A developed nonlinear model for the location-allocation and transportation problems in a cross-docking distribution network

• Authors: NASROLLAHI Saeid , HOSSEINI-NASAB Hasan , FAKHRZAD Mohamad Bagher , HONARVAR Mahboobeh
• Languages of publication: EN

Abstracts

EN

The paper addresses the location-allocation and transportation problems in designing a cross-docking distribution network that consists of suppliers, cross-docks, and plants. A developed mixed-integer non-linear model is proposed for a post-distribution cross-docking strategy with multiple cross-docks and products that cross-docks can be connected. The objective function is to minimise the total cost comprising the cost of established cross-docks and transportation costs. To obtain this model, first, two models are introduced and compared (basic non-linear model 1 and non-linear model 2 with the possibility of connections between cross-docks). Results indicate that the total cost is decreased when the connection between cross-docks exists. So, model 2 is more efficient and suitable than model 1. Then, consolidation of plant orders is added to model 2, and the developed model is formulated. Finally, some problems with different sizes are generated randomly and solved by GAMS software to evaluate the model accuracy.

Keywords

EN

cross-docking; location-allocation; transportation problem; mixed-integer non-linear model; consolidation

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2022
• Volume: 32
• Issue: 1
• Pages: 127-148

Contributors

author

NASROLLAHI Saeid

• Department of Industrial Engineering, Yazd University, Pazhuhesh Street, Yazd, P.O. Box 8915818411, Iran

author

HOSSEINI-NASAB Hasan

• Department of Industrial Engineering, Yazd University, Pazhuhesh Street, Yazd, P.O. Box 8915818411, Iran

author

FAKHRZAD Mohamad Bagher

• Department of Industrial Engineering, Yazd University, Pazhuhesh Street, Yazd, P.O. Box 8915818411, Iran

author

HONARVAR Mahboobeh

• Department of Industrial Engineering, Yazd University, Pazhuhesh Street, Yazd, P.O. Box 8915818411, Iran

References

• MURIANA C., A focus on the state of the art of food waste/losses issue and suggestions for future researches, Waste Manage., 2017, 68, 557–570.
• BUIJS P., VIS I.F.A., CARLO H.J., Synchronization in cross-docking networks. A research classification and framework, Eur. J. Oper. Res., 2014, 239, 593–608.
• BELLE J.V., VALCKENAERS P., CATTRYSSE D., Cross-docking. state of the art, Omega, 2012, 40, 827–846.
• LADIER A.L., ALPAN G., Cross-docking operations. Current research versus industry practice, Omega, 2016, 62, 145–162.
• PAN F., ZHOU W., FAN T., LI S., ZHANG C., Deterioration rate variation risk for sustainable cross-docking service operations, Int. J. Prod. Econ., 2020, 232, 1–37.
• AGUSTINA D., LEE C.K.M., PIPLANI R., A review. Mathematical models for cross dock planning, Int. J. Eng. Bus. Manage., 2010, 2, 47–54.
• SHEIKHOLESLAM M.N., EMAMIAN S., A review and classification of cross-docking concept, Int. J. Learn. Manage. Syst., 2016, 4, 25–33.
• BOYSEN N., FLIEDNER M., SASSETTI R.J., CONSOLO J., Cross dock scheduling. classification, literaturę review and research agenda, Omega, 2010, 38, 413–422.
• HASSANI GOODARZI A., TAVAKKOLI-MOGHADDAM R., AMINI A., A new bi-objective vehicle routing-scheduling problem with cross-docking. Mathematical model and algorithm, Comp. Ind. Eng., 2020, 149 (3), 1–18.
• THEOPHILUS O., DULEBENETS M.A., PASHA J., LAU Y., FATHOLLAHI-FARD A.M., MAZAHERI A., Truck scheduling optimization at a cold-chain cross-docking terminal with product perishability considerations, Comp. Ind. Eng., 2021, 156, 1–22.
• YU V.F., JEWPANYA P., REDI A. A. N. P., TSAO Y. C., Adaptive neighborhood simulated annealing for the heterogeneous fleet vehicle routing problem with multiple cross-docks, Comp. Oper. Res., 2021, 129 (2), 1–19.
• SHAHABI-SHAHMIRI R., ASIAN S., TAVAKKOLI-MOGHADDAM R., MOUSAVI S.M., RAJABZADEH M., A routing and scheduling problem for cross-docking networks with perishable products, heterogeneous vehicles and split delivery, Comp. Ind. Eng., 2021, 157, 1–21.
• CASTELLUCCI P.B., COSTA A.M., TOLEDO F., Network scheduling problem with cross-docking and loading constraints, Comp. Oper. Res., 2021, 132 (1), 1–14.
• SUNG C.S., SONG S.H., Integrated service network design for a cross-docking supply chain network, J. Oper. Res. Soc., 2003, 54, 1283–1295.
• JAYARAMAN V., ROSS A., A simulated annealing methodology to distribution network design and management, Eur. J. Oper. Res., 2003, 144, 629–645.
• GUMUS M., BOOKBINDER J.H., Cross-docking and its implications in location-distribution systems, J. Bus. Logist., 2004, 25, 199–228.
• SUNG C.S., YANG W., An exact algorithm for a cross-docking supply chain network design problem, J. Oper. Res. Soc., 2008, 59, 119–136.
• BACHLAUS M., PENDEY M.K., MAHAJAN C., SHANKAR R., TIWARI M.K., Designing an Integrated multi-echelon agile supply chain network. a hybrid Taguchi-particle swarm optimization approach, J. Intell. Manuf., 2008, 19, 747–761.
• ROSS A., JAYARAMAN V., An evaluation of new heuristics for the location of cross-docks distribution centers in supply chain network design, Comp. Ind. Eng., 2008, 55, 64–79.
• YAN H., TANG S.L., Pre-distribution and post-distribution cross-docking operation, Transp. Res. E-Log., 2009, 45, 843–859.
• MUSA R., ARNAOUT J.P., JUNG H., Ant colony optimization algorithm to solve for the transportation problem of cross-docking network, Comp. Ind. Eng., 2010, 59, 85–92.
• MARJANI M.R., HUSSEINI S.M.M., KARIMI B., Bi-objective heuristics for multi-item freights distribution planning problem in cross docking networks, Int. J. Adv. Manuf. Tech., 2011, 58, 1201–1216.
• MA H., MIAO Z., LIM A., RODRIGUES B., Cross docking distribution networks with setup cost and time window constraint, Omega, 2011, 39, 64–72.
• JAVANMARD S., VAHDANI B., TAVAKKOLI-MOGHADDAM R., Solving a multi-product distribution planning problem in cross docking networks. An imperialist competitive algorithm, Int. J. Adv. Manuf. Tech., 2014, 70, 1709–1720.
• HOSSEINI S.D., SHIRAZI M.A., KARIMI B., Cross-docking and milk run logistics in a consolidation network. A hybrid of harmony search and simulated annealing approach, J. Manuf. Syst, 2014, 33, 567–577.
• SEYEDHOSEINI S.M., RASHID R., TEIMOURI E., Developing a cross-docking network design model under uncertain environment, J. Ind. Eng. Int., 2015, 11, 225–236.
• YU V.F., JEWPANYA P., KACHITVICHYANUKUL V., Particle swarm optimization for the multi-period cross-docking distribution problem with time windows, Int. J. Prod. Res., 2016, 54, 509–525.
• GOODARZI A.H., ZEGORDI S.H., A new model for location and transportation problem of cross-docks in distribution networks, Int. J. Mod. Optim., 2017, 7, 51–65.
• BEHNAMIAN J., FATEMI GHOMI S.M.T., JOLAI F., HEIDARI P., Location-allocation and scheduling of inbound and outbound trucks in multiple cross-dockings considering breakdown trucks, J. Optim. Ind. Eng., 2018, 11, 51–65.
• BHANGU M.S., ANAND R., KUMAR V., Lagrangian relaxation for distribution networks with cross-docking centre, Int J. Intell. Syst. Tech. App, 2019, 18, 52–68.

Identifiers

DOI

10.37190/ord220107