Citation

Yuan, Z and Fugenschuh, A Home Health Care Scheduling: A Case Study. In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic, pages 555-569, 2015.

Paper


Abstract

This article provides a case study on the problem of scheduling nurses for home healthcareonaweeklybasis.Thelistofhealthcaretasksareavailablebeforethestartofthe week. Each client may require multiple visits per week, and they can specify the preferred day and the time window on each preferred day that they expect a visit. Besides, certain visits require a minimum number of days’ difference in between. The nurse may also specify the preferred working day and the maximum working hours. The optimal schedule to be foundshouldminimizethepersonnelcostaswellasthetotalworkingtime,withoutcompromisingtheservicequality.Thisproblemisacombination ofthestaffrostering problemthat consists in assigning health care tasks to a competent nurse on the appropriate day without exceeding her maximum working hours, and the vehicle routing problem with time windows,whereanoptimalrouteforeachday’sscheduledvisitsshouldbefoundrespectingthe timewindows.Weformulatethisproblemasanintegerlinearprogrammingmodelbasedon the multi-commodity network ?ow formulation, and develop also problem speci?c greedy construction and local search approaches for it. The scalability of different approaches are studied,andareal-worldinstanceisusedforvalidatingourproposedapproach.Anestimate ofatleast10%costreductionpotentialisobservedcomparingwiththecurrentmanualplan.


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Bibtex

@INPROCEEDINGS{2015-555-569-P, author = {Z. Yuan and A. Fugenschuh},
title = {Home Health Care Scheduling: A Case Study},
booktitle = {In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic},
year = {2015},
editor = {Z. Hanzalek and G. Kendall and B. McCollum and P. Sucha},
pages = {555--569},
note = {Paper},
abstract = { This article provides a case study on the problem of scheduling nurses for home healthcareonaweeklybasis.Thelistofhealthcaretasksareavailablebeforethestartofthe week. Each client may require multiple visits per week, and they can specify the preferred day and the time window on each preferred day that they expect a visit. Besides, certain visits require a minimum number of days’ difference in between. The nurse may also specify the preferred working day and the maximum working hours. The optimal schedule to be foundshouldminimizethepersonnelcostaswellasthetotalworkingtime,withoutcompromisingtheservicequality.Thisproblemisacombination ofthestaffrostering problemthat consists in assigning health care tasks to a competent nurse on the appropriate day without exceeding her maximum working hours, and the vehicle routing problem with time windows,whereanoptimalrouteforeachday’sscheduledvisitsshouldbefoundrespectingthe timewindows.Weformulatethisproblemasanintegerlinearprogrammingmodelbasedon the multi-commodity network ?ow formulation, and develop also problem speci?c greedy construction and local search approaches for it. The scalability of different approaches are studied,andareal-worldinstanceisusedforvalidatingourproposedapproach.Anestimate ofatleast10%costreductionpotentialisobservedcomparingwiththecurrentmanualplan.},
owner = {Graham},
timestamp = {2017.01.16},
webpdf = {2015-555-569-P.pdf} }