Abstract
An effective spare part supply system planning is essential to achieve a high capital asset availability. We investigate the design problem of a repair shop in a single echelon repairable multi-item spare parts supply system. The repair shop usually consists of several servers with different skill sets. Once a failure occurs in the system, the failed part is queued to be served by a suitable server that has the required skill. We model the repair shop as a collection of independent sub-systems, where each sub-system is responsible for repairing certain types of failed parts. The procedure of partitioning a repair shop into sub-systems is known as pooling, and the repair shop formed by the union of independent sub-systems is called a pooled repair shop. Identifying the best partition is a challenging combinatorial optimization problem. In this direction, we formulate the problem as a stochastic nonlinear integer programming model and propose a sequential solution heuristic to find the best-pooled design by considering inventory allocation and capacity level designation of the repair shop. We conduct numerical experiments to quantify the value of the pooled repair shop designs. Our analysis shows that pooled designs can yield cost reductions by 25% to 45% compared to full flexible and dedicated designs. The proposed heuristic also achieves a lower average total system cost than that generated by a Genetic Algorithm (GA)-based solution algorithm.
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IATA’s Maintenance Cost Task Force: Airline maintenance cost: executive commentary (2015). https://www.iata.org/whatwedo/workgroups/Documents/MCTF/AMC-Exec-Comment-FY14.pdf. Accessed 30 Aug 2017
Keizer, M.C.O., Teunter, R.H., Veldman, J.: Clustering condition-based maintenance for systems with redundancy and economic dependencies. Eur. J. Oper. Res. 251(2), 531–540 (2016)
López-Santana, E., Akhavan-Tabatabaei, R., Dieulle, L., Labadie, N., Medaglia, A.L.: On the combined maintenance and routing optimization problem. Reliab. Eng. Syst. Saf. 145, 199–214 (2016)
Duffuaa, S.O.: Mathematical models in maintenance planning and scheduling. In: Ben-Daya, M., Duffuaa, S.O., Raouf, A. (eds.) Maintenance, Modeling and Optimization, pp. 39–53. Springer, Boston (2000). https://doi.org/10.1007/978-1-4615-4329-9_2
Sherbrooke, C.C.: Metric: a multi-echelon technique for recoverable item control. Oper. Res. 16(1), 122–141 (1968)
Sherbrooke, C.C.: Optimal Inventory Modeling of Systems: Multi-echelon Techniques, vol. 72. Springer, New York (2004). https://doi.org/10.1007/b109856
Basten, R., Van Houtum, G.: System-oriented inventory models for spare parts. Surv. Oper. Res. Manag. Sci. 19(1), 34–55 (2014)
Arts, J.: A multi-item approach to repairable stocking and expediting in a fluctuating demand environment. Eur. J. Oper. Res. 256(1), 102–115 (2017)
Diaz, A., Fu, M.C.: Models for multi-echelon repairable item inventory systems with limited repair capacity. Eur. J. Oper. Res. 97(3), 480–492 (1997)
Rappold, J.A., Van Roo, B.D.: Designing multi-echelon service parts networks with finite repair capacity. Eur. J. Oper. Res. 199(3), 781–792 (2009)
Sleptchenko, A., Van der Heijden, M., Van Harten, A.: Trade-off between inventory and repair capacity in spare part networks. J. Oper. Res. Soc. 54(3), 263–272 (2003)
Srivathsan, S., Viswanathan, S.: A queueing-based optimization model for planning inventory of repaired components in a service center. Comput. Ind. Eng. 106, 373–385 (2017)
Sleptchenko, A., Van der Heijden, M., Van Harten, A.: Effects of finite repair capacity in multi-echelon, multi-indenture service part supply systems. Int. J. Prod. Econ. 79(3), 209–230 (2002)
de Smidt-Destombes, K.S., van der Heijden, M.C., van Harten, A.: Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-n systems. Int. J. Prod. Econ. 118(1), 260–268 (2009)
de Smidt-Destombes, K.S., van der Heijden, M.C., van Harten, A.: Availability of k-out-of-n systems under block replacement sharing limited spares and repair capacity. Int. J. Prod. Econ. 107(2), 404–421 (2007)
de Smidt-Destombes, K.S., van der Heijden, M.C., Van Harten, A.: On the interaction between maintenance, spare part inventories and repair capacity for a k-out-of-n system with wear-out. Eur. J. Oper. Res. 174(1), 182–200 (2006)
de Smidt-Destombes, K.S., van der Heijden, M.C., van Harten, A.: On the availability of a k-out-of-n system given limited spares and repair capacity under a condition based maintenance strategy. Reliab. Eng. Syst. Saf. 83(3), 287–300 (2004)
Lau, H.C., Song, H.: Multi-echelon repairable item inventory system with limited repair capacity under nonstationary demands. Int. J. Inventory Res. 1(1), 67–92 (2008)
Yoon, H., Jung, S., Lee, S.: The effect analysis of multi-echelon inventory models considering demand rate uncertainty and limited maintenance capacity. Int. J. Oper. Res. 24(1), 38–58 (2015)
Tracht, K., Funke, L., Schneider, D.: Varying repair capacity in a repairable item system. Procedia CIRP 17, 446–450 (2014)
Driessen, M.A., Rustenburg, J.W., van Houtum, G.J., Wiers, V.C.S.: Connecting inventory and repair shop control for repairable items. In: Zijm, H., Klumpp, M., Clausen, U., Hompel, M. (eds.) Logistics and Supply Chain Innovation, pp. 199–221. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-22288-2_12
Jordan, W.C., Graves, S.C.: Principles on the benefits of manufacturing process flexibility. Manage. Sci. 41(4), 577–594 (1995)
Jordan, W.C., Inman, R.R., Blumenfeld, D.E.: Chained cross-training of workers for robust performance. IIE Trans. 36(10), 953–967 (2004)
Bassamboo, A., Randhawa, R.S., Mieghem, J.A.V.: A little flexibility is all you need: on the asymptotic value of flexible capacity in parallel queuing systems. Oper. Res. 60(6), 1423–1435 (2012)
Brusco, M.J., Johns, T.R.: Staffing a multiskilled workforce with varying levels of productivity: an analysis of cross-training policies*. Decis. Sci. 29(2), 499–515 (1998)
Brusco, M.J.: An exact algorithm for a workforce allocation problem with application to an analysis of cross-training policies. IIE Trans. 40(5), 495–508 (2008)
Chou, M.C., Chua, G.A., Teo, C.P., Zheng, H.: Design for process flexibility: efficiency of the long chain and sparse structure. Oper. Res. 58(1), 43–58 (2010)
Pinker, E.J., Shumsky, R.A.: The efficiency-quality trade-off of cross-trained workers. Manuf. Serv. Oper. Manag. 2(1), 32–48 (2000)
Tsitsiklis, J.N., Xu, K., et al.: On the power of (even a little) resource pooling. Stoch. Syst. 2(1), 1–66 (2012)
Andradóttir, S., Ayhan, H., Down, D.G.: Design principles for flexible systems. Prod. Oper. Manag. 22(5), 1144–1156 (2013)
Qin, R., Nembhard, D.A., Barnes II, W.L.: Workforce flexibility in operations management. Surv. Oper. Res. Manag. Sci. 20(1), 19–33 (2015)
Hopp, W.J., Tekin, E., Van Oyen, M.P.: Benefits of skill chaining in serial production lines with cross-trained workers. Manage. Sci. 50(1), 83–98 (2004)
Liu, C., Yang, N., Li, W., Lian, J., Evans, S., Yin, Y.: Training and assignment of multi-skilled workers for implementing seru production systems. Int. J. Adv. Manuf. Technol. 69(5–8), 937–959 (2013)
Sayın, S., Karabatı, S.: Assigning cross-trained workers to departments: a two-stage optimization model to maximize utility and skill improvement. Eur. J. Oper. Res. 176(3), 1643–1658 (2007)
Hopp, W.J., Oyen, M.P.: Agile workforce evaluation: a framework for cross-training and coordination. IIE Trans. 36(10), 919–940 (2004)
Li, Q., Gong, J., Fung, R.Y., Tang, J.: Multi-objective optimal cross-training configuration models for an assembly cell using non-dominated sorting genetic algorithm-II. Int. J. Comput. Integr. Manuf. 25(11), 981–995 (2012)
Inman, R.R., Jordan, W.C., Blumenfeld, D.E.: Chained cross-training of assembly line workers. Int. J. Prod. Res. 42(10), 1899–1910 (2004)
Tiwari, M., Roy, D.: Application of an evolutionary fuzzy system for the estimation of workforce deployment and cross-training in an assembly environment. Int. J. Prod. Res. 40(18), 4651–4674 (2002)
Vairaktarakis, G., Winch, J.K.: Worker cross-training in paced assembly lines. Manuf. Serv. Oper. Manag. 1(2), 112–131 (1999)
Slomp, J., Bokhorst, J.A., Molleman, E.: Cross-training in a cellular manufacturing environment. Comput. Ind. Eng. 48(3), 609–624 (2005)
Iravani, S.M., Van Oyen, M.P., Sims, K.T.: Structural flexibility: a new perspective on the design of manufacturing and service operations. Manage. Sci. 51(2), 151–166 (2005)
Bokhorst, J.A., Slomp, J., Molleman, E.: Development and evaluation of cross-training policies for manufacturing teams. IIE Trans. 36(10), 969–984 (2004)
Schneider, M., Grahl, J., Francas, D., Vigo, D.: A problem-adjusted genetic algorithm for flexibility design. Int. J. Prod. Econ. 141(1), 56–65 (2013)
Wallace, R.B., Whitt, W.: A staffing algorithm for call centers with skill-based routing. Manuf. Serv. Oper. Manag. 7(4), 276–294 (2005)
Ahghari, M., Balcioĝlu, B.: Benefits of cross-training in a skill-based routing contact center with priority queues and impatient customers. IIE Trans. 41(6), 524–536 (2009)
Legros, B., Jouini, O., Dallery, Y.: A flexible architecture for call centers with skill-based routing. Int. J. Prod. Econ. 159, 192–207 (2015)
Tekin, E., Hopp, W.J., Van Oyen, M.P.: Pooling strategies for call center agent cross-training. IIE Trans. 41(6), 546–561 (2009)
Harper, P.R., Powell, N., Williams, J.E.: Modelling the size and skill-mix of hospital nursing teams. J. Oper. Res. Soc. 61(5), 768–779 (2010)
Li, L.L.X., King, B.E.: A healthcare staff decision model considering the effects of staff cross-training. Health Care Manag. Sci. 2(1), 53–61 (1999)
Simmons, D.: The effect of non-linear delay costs on workforce mix. J. Oper. Res. Soc. 64(11), 1622–1629 (2013)
Agnihothri, S.R., Mishra, A.K.: Cross-training decisions in field services with three job types and server-job mismatch. Decis. Sci. 35(2), 239–257 (2004)
Agnihothri, S., Mishra, A., Simmons, D.: Workforce cross-training decisions in field service systems with two job types. J. Oper. Res. Soc. 54, 410–418 (2003)
Colen, P., Lambrecht, M.: Cross-training policies in field services. Int. J. Prod. Econ. 138(1), 76–88 (2012)
Iravani, S.M., Krishnamurthy, V.: Workforce agility in repair and maintenance environments. Manuf. Serv. Oper. Manag. 9(2), 168–184 (2007)
De Bruecker, P., Van den Bergh, J., Beliën, J., Demeulemeester, E.: Workforce planning incorporating skills: state of the art. Eur. J. Oper. Res. 243(1), 1–16 (2015)
Sleptchenko, A., Turan, H.H., Pokharel, S., ElMekkawy, T.Y.: Cross training policies for repair shops with spare part inventories. Int. J. Prod. Econ. (2018). https://doi.org/10.1016/j.ijpe.2017.12.018
Turan, H.H., Pokharel, S., Sleptchenko, A., ElMekkawy, T.Y.: Integrated optimization for stock levels and cross-training schemes with simulation-based genetic algorithm. In: International Conference on Computational Science and Computational Intelligence, pp. 1158–1163 (2016)
Sleptchenko, A., Elmekkawy, T.Y., Turan, H.H., Pokharel, S.: Simulation based particle swarm optimization of cross-training policies in spare parts supply systems. In: The Ninth International Conference on Advanced Computational Intelligence (ICACI 2017), pp. 60–65 (2017)
Al-Khatib, M., Turan, H.H., Sleptchenko, A.: Optimal skill assignment with modular architecture in spare parts supply systems. In: 4th International Conference on Industrial Engineering and Applications (ICIEA), pp. 136–140. IEEE (2017)
Turan, H.H., Sleptchenko, A., Pokharel, S., ElMekkawy, T.Y.: A clustering-based repair shop design for repairable spare part supply systems. Comput. Ind. Eng. 125, 232–244 (2018)
Turan, H.H., Pokharel, S., Sleptchenko, A., ElMekkawy, T.Y., Al-Khatib, M.: A pooling strategy for flexible repair shop designs. In: Proceedings of the 7th International Conference on Operations Research and Enterprise Systems, pp. 272–278 (2018)
Van Harten, A., Sleptchenko, A.: On Markovian multi-class, multi-server queueing. Queueing Syst. 43(4), 307–328 (2003)
Altiok, T.: On the phase-type approximations of general distributions. IIE Trans. 17(2), 110–116 (1985)
Van Der Heijden, M., Van Harten, A., Sleptchenko, A.: Approximations for Markovian multi-class queues with preemptive priorities. Oper. Res. Lett. 32(3), 273–282 (2004)
Acknowledgement
This research was made possible by the NPRP award [NPRP 7-308-2-128] from the Qatar National Research Fund (a member of The Qatar Foundation). The statements made herein are solely the responsibility of the author[s].
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Turan, H.H., Pokharel, S., ElMekkawy, T.Y., Sleptchenko, A., Al-Khatib, M. (2019). An Efficient Heuristic for Pooled Repair Shop Designs. In: Parlier, G., Liberatore, F., Demange, M. (eds) Operations Research and Enterprise Systems. ICORES 2018. Communications in Computer and Information Science, vol 966. Springer, Cham. https://doi.org/10.1007/978-3-030-16035-7_6
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