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Obviously, the recall size in case of contamination ofa processing batch (R2) strongly depends on the processing batchsize. Thus, this variable unutilized fraction of the process results ina variable difference in recall size between PS1 and PS2, which isreflected in the peaks present in the R2 results curve in Fig. 4. Therecall size in case of contamination of the raw material (R1) is alsoaffected by this variable difference, but since this type of recallconsists of multiple batches of finished product, this has a relativelysmall influence on the results, and cannot be seen in Fig. 4.Overall, Fig. 4 shows that for all processing batch sizes therelative difference in production efficiency ranges between 7 and22%, the relative difference in recall size for R1 between 0.5 and 4%,and for R2 between 6 and 16%. In general, when comparing PS1 toPS2, the difference of both production efficiency and recall sizesbetween PS1 and PS2 increases when increasing processing batchsizes, due to the decreasing utilization and the increased size ofmixed batches.When comparing the benefits in increased production efficiencyof PS1 to the benefits in reduced recall sizes of PS2, we did notinclude the probability that a product recall occurs. A product recallobviously does not occur for every batch produced, while benefitsin production efficiency influence all produced batches. Therefore,when deciding whether adopting a new production strategy wouldbe beneficial, the probability that a product recall occurs must beassessed and included in the decision-making process. However,even without this probability, the results obtained in this papershow that the effects in terms of production efficiency in PS1 aresignificant. This suggests that adopting a production strategyfocused on reduced batch dispersion (such as our PS2 strategy)might often not be economically feasible. However, it should alsobe taken into account that the efficiency losses and the amount oflost product are only part of the economical effects. It is well knownthat in case a product recall occurs, food companies also incur costsrelated to organizing the recall, bad publicity and damage to thereputation of the brand (Onyango et al. 2007). If these aspects werequantified and taken into account, reducing recall sizes would havea bigger impact and PS2 might also become economically feasible.Quantifying the losses caused by bad publicity and damage to thereputation of a brand in case of product recall is outside the scope ofour paper.4.2. Influence of different traceability systems on product recall sizeWhen constructing the case study it was seen that currently nofull traceability is in use in the supply chain of chocolate. This isprobably due to the fact that cocoa is farmed in non-Europeancountries, where there is no legislation obliging the actorsinvolved in a food supply chain to have traceability systems. TheEuropean legislation states that within Europe, food companiesmust be able to identify immediate suppliers and customers ofa specific product (European Commission, 2002). This legislationguarantees full traceability within the European borders, buttraceability is lost when part of the supply chain goes outside theseborders. In the example case study constructed in this paper it wasseen that cocoa could be traced up to the local exporter, which,since located outside Europe, is not obligated to comply with theEuropean law on traceability and therefore does not record anyfurther traceability information.In our study the benefits of having a traceability system that ismore accurate than what the lawrequires are quantified in terms ofreduction of product recalls. In order to propose realisticimprovements of the traceability system of the case study supplychain, TSþ and TSþþ were designed taking into consideration thatmost of the cocoa farmers would not have the resources to invest intechnologies, therefore these improvements imply very lowinvestments. In order to analyze the influence of these differenttraceability systems (TS0, TSþ and TSþþ) on the recall size of thefinished product in case of contamination of the raw materials, weagain used the simulation tool. In order to have an accurate resultthe simulation model has been run 100 times for each processingbatch size and data are shown in Fig. 6 as the average of the averagesof the results of all roasting equipment sizes (kg).The results show an average recall size of 1,608,719 units ofproduct for TS0, an average recall size of 714,584 units of productfor TSþ and an average recall size of 55,789 units of product forTSþþ. No standard deviation is shown in the Fig. 6 because it wouldshow a variation which is mainly caused by the different roastingequipment sizes, thus giving a false sense of variability.
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