主管:中国科学院
主办:中国优选法统筹法与经济数学研究会
   中国科学院科技战略咨询研究院
Articles

Stochastic Scheduling of Product Service System Orders with Due Date Assignment

Expand
  • 1. School of Economics and Business Administration, Chongqing University, Chongqing 400044, China;
    2. Chongqing Key Laboratory of Logistics at Chongqing University, Chongqing University, Chongqing 400030, China;
    3. School of Management, Southwest University of Political Science & Law, Chongqing 401120, China

Received date: 2017-05-18

  Revised date: 2017-12-29

  Online published: 2019-04-24

Abstract

With the market competition growing ever more tense and the profit space of the product compressing continuously,the traditional manufacturing industry begins to transform from product-oriented manufacturing to service-oriented manufacturing. Instead of selling products only, the service-oriented manufacturing (SOM) firms offers the customers the integrated solutions of products and services which are called product service systems (PSSs). In order to delivery PSS orders on time and to reduce operating costs incurred by inventory and tardiness, the SOM firms need to assign reasonable due dates to the orders and make effective scheduling plans. However, the production times and service times of PSS orders may be stochastic due to customized demand, which adds more difficulty and complexity to the due date assignment in sequencing PSS orders. Therefore, how to jointly schedule PSS orders and assign due dates in a stochastic environment is a significant problem for SOM firms.
In this paper, the stochastic scheduling problem of PSS orders with due date assignment is addressed for a SOM firm consisting of one single manufacturing plant and multiple regional service centers. It is assumed that the production times and service times are independent and normally distributed with the mean and variance provided. The objective is to minimize the total expected earliness, tardiness and due date assignment costs. To solve this problem, the mean value theorem of integrals is applied to obtain an approximate objective function of the original one and the optimality conditions are analyzed. A sequencing rule called the weighted shortest average production time is presented, based on which three heuristics are proposed. In the numerical experiments, the sensitivity analysis is carried out and the effectiveness and robustness of the proposed heuristics is illustrated.
The results indicate that the unit earliness cost deviation has little influence on the total expected costs, hence there is no need for the dispatchers to ensure the accuracy of the unit inventory cost. Whereas the unit due date assignment cost has a significant impact on the results of the scheduling decision, which suggests that the dispatchers should pay great attention to the accuracy of this cost. Our research sheds light on reducing the operating costs and increasing the service levels of the SOM firms, since it can assist the dispatchers of SOM firms in scheduling PSS orders and setting due dates effectively.

Cite this article

ZHANG Yang, DAN Bin, GAO Hua-Li . Stochastic Scheduling of Product Service System Orders with Due Date Assignment[J]. Chinese Journal of Management Science, 2019 , 27(2) : 93 -106 . DOI: 10.16381/j.cnki.issn1003-207x.2019.02.010

References

[1] 中国政府网. 三部门关于印发《发展服务型制造专项行动指南》的通知[EB/OL]. http://www.gov.cn/xinwen/2016-07/28/content_5095552.htm, 2016.

[2] Mont O K. Clarifying the concept of product-service system[J]. Journal of Cleaner Production, 2002, 10(3):237-245.

[3] Slotnick S A, Sobel M J. Manufacturing lead-time rules:Customer retention versus tardiness costs[J]. European Journal of Operational Research, 2005, 163(3):825-856.

[4] Tsay A A, Agrawal N. Channel dynamics under price and service competition[J]. Manufacturing & Service Operations Management, 2000, 2(4):372-391.

[5] Lee S, Yoo S, Kim D. When is servitization a profitable competitive strategy?[J]. International Journal of Production Economics, 2016, 173:43-53.

[6] Xie Wenming, Jiang Zhibin, Zhao Yingxue, et al. Contract design for cooperative product service system with information asymmetry[J]. International Journal of Production Research, 2014, 52(6):1658-1680.

[7] 刘宇熹, 谢家平. 再制造下租赁产品服务系统节约共享契约研究[J]. 中国管理科学, 2016, 24(3):99-108.

[8] Xie Wenming, Jiang Zhibin, Zhao Yingxue, et al. Capacity planning and allocation with multi-channel distribution[J]. International Journal of Production Economics, 2014, 147(1):108-116.

[9] Li Gang, Huang Fengfeng, Cheng T C E, et al. Make-or-buy service capacity decision in a supply chain providing after-sales service[J]. European Journal of Operational Research, 2014, 239(2):377-388.

[10] 姚树俊, 陈菊红. 考虑渠道权利结构的产品服务能力竞争机制研究——制造商服务视角[J]. 中国管理科学, 2014, 22(7):107-115.

[11] Li Na, Jiang Zhibin. Modeling and optimization of a product-service system with additional service capacity and impatient customers[J]. Computers & Operations Research, 2013, 40(8):1923-1937.

[12] Wang Kangzhou, Jiang Zhibin, Li Na, et al. Optimal production and admission control for a stochastic SOM system with demands for product and PSS[J]. International Journal of Production Research, 2013, 51(23-24):7270-7288.

[13] Gordon V, Proth J M, Chu C. A survey of the state-of-the-art of common due date assignment and scheduling research[J]. European Journal of Operational Research, 2002, 139(1):1-25.

[14] Saghafian S. Flowshop-scheduling problems with makespan criterion:A review[J]. International Journal of Production Research, 2005, 43(14):2895-2929.

[15] Ribas I, Leisten R, Framinan J M. Review and classification of hybrid flow shop scheduling problems from a production system and a solutions procedure perspective[J]. Computers & Operations Research, 2010, 37(8):1439-1454.

[16] Shahidehpour M, Marwali M. Maintenance scheduling in restructured power systems[M]. New York:Springer US, 2000.

[17] Kaandorp G C, Koole G. Optimal outpatient appointment scheduling[J]. Health Care Management Science, 2007, 10(3):217-229.

[18] Garcia J M, Lozano S. Production and delivery scheduling problem with time windows[J]. Computers & Industrial Engineering, 2005, 48(4):733-742.

[19] Li K, Ganesan V K, Sivakumar A I. Scheduling of single stage assembly with air transportation in a consumer electronic supply chain[J]. Computers & Industrial Engineering, 2006, 51(2):264-278.

[20] Low C, Li R, Chang C. Integrated scheduling of production and delivery with time windows[J]. International Journal of Production Research, 2013, 51(3):897-909.

[21] 马士华, 吕飞. 基于Supply-Hub的生产与配送协同模式研究[J]. 中国管理科学, 2014, 22(6):50-60.

[22] Shabtay D, Steiner G. Optimal due date assignment and resource allocation to minimize the weighted number of tardy jobs on a single machine[J]. M&Som-Manufacturing & Service Operations Management, 2007, 9(3):332-350.

[23] Grimmett G, Stirzaker D. Probability and random processes[M]. Third Edition. New York:Oxford University Press, 2001.

[24] Baker K R. Minimizing earliness and tardiness costs in stochastic scheduling[J]. European Journal of Operational Research, 2014, 236(2):445-452.
Outlines

/