Optimization of Nurse Scheduling Problem with a Two-Stage Mathematical Programming Model_

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題名：	Optimization of Nurse Scheduling Problem with a Two-Stage Mathematical Programming Model
書刊名：	Asia Pacific Management Review
作者：	Tsai, Chang-chun／Lee, Cheng-jung
出版日期：	2010
卷期：	15:4
頁次：	頁503-516
主題關鍵詞：	International mathematical programming model；Genetic algorithm；Self-schedule；Nurse scheduling
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(3) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:3 共同引用:0 點閱:21

This paper constructs a two-stage mathematical programming model to solve the nurse scheduling problem in order to assign nurses to shifts over a scheduling period so that certain constraints (organizational and personal) are satisfied. In the first stage, the nurse optimal vacation schedules are solved by a self-schedule programming that can check for any violation of government regulations, hospital management requirements, and scheduling fairness. In the second stage, the nurse roster schedule is arranged and a Genetic Algorithm (GA) is further adopted to derive the optimal schedule. An empirical case study is performed and the results show that the proposed approach can solve the nurse scheduling problem efficiently. In addition, it can also be easily modified to suit different cases encountered in hospitals.

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期刊論文
1.	Aickelin, U., Dowsland, K.(2000)。Exploiting problem structure in a genetic algorithm approach to a nurse rostering problem。Journal of Scheduling，3;(3)，139-153。
2.	Arther, Jefferey L.、Ravindra, A.(1981)。A multiple objective nurse scheduling model。Artificial Intelligence in Engineering，13(1)，56-60。
3.	Jaumard, B.、Semet, F.、Vovor, T.(1998)。A Generalized Linear Programming Model for Nurse Scheduling。European Journal of Operational Research，107(1)，1-18。
4.	Smith, Douglas、Wiggins, A.(1977)。A computer-based nurse scheduling system。Computers and Operations Research，4(3)，195-212。
5.	Bell, P. C.、Hay, G.、Liang, Y.(1986)。A visual interactive decision support system for workforce (nurse) scheduling。INFOK，24(2)，134-145。
6.	Saxena, U.、Musa, A. A.(1984)。Scheduling Nurses Using Goal-Programming Techniques。IIE Transactions，16(3)，216-221。
7.	Ozkarahan, I.、Bailey, J. E.(1988)。Goal programming model subsystem of a flexible nurse scheduling support system。IIE Transactions，20(3)，306-316。
8.	Randhawa, S. U.、Sitompul, D.(1993)。A Heuristic-Based Computerized Nurse Scheduling System。Computers & Operations Research，20(8)，837-844。
9.	Kostreva, M. M.、Jenning, K. S. B.(1991)。Nurse Scheduling on A Microcomputer。Computer and Operation Research，18，731-739。
10.	Millar, H. H.、Kiragu, M.(1998)。Cyclic and Non-cyclic Scheduling of 12 h Shift Nurses by Network Programming。European Journal of Operational Research，104(3)，582-592。
11.	Azaiez, M. N.、Al Sharif, S. S.(2005)。A 0-1 goal programming model for nurse scheduling。Computers & Operations Research，32(3)，491-507。
12.	Miller, H. E.、Pierskalla, W. P.、Rath, G. J.(1976)。Nurse Scheduling Using Mathematical Programming。Operations Research，24(5)，857-870。
13.	Abbott, M.E.(1995)。Measuring the effects of a self-scheduling committee。Nursing Management，26;(9)，64a-64g。
14.	Bailey, J.(1985)。Integrated days off and shift personnel scheduling。Computer and Operations Research，9(4)，395-402。
15.	Bard, J.F., Purnomo, H.W.(2007)。Cyclic preference scheduling of nurses using a lagrangian-based heuristic。Journal of Scheduling，10;(1)，5-23。
16.	Beltzhoover, M.(1994)。An innovative approach for the self-scheduling。Nursing Management，25;(4)，81-82。
17.	Burke, E.K., Causmaecker, P.D., Petrovic, S., Berghe, G.V.(2006)。Meta-heuristics for handling time interval coverage constraints in nurse scheduling。Applied Artificial Intelligence，20;(9)，743-766。
18.	Cheang, B., Li, H., Lim, A., Rodrigues, B.(2003)。Nurse rostering problems-A bibliographic survey。European Journal of Operational Research，151;(3)，447-460。
19.	Dowsland, K., Thompson, J.M.(2000)。Solving a nurse scheduling problem with knapsacks。Journal of Operational Research Society，51，825-833。
20.	Ernst, A.T., Jiang, H., Krishamoorty, M., Owens, B., Sier, D.(2004)。An annotated bibliography of personnel scheduling and rostering。Annals of Operations Research，127;(1)，21-144。
21.	Sharif, M.(2000)。Multireservious systems optimization genetic algorithms: Case study。Journal of Computing in Civil Engineering，14;(4)，255-263。
22.	Warner, D. M.(1976)。Scheduling nursing personnel according to nursing preference: A mathematical programming approach。Operations Research，24(5)，842-856。
23.	Ahuja, H.、Sheppard, R.(1975)。Computerized nurse scheduling。Industrial Engineering，7(10)，24-29。
24.	Rondeau, K.V.(199)。Self-scheduling can increase job satisfaction.。Medical Laboratory Observer，22(11)，22-24。

會議論文
1.	Ender, O.(2005)。Memetic algorithms for nurse rostering. Lecture notes in computer science482-492。
2.	Kostreva, M.M., Lescyski, M.D., Passini, F.T.(1978)。The nurse scheduling decision via mixed-integer programming291-305。
3.	Meyer, aufm, Hofe, H.(2001)。Solving rostering tasks as constraint optimization2079(2001)，191-212。

圖書
1.	Dimitri, K.(2002)。A Competen t Genetic Algorithm for Solving Permutation and Scheduling。Kluwer Academic Publishers。Boston。
2.	Goldberg, D. E.(1989)。Algorithms in Search。Optimization and Mach ine Learning。MA,USA。
3.	A3.ickelin, U., Li, J.(200)。Bayesian Optimization Algorithm for Nurse Scheduling.。Scalable Optimization via Probabilistic Modeling: From Algorithms to Applications,。New York。

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