×

A mathematical model for the management of a service center. (English) Zbl 1219.90081

Summary: We propose a mathematical model to manage a service center (SC) which is based on a system of ordinary differential equations. By resorting to this model, the manager of the SC can design planning strategies to satisfy customer orders, under strict deadlines and human resource constraints. After describing the model, we introduce criteria which optimize the processing time and supply a more accurate description of working behavior. Finally, we conclude presenting some numerical simulations which demonstrate the usefulness of the proposed model to reach correct decisions in managing a SC.

MSC:

90B50 Management decision making, including multiple objectives
34A34 Nonlinear ordinary differential equations and systems
93B51 Design techniques (robust design, computer-aided design, etc.)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Potts, C. N.; Strusevich, V. A., Fifty years of scheduling: a survey of milestones, Journal of the Operational Research Society, 60, S41-S68 (2009) · Zbl 1168.90311
[2] Allahverdi, A.; Ng, C. T.; Cheng, T. C.E.; Kovalyov, M. Y., A survey of scheduling problems with setup times or costs, European Journal of Operational Research, 187, 985-1032 (2008) · Zbl 1137.90474
[3] Ouelhadj, D.; Petrovic, S., A survey of dynamic scheduling in manufacturing systems, Journal of Scheduling, 12, 417-431 (2009) · Zbl 1185.90089
[4] Hoogeveen, H., Multicriteria scheduling, European Journal of Operational Research, 167, 592-623 (2005) · Zbl 1154.90458
[5] Biskup, D., A state-of-the-art review on scheduling with learning effects, European Journal of Operational Research, 188, 315-329 (2008) · Zbl 1129.90022
[6] Alfares, H. K., Survey, categorization, and comparison of recent tour scheduling literature, Annals of Operations Research, 127, 145-175 (2004) · Zbl 1087.90023
[7] Cowling, P.; Colledge, N.; Dahal, K.; Remde, S., The trade off between diversity and quality for multi-objective workforce scheduling, evolutionary computation in combinatorial optimization, Lecture Notes in Computer Science, 3906, 13-24 (2006) · Zbl 1401.90072
[8] Lambrechts, O.; Demeulemeester, E.; Herroelen, W., Proactive and reactive strategies for resource-constrained project scheduling with uncertain resource availabilities, Journal of Scheduling, 11, 121-136 (2008) · Zbl 1168.90453
[9] Drezeta, L.-E.; Billauta, J.-C., A project scheduling problem with labour constraints and time-dependent activities requirements, International Journal of Production Economics, 112, 217-225 (2008)
[10] Guldemond, T. A.; Hurink, J. L.; Paulus, J. J.; Schutten, J. M.J., Time-constrained project scheduling, Journal of Scheduling, 11, 137-148 (2008) · Zbl 1168.90442
[11] Tiwari, V.; Patterson, J. H.; Mabert, V. A., Scheduling projects with heterogeneous resources to meet time and quality objectives, European Journal of Operational Research, 193, 780-790 (2009) · Zbl 1175.90195
[12] Valls, V.; Pérez, A.; Quintanilla, S., Skilled workforce scheduling in service centres, European Journal of Operational Research, 193, 791-804 (2009) · Zbl 1180.90141
[13] Chen, C.-S.; Mestry, S.; Damodarana, P.; Wang, C., The capacity planning problem in make-to-order enterprises, Mathematical and Computer Modelling, 50, 1461-1473 (2009) · Zbl 1185.90128
[14] P. Festa, R. De Leone, E. Marchitto, A new meta-heuristic for the bus driver scheduling problem: GRASP combined with rollout, in: IEEE on Computational Intelligence in Scheduling, 2007. doi:10.1109/SCIS.2007.367689; P. Festa, R. De Leone, E. Marchitto, A new meta-heuristic for the bus driver scheduling problem: GRASP combined with rollout, in: IEEE on Computational Intelligence in Scheduling, 2007. doi:10.1109/SCIS.2007.367689 · Zbl 1233.90152
[15] De Leone, R.; Festa, P.; Marchitto, E., A bus driver scheduling problem: a new mathematical model and a GRASP approximate solution, Journal of Heuristics (2011) · Zbl 1233.90152
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.