Scheduling Nurses Using Goal-Programming Techniques

Musa, A A; Saxena, Umesh

doi:10.1080/07408178408974687

Cited by 62 publications

(32 citation statements)

References 5 publications

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“…Bell et al [4] developed a mixed integer programming model with a decision support system. Arthur and Ravindran [2], [3,15,16] used goal programming models. Jaumard et al [10] presented a generalized 0-1 linear programming model for the nurse scheduling problem.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Programming Model for Scheduling of Nurses’ Labor Shifts

Yılmaz

2010

J Med Syst

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In this study, a mathematical programming model is proposed for scheduling problem of nurses' labor shifts. The developed mathematical programming model's aim is to minimize nurses' total idle waiting time during a week planning horizon. In this model, investigated constraints are as follows: (1) Maximum total working time a week for each nurse must not be exceeded. (2) After a nurse works a shift, the nurse can be assigned to another shift after two shifts at least. This constraints-set ensures resting of the nurse after the nurse works a shift. (3) Total number of nurses worked for each shift must be controlled with maximum and minimum bounds given for number of nurses for each shift. In this manner, total number of nurses worked for each shift is between maximum and minimum limit-values given for each shift. This constraint ensures flexibility to the user to determine number of nurses for each shift. (4) The decision variable that shows nurse-shift assignment pairs is 0 or 1. In this study, maximum total working time a week for a nurse, total number of nurses in a health service, maximum and minimum numbers of nurses worked a shift are user-specified parameters. In this way, this model can be adapted for the studies with different values of these parameters. In this study, the developed model is illustrated using a numerical example and then LINGO8.0 software is used to ensure the global optimum solution of the developed model. Results and also sensitivity analysis carried out for this example are presented in the study.

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Section: Introductionmentioning

confidence: 99%

A Mathematical Programming Model for Scheduling of Nurses’ Labor Shifts

Yılmaz

2010

J Med Syst

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“…Goal programming is the most commonly used method. It defines a target level for each criterion and relative priorities to achieve these goals, with the aim of finding a solution that is as close as possible to each of the objectives in the order of the priorities given (Arthur and Ravindran 1981;Musa and Saxena 1984;Ozkarahan and Bailey 1988;Ozkarahan 1991;Chen and Yeung 1993;Azaieza and Al Sharif 2005). Berrada et al (1996) proposed a tabu search approach, which considers only the most promising move to improve the objective function having the worst value at each iteration.…”

Section: Introductionmentioning

confidence: 99%

A Pareto-based search methodology for multi-objective nurse scheduling

Burke

2009

Ann Oper Res

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In this paper, we propose a search technique for nurse scheduling, which deals with it as a multi-objective problem. For each nurse, we first randomly generate a set of legal shift patterns which satisfy all shift-related hard constraints. We then employ an adaptive heuristic to quickly find a solution with the least number of violations on the coverage-related hard constraint by assigning one of the available shift patterns of each nurse. Next, we apply a coverage repairing procedure to make the resulting solution feasible, by adding/removing any under-covered/over-covered shifts. Finally, to satisfy the soft constraints (or preferences), we present a simulated annealing based search method with the following two options: one with a weighted-sum evaluation function which encourages moves towards users' predefined preferences, and another one with a domination-based evaluation function which encourages moves towards a more diversified approximated Pareto set. Computational results demonstrate that the proposed technique is applicable to modern hospital environments

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“…Arthur & Ravidran [9] limits the scope with small set of constraints and restricts the problem dimensions with the size of nurses is 4. Musa & Saxena [15] have used a 0-1 goal programming that applied to one unit of a hospital with the considerations of the hospital policies and nurses' preferences. However, the complexity of the problem is rather low with a two week planning period and just one single shift.…”

Section: Introductionmentioning

confidence: 99%

A Cyclical Nurse Schedule Using Goal Programming

et al. 2011

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Abstract. Scheduling is a very tedious task in organizations where duty is around the clock. Constructing timetable for nurses in hospital is one of the challenging jobs for the head nurse or nurse manager. It requires a lot of time to spend for generating a good and fair timetable. Thus, in this study, we propose a cyclical nurse scheduling model using a 0-1 goal programming that would help the head nurse or nurse manager to have less effort on building new schedules periodically. The proposed model satisfies the stated hospital's policies and the nurses' preferences. The result obtained from this model gives an optimal solution where all goals are achieved. The model also provides an unbiased way of scheduling the nurses and thus leads to an overall higher satisfaction and fairness to the nurses and the hospital management.

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Scheduling Nurses Using Goal-Programming Techniques

Cited by 62 publications

References 5 publications

A Mathematical Programming Model for Scheduling of Nurses’ Labor Shifts

A Mathematical Programming Model for Scheduling of Nurses’ Labor Shifts

A Pareto-based search methodology for multi-objective nurse scheduling

A Cyclical Nurse Schedule Using Goal Programming

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