Single machine scheduling problems with delivery times under simple linear deterioration
نویسنده
چکیده
We consider several single machine scheduling problems in which the processing time of a job is a simple linear increasing function of its starting time and each job has a delivery time. The objectives are to minimize the functions about delivery completion times. For the former three problems, we propose polynomial-time algorithms to solve them. For the last problem, we prove that it is NP-hard when all jobs have release dates.
منابع مشابه
Design of a Hybrid Genetic Algorithm for Parallel Machines Scheduling to Minimize Job Tardiness and Machine Deteriorating Costs with Deteriorating Jobs in a Batched Delivery System
This paper studies the parallel machine scheduling problem subject to machine and job deterioration in a batched delivery system. By the machine deterioration effect, we mean that each machine deteriorates over time, at a different rate. Moreover, job processing times are increasing functions of their starting times and follow a simple linear deterioration. The objective functions are minimizin...
متن کاملGENETIC AND TABU SEARCH ALGORITHMS FOR THE SINGLE MACHINE SCHEDULING PROBLEM WITH SEQUENCE-DEPENDENT SET-UP TIMES AND DETERIORATING JOBS
This paper introduces the effects of job deterioration and sequence dependent set- up time in a single machine scheduling problem. The considered optimization criterion is the minimization of the makespan (Cmax). For this purpose, after formulating the mathematical model, genetic and tabu search algorithms were developed for the problem. Since population diversity is a very important issue in ...
متن کاملSolving the Single Machine Problem with Quadratic Earliness and Tardiness Penalties
Nowadays, scheduling problems have a considerable application in production and service systems. In this paper, we consider the scheduling of n jobs on a single machine assuming no machine idleness, non-preemptive jobs and equal process times. In many of previous researches, because of the delivery dalays and holding costs, earliness and tardiness penalties emerge in the form of linear combin...
متن کاملSingle-machine scheduling with past-sequence-dependent delivery times and deteriorating jobs
This paper addresses some single-machine scheduling problems with past-sequence-dependent (p-s-d) delivery times and deteriorating jobs. By the past-sequence-dependent (p-s-d) delivery times, we mean that the delivery time of any job is proportional to the job’s waiting time. It is assumed that the deterioration process reflects a increase in the process time as a function of the job’s starting...
متن کاملTwo-stage fuzzy-stochastic programming for parallel machine scheduling problem with machine deterioration and operator learning effect
This paper deals with the determination of machine numbers and production schedules in manufacturing environments. In this line, a two-stage fuzzy stochastic programming model is discussed with fuzzy processing times where both deterioration and learning effects are evaluated simultaneously. The first stage focuses on the type and number of machines in order to minimize the total costs associat...
متن کامل