Comparison of solutions Sample Clauses

Comparison of solutions. ‌ A summary of the fleet composition is presented in Table 6.21. In general, the fleet compositions from bulk vessels indicate that the number of bulk vessels corresponds to the number of barges to be used in the alternative vessel type. An analogy which could be used here is that the tugboats represent the engine part of the bulk vessel. Where there are a number of bulk vessels to serve a certain number of orders, the same number of barges is required but the same amount of orders can be served with a lower number of tugboats/engine. More orders are served daily by tugboats/barges which imply an increase in productivity. An increase in the productivity potentially leads to an increase in the revenue. Traditional bulk vessels Tugboats ad barges Fleet composition: 4 bulk vessels Capacities: 2500,2500, 2000, 2000 All orders served No additional orders possible Fleet composition: 3 tugboats 4 barges Capacities: 2500,2500, 2000, 2000 All orders served Additional orders possible Fleet composition: 2 bulk vessels Capacities: 2000, 2000 All orders served Additional orders possible Fleet composition (a): 1 tugboat 2 barges One order not served Fleet composition (b): 2 tugboat 2 barges All orders served Additional orders possible Capacities: 2000, 2000 Fleet composition: 1 bulk vessel Capacity: 3500 All orders served Additional orders possible Fleet composition: 1 tugboat 1 barge All orders served Additional orders possible Capacity: 3500 Fleet composition: 3 bulk vessel All orders served Additional orders possible Capacities: 3500, 2000, 2000 Fleet composition: 3 tugboat 3 barge All orders served Additional orders possible Capacities: 3500, 2000, 2000 number of orders(bulk vessel) number of orders(tugboat) 0 day 1 day 2 day 3 day 4 day 5 day 6 Solving the same problem instances with tugboats/barges gave solutions different from the traditional bulk vessel. This is due to the flexibility in operating tugboats and barges. A lot of time is gained by eliminating the time spent for unloading. This time is invested into serving more orders. Consequently, more orders are served by tugboats and barges daily (Figure 6.1) and a smaller fleet is also used. Orders are also completed early in the planning horizon and also with a high order fulfilment rate. Figure 6.1: Graph showing the comparison of the number of orders served daily From this graph, we can see that 3 tugboats and 4 barges can serve more orders daily which is good for planning the activity in a week24. Comparin...
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Comparison of solutions. ‌ From the solution given by the real planning and the solver generated solution, the utilization of the vessels have been calculated and shown in Table 5.03. The utilization has been given in terms of the number of orders served by each vessel and also by the percentage of the total demand carried by each vessel. Vessels Utilization Number of orders served % tonnage of total demand Bulk vessel no 1 4 21.94 Bulk vessel no 2 4 21.53 Bulk vessel no 3 1 13.81 Bulk vessel no 4 1 5.28 Bulk vessel no 5 1 6.55 Bulk vessel no 6 2 22.75 Bulk vessel no 7 1 8.13 Total 14 100 Table 5.03(a): Utilization of vessels from real solution Vessels Utilization Number of orders served % tonnage of total demand Bulk vessel no 1 Bulk vessel no 6 9 5 49.62 50.38 Total 14 100 The utilization of vessels under the real plan has a maximum of 22.75% with two orders being served. This in actual sense may be considered as biased as bulk vessel 6 has a capacity which is twice that of bulk vessel 1. Bulk vessel 1 serves 4 orders serving 21.94% of the orders. The reduced fleet size in the solver generated solution gave a share of approximately 50% each to both bulk vessels used. Five orders were served by bulk vessel 6 and 9 orders by bulk vessel 1. The poor utilization of the vessels in the real plan is partly due to their use outside the Rogaland and Hordaland region. The vessels were put to use based on their availability within the period. The solution from the solver represents how vessels could be used to serve orders only within the region, and thus having a small fleet to serve orders. CHAPTER SIX‌
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