Single-Machine Scheduling with Due-Window Assignment and Rate-Modifying-Activities under a Deteriorating Maintenance

2013 ◽  
Vol 278-280 ◽  
pp. 2248-2251
Author(s):  
Cheng Xin Luo
Keyword(s):  
Single Machine ◽  
Window Size ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Optimal Size ◽  
Scheduling Problems ◽  
Maintenance Activity ◽  
Deteriorating Maintenance ◽  
Due Window ◽  
Due Window Assignment

This paper studies single-machine scheduling problems with a due-window assignment and a rate-modifying activity under a deteriorating maintenance consideration simultaneously. Jobs completed within the due-window incur no penalties, other jobs incur either earliness or tardiness penalties. The maintenance activity can be scheduled immediately after any one of the completed jobs. We assume that once the maintenance activity has been completed, the machine efficiency will be improved and the machine maintenance duration depends on its starting time. The objective is to find the optimal maintenance position as well as the optimal size and location of the due-window, and the sequence of jobs to minimize a cost function based on the window size and window location and the earliness and tardiness of the jobs. We propose a polynomial time algorithm to solve the problem optimally.

Optimal Common Due-Window Assignment with Linear Deteriorating and Resource-Dependent Processing Times under a Deteriorating Maintenance Activitiy

2013 ◽  
Vol 344 ◽  
pp. 290-293
Author(s):  
Cheng Xin Luo
Keyword(s):  
Window Size ◽  
Single Machine Scheduling ◽  
Scheduling Problems ◽  
Maintenance Activity ◽  
Machine Maintenance ◽  
Processing Times ◽  
Deteriorating Maintenance ◽  
Due Window ◽  
Resource Allocation Scheme ◽  
Due Window Assignment

This paper studies single-machine scheduling problems with a due-window assignment under a deteriorating maintenance and time-and-resource-dependent processing times. Jobs completed within the due-window incur no penalties, other jobs incur either earliness or tardiness penalties. The maintenance activity can be scheduled immediately after any of the completed jobs. We assume that once the maintenance activity has been completed, the machine efficiency will be improved and the machine maintenance duration depends on its starting time. The objective is to find the maintenance position, the size and location of the due-window, and the sequence of jobs and resource allocation scheme to minimize a cost function based on the window size and location and the earliness and tardiness of jobs and resource. We propose an algorithm to solve the problem.

Due-Window Assignment for a Single Machine Scheduling with Both Deterioration and Positional Effects

2015 ◽  
Vol 32 (03) ◽  
pp. 1550014 ◽  
Author(s):  
Chuanli Zhao ◽  
Hengyong Tang
Keyword(s):  
Single Machine ◽  
Polynomial Solution ◽  
Window Size ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Due Windows ◽  
Due Window ◽  
Positional Effects ◽  
Due Window Assignment ◽  
Flow Allowance

This paper considers a single machine scheduling with both deterioration and positional effects and due-window assignment problem. The job-dependent due-windows are obtained by the common flow allowance criterion. The objective is to schedule the jobs, and the due-windows so as to minimize the sum of earliness, tardiness, and due-window starting time and due-window size costs. We introduce a polynomial solution for the problem. Furthermore, we show how the solutions can be extended to the setting with job rejection.

SINGLE MACHINE SCHEDULING WITH A LEARNING EFFECT AND A RATE-MODIFYING ACTIVITY

2011 ◽  
Vol 28 (04) ◽  
pp. 511-521 ◽  
Author(s):  
CHUANLI ZHAO ◽  
HENGYONG TANG
Keyword(s):  
Single Machine ◽  
Processing Time ◽  
Learning Effect ◽  
Window Size ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Scheduling Problems ◽  
Polynomial Time Algorithms ◽  
Due Window ◽  
Machine Scheduling Problems

In the paper, single machine scheduling problems with a learning effect and a rate-modifying activity are considered. Under the learning effect, the processing time of a job is a decreasing function of its position in the sequence. The rate-modifying activity is an event that can change the speed of the machine, and hence the processing time of jobs after the activity. The following objective functions are considered: the makespan, the total earliness, tardiness and completion time penalty, and the total earliness, tardiness, due-window starting time and due-window size penalty. Polynomial time algorithms are proposed to optimally solve the problems.

Single Machine Due Window Assignment and Scheduling with an Optional Maintenance Activity

2014 ◽  
Vol 1006-1007 ◽  
pp. 437-440
Author(s):  
Wei Xuan Li ◽  
Chuan Li Zhao
Keyword(s):  
Single Machine ◽  
Window Size ◽  
Aging Effect ◽  
Single Machine Scheduling ◽  
Maintenance Activity ◽  
Starting Time ◽  
Actual Duration ◽  
Window Position ◽  
Due Window ◽  
Due Window Assignment

This paper considers single machine scheduling with general position-dependent and job-dependent aging effect. All jobs share a common due window, and an optional maintenance activity (OMA) is taken into consideration. The processing time of a job is a non-decreasing function in its position. Such category of maintenance activity is called the OMA since one can determine the position and the actual duration of it. The objective is to determine the optimal due window position, the optimal location and duration of the OMA, and the optimal job sequence so as to minimize the total of earliness, tardiness, due window starting time, due window size, and the OMA duration related costs. We show that the considered problem can be solved in polynomial time.

Single-Machine Due-Window Assignment Scheduling with Resource Allocation and Generalized Earliness/Tardiness Penalties

2021 ◽  
pp. 2150041
Author(s):  
Yu Tian
Keyword(s):  
Resource Allocation ◽  
Single Machine ◽  
Window Size ◽  
Single Machine Scheduling ◽  
Start Time ◽  
Optimal Sequence ◽  
Optimal Resource ◽  
Due Window ◽  
Weighted Earliness ◽  
Due Window Assignment

In this study, the due-window assignment single-machine scheduling problem with resource allocation is considered, where the processing time of a job is controllable as a linear or convex function of amount of resource allocated to the job. Under common due-window and slack due-window assignments, our goal is to determine the optimal sequence of all jobs, the due-window start time, due-window size, and optimal resource allocation such that a sum of the scheduling cost (including weighted earliness/tardiness penalty, weighted number of early and tardy job, weighted due-window start time, and due-window size) and resource consumption cost is minimized. We analyze the optimality properties, and provide polynomial time solutions to solve the problem under four versions of due-window assignment and resource allocation function.

A Bicriteria Approach for Single Machine Scheduling with Resource Allocation, Learning Effect and a Deteriorating Maintenance Activity

2017 ◽  
Vol 34 (04) ◽  
pp. 1750011 ◽  
Author(s):  
Zhusong Liu ◽  
Zhenyou Wang ◽  
Yuan-Yuan Lu
Keyword(s):  
Resource Allocation ◽  
Single Machine ◽  
Learning Effect ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Maintenance Activity ◽  
Optimal Resource ◽  
Deteriorating Maintenance ◽  
Polynomially Solvable ◽  
Completion Times

This paper considers the single machine scheduling with learning effect, resource allocation and deteriorating maintenance activity simultaneously. For the convex resource allocation consumption function, we provide a bicriteria analysis where the first (schedule) criterion is to minimize the total weighted sum of makespan, total completion time and total absolute differences in completion times, and the second (resource) criterion is to minimize the total weighted resource consumption. Our aim is to find the optimal resource allocations and job sequence that minimize the three different models of considering the two criterion. We show that these three models are polynomially solvable respectively.

COMMON DUE-WINDOW ASSIGNMENT AND SCHEDULING OF JOB-DEPENDENT DETERIORATING JOBS AND MULTIPLE DETERIORATING MAINTENANCE ACTIVITIES

2014 ◽  
Vol 31 (01) ◽  
pp. 1450004 ◽  
Author(s):  
XINGONG ZHANG
Keyword(s):  
Operations Management ◽  
Production Scheduling ◽  
Window Size ◽  
Deteriorating Jobs ◽  
Planning Horizon ◽  
Scheduling Problems ◽  
Deteriorating Maintenance ◽  
Due Window ◽  
Maintenance Activities ◽  
Due Window Assignment

Due-window assignment and production scheduling problems are important issues in operations management. In this paper, the problems of common due-window assignment and scheduling of job-dependent deteriorating jobs and multiple deteriorating maintenance activities simultaneously on a single-machine are investigated. We assume that the machine may be subjected to several maintenance activities during the planning horizon. However, due to the restriction of budget of maintenance, the upper bound of the maintenance frequency on the machine is assumed to be known in advance. Moreover, we assume that the duration of each maintenance activity depends on the running time of the machine. Polynomial time algorithms for the all the studied problems are provided, where the objective is to simultaneously minimize the earliness, tardiness, due-window starting time, and due-window size costs.

Scheduling with Rejection and a Deteriorating Maintenance Activity on a Single Machine

2017 ◽  
Vol 34 (02) ◽  
pp. 1750010 ◽  
Author(s):  
Shi-Sheng Li ◽  
Ren-Xia Chen
Keyword(s):  
Polynomial Time ◽  
Single Machine ◽  
Completion Time ◽  
Single Machine Scheduling ◽  
Total Weighted Completion Time ◽  
Scheduling Problems ◽  
Maintenance Activity ◽  
Polynomial Time Algorithms ◽  
Deteriorating Maintenance ◽  
The Impact

We study single-machine scheduling problems with job rejection and a deteriorating maintenance activity, where the impact of performing this activity is reflected in a reduction of the job processing times. The duration of the maintenance activity is a linear increasing function of its starting time. The aim is to determine the location of the maintenance activity and the job sequence of the accepted jobs so as to minimize scheduling cost of the accepted jobs plus total penalty of the rejected jobs. When the scheduling measures are the makespan, total completion time and combination of earliness, tardiness and due date cost, we provide polynomial time algorithms to solve these problems, respectively. When the scheduling measures are the maximum tardiness and total weighted completion time under the agreeable ratio assumption, we introduce pseudo-polynomial time algorithms to solve these [Formula: see text]-hard problems, respectively.

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