ÖZEL KISITLI HEMŞİRE ÇİZELGELEME PROBLEMİ: HEDEF PROGRAMLAMA YAKLAŞIMI

Günümüzde birçok sağlık kuruluşu çalıştırdığı her bir personelin istek ve önerilerini dikkate alarak daha iyi bir çalışma ortamı sağlamak istemektedir. Bu istek ve önerileri sağlarken de verilen hizmetin aksatılmadan yapılması gerekmektedir. Bu çalışmada da bir hastanede çalışan hemşirelerin özel izin istekleri dikkate alınarak aylık çalışma planlarının en iyi şekilde yapılması için bir hedef programlama modeli geliştirilmiştir. Geliştirilen modelde hemşirelerin çalışma günleri mümkün olduğu kadar dengeli bir şekilde dağıtılmaya çalışılmıştır. Oluşturulan matematiksel model ILOG Cplex Optimization programı ile çözülmüştür.

NURSE SCHEDULING PROBLEM WITH SPECIAL CONSTRAINTS: GOAL PROGRAMMING APPROACH

Nowadays, many healthcare organizations want to provide a better working environment by taking into consideration the request and recommendation of each staff member. While providing this request and the recommendation, the service should be done without interruption. In this study, a goal programming model was developed to optimize the monthly work plans, taking into consideration the special permission requests of nurses working in a hospital. In the developed model, the working days of the nurses were tried to be distributed as balanced as possible. The generated mathematical model is solved with ILOG Cplex Optimization program.

___

  • AGYEI, Wallace; William OBENG-DENTEH and Emmanuel A. ANDAAM; (2015), “Modeling Nurse Scheduling Problem Using 0-1 Goal Programming: A Case Study of Tafo Government Hospital, Kumasi-Ghana”, International Journal of Scientific & Technology Research, 4, pp. 5-10.
  • ATMACA, Ediz; Ceydanur PEHLİVAN; Begüm C. AYDOĞDU ve Mehmet YAKICI; (2012), “Hemşire Çizelgeleme Problemi ve Uygulaması”, Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 28(4), ss. 351-358.
  • AZAIEZ, M. Naceur and S. Shaza AL SHARIF; (2005), “A 0-1 Goal Programming Model for Nurse Scheduling”, Computers & Operations Research, 32(3), pp. 491-507.
  • BAĞ, Nurgül; N. Merve ÖZDEMİR ve Tamer EREN; (2012), “0-1 Hedef Programlama ve ANP Yöntemi ile Hemşire Çizelgeleme Problemi Çözümü”, International Journal of Engineering Research and Development, 4(1), ss. 2-6.
  • BEKTUR, Gülçin ve Servet HASGÜL; (2013), “Kıdem Seviyelerine Göre İşgücü Çizelgeleme Problemi: Hizmet Sektöründe Bir Uygulama”, Journal of Economics & Administrative Sciences/Afyon Kocatepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 15(2), ss. 385-402.
  • BRUNNER, Jens O; Jonathan F. BARD and Rainer KOLISCH; (2009), “Flexible Shift Scheduling of Physicians”, Health Care Management Science, 12(3), pp. 285-305.
  • BURKE, Edmund K; Jingpeng LI and Rong QU; (2010), “A Hybrid Model of Integer Programming and Variable Neighbourhood Search for Highly-Constrained Nurse Rostering Problems”, European Journal of Operational Research, 203(2), pp. 484-493.
  • CHARNES, Abraham; William W. COOPER and Robert FERGUSON; (1955), “Optimal Estimation of Executive Compensation by Linear Programming”, Management Science, 1, pp. 138-151.
  • CHARNES, Abraham and William W. COOPER; (1977), “Goal Programming and Multiple Objective Optimizations”, European Journal of Operational Research, I, pp. 39-54.
  • CHU, Sydney CK; (2007), “Generating, Scheduling and Rostering of Shift Crew-Duties: Applications at the Hong Kong International Airport”, European Journal of Operational Research, 177, pp. 1764-1778.
  • GÜNGÖR, İbrahim; (2002), “Hemşire Görevlendirme ve Çizelgeleme Sorununa Bir Model Önerisi”, Süleyman Demirel Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 7(2), ss. 77-94.
  • JAFARI, Hamed; Shirin BATENI; Parinaz DANESHVAR and Hamed MAHDİOUN; (2016), “Fuzzy Mathematical Modeling Approach for the Nurse Scheduling Problem: A Case Study”, International Journal of Fuzzy Systems, 18(2), pp. 320-332.
  • JENAL, Ruzzakiah; WAN Rosmanira ISMAIL; Liong Choong YEUN and Ahmed OUGHALİME; (2011), “ A Cyclical Nurse Schedule Using Goal Programming”, Journal of Mathematical and Fundamental Sciences, 43(3), pp. 151-164.
  • LIN, Chun-Cheng; Jia-Rong KANG and Tzu-Hsuan HSU; (2015), “A Memetic Algorithm with Recovery Scheme for Nurse Preference Scheduling”, Journal Of Industrial and Production Engineering, 32(2), pp. 83-95.
  • LI, Jingpeng; Edmund K. BURKE; Tim CURTOIS; Sanja PETROVİC and Rong QU; (2012), “The Falling Tide Algorithm: A New Multi Objective Approach for Complex Workforce Scheduling”, Omega, 40, pp. 283-293.
  • NARLI, Müfide ve S. Noyan OĞULATA; (2008), “Hemşirelerin Çalışma Vardiyalarının Değerlendirilmesi ve Çizelgelenmesi” Çukurova Üniversitesi Fen Bilimleri Enstitüsü, 19(1), ss. 31-39.
  • MAENHOUT, Broos and Mario VANHOUCKE; (2011), “An Evolutionary Approach for the Nurse Rerostering Problem”, Computers & Operations Research, 38(10), pp. 1400-1411.
  • ÖZTÜRKOĞLU, Yücel ve Filiz ÇALIŞKAN; (2014), “Hemşire Çizelgelemesinde Esnek Vardiya Planlaması ve Hastane Uygulaması”, Dokuz Eylül Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 16(1), ss. 115-133.
  • SULAK, Harun and Mustafa BAYHAN; (2016) “A Model Suggestion and an Application for Nurse Scheduling Problem”, Journal of Research in Business, Economics and Management, 5(5), pp. 755-760.
  • THONGSANIT, Kanjana; Kanokwan KANTANGKUL and Thonphakkhaon NITHIMETHIROT; (2016), “Nurse’s Shift Balancing in Nurse Scheduling Problem”, Silpakorn U Science & Tech J, 10(1), pp. 43-48.
  • TOPALOĞLU, Şeyda; (2006), “A Multi-Objective Programming Model for Scheduling Emergency Medicine Residents”, Computers & Industrial Engineering, 51(3), pp. 375-388.
  • TOPALOĞLU, Şeyda; (2009), “A Shift Scheduling Model for Employees With Different Seniority Levels and an Application in Healthcare”, European Journal of Operational Research, 198(3), pp. 943-957.
  • TOPALOĞLU, Şeyda and Hasan SELİM; (2010), “Nurse Scheduling Using Fuzzy Modeling Approach”, Fuzzy Sets and Systems, 161(11), pp. 1543-1563.
  • VARLI, Emre ve Tamer EREN; (2016), “Vardiya Çizelgeleme Problemi ve Bir Örnek Uygulama”, International Journal Of Informatics Technologies, (Basımda).
  • VARLI, Emre; Tamer EREN; M. Abdullah GENÇER ve Suna ÇETİN; (2016), “Ankara Metrosu M1 Hattındaki Vatmanların Vardiya Saatlerinin Çizelgelenmesi”, 3. Uluslararası Raylı Sistemler Mühendisliği Sempozyumu, 13-15 Ekim, Karabük: Karabük Üniversitesi, ss. 279-285, İnternet Adresi: http://iserse16.karabuk.edu.tr/index.aspx, Erişim Tarihi: 30.12.2016.
  • VARLI, Emre ve Tamer EREN; (2017), “Hemşire Çizelgeleme Problemi ve Bir Hastanede Uygulama”, APJES, 5(1), ss. 34-40.
  • YILMAZ, Ebru; (2012), “A Mathematical Programming Model for Scheduling of Nurses’ Labor Shifts”, Journal of Medical Systems, 36(2), pp. 491-496.
  • WANG, Sheng-Pen; Yu-Kuang HSİEH; Zheng-Yun ZHUANG and Nai-Chia QU; (2014), “Solving an Outpatient Nurse Scheduling Problem by Binary Goal Programming”, Journal of Industrial and Production Engineering, 31(1), pp. 41-50.
  • WRIGHT, Daniel P.; Kurt M. BRETTHAUER and Murray J. COTE; (2006), “Reexamining the Nurse Scheduling Problem: Staffing Ratios and Nursing Shortages”, Decision Sciences, 37(1), pp. 39-70.
  • WOLFE, Harve and John P. YOUNG; (1965), “Staffing the Nursing Unit: Part II”, Nursing Research, 4 (14), pp. 299-303.