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CONTAINER STOWAGE PLANNING (CSP) By:Maasoomeh Karimi

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content © An introduction to Container Stowage planning © Some definitions ° Problem importance ® Problem complexity ® Models and solution techniques ® Case study © Reference

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Some definitions

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problem importance © Containerization has increasingly facilitated the transportation of cargo since the 1970s (LD. Wilson, P.A. Roach, J.A. Ware, 2001). ©The standard frame and dimentions of containers allows containerized cargo to be transported by rail, truck or sea (1.D. Wilson, P.A. Roach, J.A. Ware, 2001). © The fast ship turnaround at a container terminal is essential for the economic performance of shipping companies (Akio Imai, Kazuya Sasaki, Etsuko Nishimura, Stratos Papadimitriou, 2006).

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(cont’d) © The turnaround time of a ship includes the time for berthing, unloading, loading and departure (Akio Imai, Kazuya Sasaki, Etsuko Nishimura, Stratos Papadimitriou, 2006). © Determining a viable arrangement of containers that facilitates loading and unloading process, in a cost-effective way, makes up the container stowage problem (I.D. Wilson, P.A. Roach, J.A. Ware, 2001).

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Problem complexity = Problem 9۱۱۱ ‏فا کتاز‎ The structure ‏ت۱۷‎ ‎of container |} constraints of ship the problem

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11١1١6١ ‏االاا الا آانب‎ Vi ۰ ae 4 ‏تس‎ ‎conta ۱ ۱ e r ship (Daniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) In particular, each location is addressed by the following indices: م * counted from bow to stern — hos + counted from the centre to outside اي م + counted from the bottom to the top of the ship

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۲۳6 5۳۱0111۴676۳60۵۳ ۲۵| 6۳ #۴ sh i P (cont'd) سه 6ه ‎ae wry yee‏ لاا )ل م اراك 0 Numbering of rows Numbering of bays (LD. WILSON AND P.A. ROACH, 1999) Numbering of tiers

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The structure ofcontainer—— ship (cont'd)

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. ۲۳۵ 0۳5 pro b | e m (Anna Sciomachen, Elena Tanfani, 2007; Daniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) ند ا ا 10

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(Anna Sciomachen, Elena Tanfani, 2007) » Constraints related to 40 feet containers » Constraints related to 20 feet containers

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nstra i nts (I.D. Wilson, PA. Roach, J.A. Ware, 2001; Anna Sciomachen, Elena Tanfani, 2007) » Reefer containers » ‘Out of gauge’ containers » Empty and open top containers » Fantainers » Hazardous containers

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ght con ۳ Anna Sciomachen, Elena Tanfani, ) ~The total weight of all containers cannot exceed the maximum weight capacity. » the weight of a stack of three containers of 20 feet and 40 feet cannot be greater than an a priori established value. » the weight of a container located in a tier cannot be greater than the weight of the container located in a lower tier having the same row and bay.

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1120111 ‏ا‎ Dien © ITAL FLORIDA ht 0

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estination constraints: (Daniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) Loading first those containers having as destination the final stop of the ship and consequently load last those containers that have to be unloaded first.

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Imai and Miki (1989); Imai et al. (2002); Akio Imai, Kazuya Sasaki, Etsuko Nishimura, Stratos Papadimitriou (2006) Avriel and Penn (1993) and Avriel et al. (1998) Haghani and Kaisar (2001); Wilson and Roach (1999, 2000) Martin et al. (1988) Ambrosino , Sciomachen and Tanfani 1ONNA\ Suko Nishimura, Stratos Papadimitriou, 2006; Sciomachen, Elena Tanfani, 2007) Minimization of the loading-related rehandle and maximization of ship stability Minimization of the unloading- related rehandles without any consideration for ship’s stability Minimization of the container unloading-related rehandle cost, while keeping the ship stability acceptable Minimization of the number unloading-related rehandles and minimization of the transtainer movement time Minimization of the total stowage ۱

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هو من هدنز 0461 Breaking the container 5601۷2۵6 ۳۳0 ‏ماصذ ووع‎ 0 ‏3565م‎ 000 01010000010000 [ ‏ب‎ ‎Papadntiow, 2000) 9 ng ina ine) ‏سوم جه‎ Programming (Avrel and Penn, 1993; Avrel et al, 2998; Imai and Miki, 1985) 17

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00 el (Daniela Ambrosin Tanfani, 2004) Anna Sciomachen, Elena Formally, the master bay plan problem (MBPP) involves determining how to stow a set Cofm_ containers of different types into a set S of n available locations within a containership, with respect to some structural and operational constraints related to both the containers and the ship, whilst minimising the total stowage time (see, e.g., Ambrosino and Sciomachen, 1998).

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Ambrosino, Anna Sciomachen, Elena 1 (2) (3) (4) (5) (6) (7) odel ‘Daniela Tanfani, 2004) Min L= 0 SO texic Te م ی ‎Yo‏ ‏8 1 ‎Ve‏ رم ‎T‏ ‎> vi ‏رو رو 7 ‎2 =0 Vie Bik ‎cr ‎59 ‎ ‏۸ 0 2 و ‎te‏

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(8) (9) (10) )11( ۸-2 2 ,6( - 2 )13( 20 606 )6۵۳۲۳0( wanieia Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) Site + Soxme <1 WEEK 2 ff ‎Dorie <1 ۸‏ سر ‎2 cf ‎Lites WEE jk=1,...,|K]—1‏ سايق 2 ‎WEE FES Ips (KA‏ یر زر او و ‏وا ک رنه روا را رن ‎ ‎cf ca a SN werite + ‏ب‎ Wexyttte + 3 Werinire SMF Vi,j,k=1,... ‏و‎

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21 (14) (15) (16) (17) (18) odel (CONt’A) ianieia Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) YS ‏مرن‎ = Weryerre) 20 Wijk = 1,---,|K]=-1 ‏سر‎ ‎1 ‏لماع عارزلا 20 منم - مدا زو‎ 1۸۱-1 east GE YY were — S23 YE werine < On iePyk o > و 0 کر را را 2 2 >0- ع جر JED ۵ we € {0,1} Vie

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pro DIEMS «10. wison, ‏هيع‎ Roach, |.A. Ware, 2001) © underlying heuristics used to generate stowage solution and their subsequent evaluation. ® Decomposing the planning process into two sub-process: » A strategic planning process ° Solution technique: branch and bound search » A tactical planning process © Solution technique: Tabu search 22

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۳۳ — io Imai, Kazuya Sasaki, Etsuko Nishimura, Stratos Papadimitriou, 2006) ® relationship between ship stability and the loading-related rehandle © Employing the weighting method (Cohon, 1978) © Objective function: maximization of the ship atability, minimization of the loading related rehandle ® Solution technique: Genetic algorithm 23

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0s Papadimitriou, 2006; Anna Scioma J-A. Ware, 2001; Akio ishimura, Strat Elena Tanfani, 2007 ) JJ. Shields (1984) Anna Sciomachen and Elena Tanfani (2007), G.L. Martin (1988), Haghani and Kaisar (2001) N.Perakis, J.T. Dillingham (1987), J.T. Dillingham , A.N.Perakis (1986), L_D'Wilson (1997), 1.D.Wilson , P.A. Roach (1997), LD.Wilson , P.A. Roach (1999), K. Sato, H.Itoh, Y. Awashima_ (1992), Ratcliffe and Sen (1987), Saginaw and Parakis (1989) DJ. Saginaw, A.N.Perakis (1989), G,J.P. Lang (1985), H. Sansen Ambrosino and Sciomachen (1998) Dubrovsky et al. (2002), Wilson and Roach (1999), Wilson et al. (2001), LD. Wilson, P-A. Roach and J.A. Ware (2001); Akio Imai, Kazuya Sasaki, Etsuko Nishimura, Stratos Wilson and Roach (1999), Wilson et al. (2001), I-D. Wilson, P.A. Roach and J.A. Ware (2001), Ambrosino et al. (2006) Simulation based upon probability Heuristic driven Rule-based expert systems Decision support systems Rule-based decision systems Metaheuristic approaches (genetic algorithm and tabu search) Exact method (branch and bound search)

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aniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) ®the Chiwaua containership, that is a “client’’ of the maritime terminal in Genoa (Italy) ® It is a 198 TEU containership, with 11 bays, four rows and five tiers (three in the hold and two in the upper deck, respectively) © Testing the approach deducing the master bay plan by referring to 13 cases, reported in Table 1. 25

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| (Daniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) © The impact of the destination constraints (15) in the cases 9 and 11, computational time reduces respectively from 103 to 22 min in the relaxed model, and from 112 to 35 min on the same platform. ® Manually compiling the corresponding master bay plans takes about from 60 to 90 min 26

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: (Daniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004) ® Achievement 26 container movements/hour, versus the same index in the present operational scenario at the maritime terminal that is about 24. © 28,500 variables for case 1 up to 45,030 for 20223 ® from 14,015 to 18,231 constraints for the same cases 27

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rence ۳ © Anna Sciomachen, Elena Tanfani, 2007. A 3D-BPP approach for optimising stowage plans and terminal productivity. European Journal of Operational Research 183, 1433-1446. © Akio Imai, Kazuya Sasaki, Etsuko Nishimura, Stratos Papadimitriou, 2006. Multi-objective simultaneous stowage and load planning for a container ship with container rehandle in yard stacks. European Journal of Operational Research 171, 373-389. © Daniela Ambrosino, Anna Sciomachen, Elena Tanfani, 2004. Stowing a containership: the master bay plan problem. Transportation Research Part A 38, 81-99. © Wilson, L.D., Roach, P.A., Ware, J.A., 2001. Container stowage pre-planning: Using search to generate solutions, a case study. Knowledge-Based Systems 14, 137-145. ® Wilson, I.D., Roach, P.A., 1999. Principles of combinatorial optimization applied to container-ship stowage planning. Journal of Heuristics 5, 403-418. 28

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