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SOLUTION APPROACHES FOR MIXED PALLET COLLECTION PROBLEM: A CASE STUDY IN A LOGISTIC COMPANY

Yıl 2019, Cilt: 37 Sayı: 3, 827 - 840, 01.09.2020

Öz

In this paper, we study a mixed pallet collection problem in a warehouse of the company operating in fast moving consumer goods industry and present a mixed integer programming formulation with the objective function of total travelling distance minimization. The problem studied is shown to be equivalent to the well-known vehicle routing problem. Since the problem belongs to the class of NP-hard problems, introduced mathematical formulation cannot provide optimal solution in an acceptable amount of time. We, therefore, develop an algorithm based on Simulated Annealing (SA) meta-heuristic approach to find near-optimal solution in a quite shorter computational time. Routes are constructed using Clarke&Wright saving algorithm and then these routes are perturbed whereby three neighborhood operators, namely swap, insert, swap-range are utilized to further improve the quality of the solution. Experimental results based on a real case instance demonstrates that SA algorithm is capable of providing solution more quickly than that of CPLEX solver but the quality of the solution found by SA is 7% worse than that of CPLEX.

Kaynakça

  • [1] Şahin Y., Eroğlu A., Kapasite Kısıtlı Araç Rotalama Problemi İçin Meta Sezgisel Yöntemler Bilimsel Yazın Taraması, Süleyman Demirel Üniversitesi İktisadi ve İdari bilimler Fakültesi Dergisi, 19(4), 337-355, 2014.
  • [2] Dantzig G., Ramser J., The Truck Dispatching Problem, Management Science, 6(1), 80-91, 1959.
  • [3] Clarke G., Wright J.W., Scheduling of Vehicles from a Central Depot to a Number of Delivery Points. Operations Research, 12(4), 568-581, 1964.
  • [4] Golden B.L., Magnanti T.L., Nguyen H.Q., Implementing vehicle routing algorithms, Networks, 7(2), 113–148, 1972.
  • [5] Solomon M., Vehicle routing and scheduling with time window constraints: Models and algorithms, Techinical Report, Northeastern University College of Business Admin, 1983.
  • [6] Min H., The multiple vehicle routing problem with simultaneous delivery and pickup points, Transportation Research, 23(5), 377–386, 1989.
  • [7] Dethloff J., Vehicle routing and reverse logistics: The vehicle routing problem with simultaneous delivery and pick-up, OR Spektrum, 23(1), 2001, 79–96, 2001.
  • [8] Bayrak A., Özyörük B.,, Bölünmüş talepli eş zamanlı topla dağıt araç rotalama problemi için karşılaştırmalı matematiksel modeller, Journal of the Faculty of Engineering and Architecture of Gazi University, 32(2), 469-479, 2017.
  • [9] Belbağ, S., Yeşil kapasite kısıtlı araç rotalama problemi:Bir literatür taraması, Gazi Üniversitesi İktisadi ve İdari Bilimler Fakültesi,19(1), 345-366, 2017.
  • [10] Cook T. M., Russell R. A., A simulation and statistical analysis of stochastic vehicle routing with timing constraints, Decision Sciences, 9(4), 673–687, 1978.
  • [11] Powell W. B., A stochastic model of the dynamic vehicle allocation problem, Transportation Science, 120(2), 117–129, 1986.
  • [12] Brandao J., Mercer A., A Tabu search algorithm for the multi-trip vehicle routing and scheduling problem, European Journal of Operational Research, 100(1), 180–192, 1997.
  • [13] Christofides N.,Vehicle scheduling and routing, Presented at the 12th International Symposium on Mathematical Programming, 1985.
  • [14] Laporte G., Nobert Y., Exact Algorithms for the Vehicle Routing Problem, North-Holland Mathematics Studies, 132, 147-184, 1987.
  • [15] Laporte G.,The Vehicle Routing Problem: An overview of exact and approximate algorithms, European Journal of Operational Research, 59(3), 345-358, 1992.
  • [16] Foster B.A., Ryan D.M., “An integer programming approach to the vehicle scheduling problem”, Operational Research Quarterly, 27(2), 367-384, 1976.
  • [17] Gillet B.E., Miller L.R., “A heuristic algorithm for the vehicle dispatch problem,” Operations Research, 22(2), 340-349, 1974.
  • [18] Christofides N., Mingozzi A., Toth P., The Vehicle Routing Problem In Combinatorial Optimization, Wiley Chichester, 1979.
  • [19] Renaud J., Boctor F.F., Laporte G., An Improved Petal Heuristic for the Vehicle Routing Problem, Journal of Operational Research Society, 47(2), 329-336 , 1996.
  • [20] Laporte, G., Ropke, S., & Vidal, T. Heuristics for the vehicle routing problem. Vehicle Routing: Problems, Methods, and Applications, 18, 87, 2014.
  • [21] Hopfield, J.J., Tank, D.W.,Neural Computation of Decisions in Optimization Problems. Biological Cybernetics, 52, 141-152,1985.
  • [22] Glover F., McMillan C., The General Employee Scheduling Problem: An Integration of Management Science and Artificial Intelligence, Computers and Operations Research, 13(5), 563-593, 1986.
  • [23] Kirkpatrick S.Gelatt Jr. C.D., Vecchi M.P., Optimization by simulated annealing, Science, 220(4598), 671–680, 1983.
  • [24] Holland J.H., Adaptation in Natural and Artificial Systems, University of Michigan Press, 1975.
  • [25] Dorigo M., Maniezzo V., Colorni A., Positive Feedback as a Search Strategy, Technical Report, 91-016, 1991.
  • [26] Wang C., Dong M., Zhao F., Sutherland J.W., A Parallel Simulated Annealing Method For The Vehicle Routing Problem With Simultaneous Pickup–Delivery And Time Windows, Computers And Industrial Engineering, 83,111-122, 2015.
  • [27] Gendreau M., Guertin F., Potvin J.Y. Seguin R., Neighborhood Search heuristics for a dynamic vehicle dispatching problem with pick-ups and deliveries, Transport Research Part C: Emerging Techologies, 14(3), 157-174, 2006.
  • [28] Bortfeldt A., A hybrid algorithm for the capacitated vehicle routing problem with three-dimensional loading constraints, Computers & Operations Research, 39(9), 2248-2257, 2012.
  • [29] Mester, D., Braysy, O., Active-guided evolution strategies for large-scale capacitated vehicle routing problems, Computers & Operations Research,34 (10), 2964-2975, 2007.
  • [30] Aziz E., An Algorithm for the Vehicle Problem, International Journal of Advanced Robotic Systems, 7(2), 125-132, 2010.
  • [31] Edison E., Shima T., Integrated task assignment and path optimization for cooperating uninhabited aerial vehicles using genetic algorithms, Computers & Operations Research, 38(1), 340-356, 2011.
  • [32] Günther ,O., Kulak, O., Kalayci ,C. B. ve Polat , O., A perturbation based variable neighborhood search heuristic for solving the vehicle routing problem with simultaneous pickup and delivery, European Journal of Operational Research, 242, 369-382, 2015.
  • [33] Junqueira, L., & Morabito, R. Heuristic algorithms for a three-dimensional loading capacitated vehicle routing problem in a carrier. Computers & Industrial Engineering, 88, 110–130, 2015.
  • [34] Pollaris, H., Braekers, K., Caris, A., Janssens, G. K., & Limbourg, S., Vehicle routing problems with loading constraints: state-of-the-art and future directions, OR Spectrum, 37(2), 297–330, 2015.
Yıl 2019, Cilt: 37 Sayı: 3, 827 - 840, 01.09.2020

Öz

Kaynakça

  • [1] Şahin Y., Eroğlu A., Kapasite Kısıtlı Araç Rotalama Problemi İçin Meta Sezgisel Yöntemler Bilimsel Yazın Taraması, Süleyman Demirel Üniversitesi İktisadi ve İdari bilimler Fakültesi Dergisi, 19(4), 337-355, 2014.
  • [2] Dantzig G., Ramser J., The Truck Dispatching Problem, Management Science, 6(1), 80-91, 1959.
  • [3] Clarke G., Wright J.W., Scheduling of Vehicles from a Central Depot to a Number of Delivery Points. Operations Research, 12(4), 568-581, 1964.
  • [4] Golden B.L., Magnanti T.L., Nguyen H.Q., Implementing vehicle routing algorithms, Networks, 7(2), 113–148, 1972.
  • [5] Solomon M., Vehicle routing and scheduling with time window constraints: Models and algorithms, Techinical Report, Northeastern University College of Business Admin, 1983.
  • [6] Min H., The multiple vehicle routing problem with simultaneous delivery and pickup points, Transportation Research, 23(5), 377–386, 1989.
  • [7] Dethloff J., Vehicle routing and reverse logistics: The vehicle routing problem with simultaneous delivery and pick-up, OR Spektrum, 23(1), 2001, 79–96, 2001.
  • [8] Bayrak A., Özyörük B.,, Bölünmüş talepli eş zamanlı topla dağıt araç rotalama problemi için karşılaştırmalı matematiksel modeller, Journal of the Faculty of Engineering and Architecture of Gazi University, 32(2), 469-479, 2017.
  • [9] Belbağ, S., Yeşil kapasite kısıtlı araç rotalama problemi:Bir literatür taraması, Gazi Üniversitesi İktisadi ve İdari Bilimler Fakültesi,19(1), 345-366, 2017.
  • [10] Cook T. M., Russell R. A., A simulation and statistical analysis of stochastic vehicle routing with timing constraints, Decision Sciences, 9(4), 673–687, 1978.
  • [11] Powell W. B., A stochastic model of the dynamic vehicle allocation problem, Transportation Science, 120(2), 117–129, 1986.
  • [12] Brandao J., Mercer A., A Tabu search algorithm for the multi-trip vehicle routing and scheduling problem, European Journal of Operational Research, 100(1), 180–192, 1997.
  • [13] Christofides N.,Vehicle scheduling and routing, Presented at the 12th International Symposium on Mathematical Programming, 1985.
  • [14] Laporte G., Nobert Y., Exact Algorithms for the Vehicle Routing Problem, North-Holland Mathematics Studies, 132, 147-184, 1987.
  • [15] Laporte G.,The Vehicle Routing Problem: An overview of exact and approximate algorithms, European Journal of Operational Research, 59(3), 345-358, 1992.
  • [16] Foster B.A., Ryan D.M., “An integer programming approach to the vehicle scheduling problem”, Operational Research Quarterly, 27(2), 367-384, 1976.
  • [17] Gillet B.E., Miller L.R., “A heuristic algorithm for the vehicle dispatch problem,” Operations Research, 22(2), 340-349, 1974.
  • [18] Christofides N., Mingozzi A., Toth P., The Vehicle Routing Problem In Combinatorial Optimization, Wiley Chichester, 1979.
  • [19] Renaud J., Boctor F.F., Laporte G., An Improved Petal Heuristic for the Vehicle Routing Problem, Journal of Operational Research Society, 47(2), 329-336 , 1996.
  • [20] Laporte, G., Ropke, S., & Vidal, T. Heuristics for the vehicle routing problem. Vehicle Routing: Problems, Methods, and Applications, 18, 87, 2014.
  • [21] Hopfield, J.J., Tank, D.W.,Neural Computation of Decisions in Optimization Problems. Biological Cybernetics, 52, 141-152,1985.
  • [22] Glover F., McMillan C., The General Employee Scheduling Problem: An Integration of Management Science and Artificial Intelligence, Computers and Operations Research, 13(5), 563-593, 1986.
  • [23] Kirkpatrick S.Gelatt Jr. C.D., Vecchi M.P., Optimization by simulated annealing, Science, 220(4598), 671–680, 1983.
  • [24] Holland J.H., Adaptation in Natural and Artificial Systems, University of Michigan Press, 1975.
  • [25] Dorigo M., Maniezzo V., Colorni A., Positive Feedback as a Search Strategy, Technical Report, 91-016, 1991.
  • [26] Wang C., Dong M., Zhao F., Sutherland J.W., A Parallel Simulated Annealing Method For The Vehicle Routing Problem With Simultaneous Pickup–Delivery And Time Windows, Computers And Industrial Engineering, 83,111-122, 2015.
  • [27] Gendreau M., Guertin F., Potvin J.Y. Seguin R., Neighborhood Search heuristics for a dynamic vehicle dispatching problem with pick-ups and deliveries, Transport Research Part C: Emerging Techologies, 14(3), 157-174, 2006.
  • [28] Bortfeldt A., A hybrid algorithm for the capacitated vehicle routing problem with three-dimensional loading constraints, Computers & Operations Research, 39(9), 2248-2257, 2012.
  • [29] Mester, D., Braysy, O., Active-guided evolution strategies for large-scale capacitated vehicle routing problems, Computers & Operations Research,34 (10), 2964-2975, 2007.
  • [30] Aziz E., An Algorithm for the Vehicle Problem, International Journal of Advanced Robotic Systems, 7(2), 125-132, 2010.
  • [31] Edison E., Shima T., Integrated task assignment and path optimization for cooperating uninhabited aerial vehicles using genetic algorithms, Computers & Operations Research, 38(1), 340-356, 2011.
  • [32] Günther ,O., Kulak, O., Kalayci ,C. B. ve Polat , O., A perturbation based variable neighborhood search heuristic for solving the vehicle routing problem with simultaneous pickup and delivery, European Journal of Operational Research, 242, 369-382, 2015.
  • [33] Junqueira, L., & Morabito, R. Heuristic algorithms for a three-dimensional loading capacitated vehicle routing problem in a carrier. Computers & Industrial Engineering, 88, 110–130, 2015.
  • [34] Pollaris, H., Braekers, K., Caris, A., Janssens, G. K., & Limbourg, S., Vehicle routing problems with loading constraints: state-of-the-art and future directions, OR Spectrum, 37(2), 297–330, 2015.
Toplam 34 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Research Articles
Yazarlar

Saadettin Erhan Kesen Bu kişi benim 0000-0001-9994-5458

Muzaffer Alım Bu kişi benim 0000-0002-4420-7391

Yayımlanma Tarihi 1 Eylül 2020
Gönderilme Tarihi 4 Şubat 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 37 Sayı: 3

Kaynak Göster

Vancouver Kesen SE, Alım M. SOLUTION APPROACHES FOR MIXED PALLET COLLECTION PROBLEM: A CASE STUDY IN A LOGISTIC COMPANY. SIGMA. 2020;37(3):827-40.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/