The Doctor Rostering Problem - Asser Fahrenholz

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DANMARKS TEKNISKE UNIVERSITET Resumé Institut for Informatik og Matematisk Modellering forfatter: Asser Stubbe Fahrenholz , s032651 Læge planlægnings problemet dækker over tildelingen af vagter til læger, i forhold til en række begrænsninger, som sikre de ansattes tilfredshed. Problemet modelleres først matematisk og løses dernæst heuristisk ved hjælp af to metaheuristikker, GRASP og Simuleret Udglødning. Teorien for begge heuristikke er beskrevet og begge er testet p˚a et rigtigt problem instans, s˚avel som problem instanser der tester de forskellige param- eter og effekten af mere eller mindre begrænsede problemer. En relakseret udgave af problemet løses i GAMS til optimalitet og løsningen sammenlignes med resultater fra heuristikkerne. Heuristikkerne implementeres i en software prototype, klar til brug af lægepraksisen. Test resultater indikerer at nær-optimale til optimale løsninger bliver fundet og at konstruktionsheuristikken er den dominerende faktor for kvaliteten af løsningerne.
Acknowledgements Foremost, I would like to thank my advisor, associate professor Jesper Larsen of the Department of Informatics and Mathematical Modelling at the Technical University of Denmark, for his advice and support. Always providing explanations when needed, encouraging me and helping me keep focus. I also wish to thank professor Jens Clausen, for his time and advice when my project seemed to stall and needed to make further progress. iv
Page 1 and 2: TECHNICAL UNIVERSITY OF DENMARK The
Page 3: TECHNICAL UNIVERSITY OF DENMARK Abs
Page 7 and 8: Contents vi 4.3.1 A construction he
Page 9 and 10: List of Figures 4.1 The transformat
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Page 13 and 14: Chapter 1. Introduction and problem
Page 15 and 16: Chapter 2. The Doctor Rostering Pro
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Page 27 and 28: Chapter 4. Solving the DRP 16 it in
Page 29 and 30: Chapter 4. Solving the DRP 18 4.3.1
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Chapter 7. Tests, results and discu
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Chapter 9. Conclusion 58 The three
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Appendix A. Implementation 60 27 //
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Appendix B GAMS Model This chapter
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Appendix B. GAMS Model 78 46 c(day
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Appendix B. GAMS Model 80 109 B1( f
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Appendix B. GAMS Model 82 **** REPO
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Appendix B. GAMS Model 84 B.3 The s
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Appendix B. GAMS Model 86 B.3.3 The
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Appendix C. Tests 88 C.1.1 Instance
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Appendix C. Tests 94 JST PZH HP SDA
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Appendix C. Tests 100 Cons 12 Imps
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Appendix C. Tests 102 Test 3 RCL 1
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Appendix C. Tests 116 160 140 120 1
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Bibliography 118 [10] Michael R. Ga
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The Doctor Rostering Problem - Asser Fahrenholz

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