced by the computational results. Most importantly, it can be easily ...

This paper studied the flow shop scheduling problem under machine availability constraints. The machines are subject to flexible preventive maintenance activities. The nonresumable scenario for the jobs was considered. That is, when a job is interrupted by an unavailability period of a machine it should be restarted from the beginning. The objective is to minimize the total tardiness time for t...

In this paper we consider the single machine earliness/tardiness scheduling problem with different release dates and no unforced idle time. We analyse the performance of several dispatch rules, a greedy procedure and a decision theory local search heuristic. The dispatch rules use a lookahead parameter whose value must be specified. We perform some experiments to determine an appropriate value ...

In one-machine scheduling, MIP time-indexed formulations are often used to provide very good lower bounds through Lagrangian relaxations. In order to get an improved lower bound, we add valid cuts to a time-indexed formulation and show we still have a Lagrangian relaxation that can be solved as a shortest path in a graph. Two branch-and-bound algorithms are then presented for the earliness-tard...

Abstract—In most classical scheduling models, a job is assumed to deliver to a customer at the instant of a job processing completion. In numerous practical situations, however, multiple delivery dates exist, where the time interval between any two consecutive delivery dates is constant. This type of fixed delivery strategy results in substantial cost savings for transportation and handling. Th...

In this paper we study the resource-constrained project scheduling problem with weighted earliness-tardiness penalty costs. Project activities are assumed to have a known deterministic due date, a unit earliness as well as a unit tardiness penalty cost and constant renewable resource requirements. The objective is to schedule the activities in order to minimize the total weighted earliness-tard...

This paper presents a new multiple-time grid, continuous-time mixed integer linear program (MILP) model for the short-term scheduling of single stage, multiproduct plants featuring equipment units with sequence dependent changeovers. It considers combined processing and changeover tasks as opposed to handling them separately and is very versatile in terms of type of objective function that can ...

extensive research has been devoted to resource constrained project scheduling problem. however, little attention has been paid to problems where a certain time penalty must be incurred if activity preemption is allowed. in this paper, we consider the project scheduling problem of minimizing the total cost subject to resource constraints, earliness-tardiness penalties and preemption penalties, ...