1. Consider a decision problem in which you have five alternatives and respective corresponding outcomes. There are two attributes, XI and X2, each of which you want to maximize. The outcomes are given in the following table: Outcome # 1 2 3 4 5 X Value 98 57 65 22 75 1 W1=0.9, W2=0.1 2 WI=0.1, W2=0.9 X Value 22 45 37 68 31 Using the TOPSIS method, rank the five outcomes for the following two sets of weights, where w1 refers to the weight for attribute 1 and w2 refers to the weight for attribute 2. Case Weights Relative Closeness Values: Rankings C1, C2, C3, C4, C5 2. A transportation and logistics company wants to decide on adopting a new technology to enhance their transportation activities. This new technology is called Block Chain which can add more efficiency in the transportation mode selections. There are three transport alternatives that are considered in their decision problem: (1) Present transportation conditions: the current transportation scenario which mainly focuses on using trucks to transport products. (2) Multimodal transportation: a transportation scenario on using a mixture of transportation modes such as trucks, ships and planes. (3) Blockchain-multimodal transportation: a transportation scenario where the new Block Chain technology can add many advantages. At the same time and while explaining these three alternatives to the company managers, they are asked to focus on three main attributes of these difference transportation alternatives. These three attributes are (1) Transparency of the transportation alternative: this attribute says how increased transparency on the transportation information can impact the entire SC. (2) De-monopolisation: this attribute says how each of the transportation alternatives can help on collaboration among various actors of supply chain. (3) Cost: this attribute focuses on the cost of each of these three transportation alternatives. Tables 2.1 to 2.4 present the available data for this decision problem. Table 2.1. Comparison matrix of attributes Transparency De-monopolisation Transparency De-monopolisation Cost 1 Alternative I Alternative 2 Alternative 3 3 1 Table 2.2. Comparison matrix of alternatives regarding transparency Alternative 1 Alternative 2 Alternative 3 1 Cost 1/2 4 1 1/2 1 1/5 1/4 1 Tables 2.1 to 2.4 present the available data for this decision problem. Table 2.1. Comparison matrix of attributes Transparency De-monopolisation Transparency De-monopolisation Cost Alternative 1 Alternative 2 Alternative 3 Alternative 1 Alternative 2 Alternative 3 ii) 1 Alternative 1 Alternative 2 Alternative 3 Table 2.2. Comparison matrix of alternatives regarding transparency Alternative I Alternative 2 Alternative 3 1 3 1 1 1/2 1 Table 2.3. Comparison matrix of alternatives regarding de-monopolisation Alternative 1 Alternative 2 Alternative 3 1 Cost 1/2 4 1/3 1 1 1/5 1 1/5 1/4 1 Table 2.4. Comparison matrix of alternatives regarding Cost Alternative 1 Alternative 2 1/4 1/3 1 Alternative 3 1/5 1/2 1 Construct a hierarchy to represent the decision problem. Use AHP approximation method to determine which decision needs to be made by the company manager. He wants to find out whether the new Block Chain technology needs to be adopted for his company or no. Clearly show all your calculation procedures. iii) m Calculate the inconsistency ratios for the decision makers' comparisons with regards to Table 2.4 and interpret your results. Use Table 2.5 for the Random Index value. 2 Random 0 Index 4 Table 2.5. Random Index 5 6 7 8 9 10 0.58 0.90 1.12 1.24 1.32 1.41 1.45 1.49 3. Consider a hierarchy (containing only the attributes for a problem, not the alternative solutions) for the AHP, with the following local weights: AIA 3/3 Suppose also that two alternatives are being considered, and that the local weights for each of these alternatives for each of the six lowest level attributes, from left to right, are given by Alt. 1 0.7 0.4 0.8 0.4 0.2 0.2 Alt. 2 0.3 0.6 0.2 0.6 0.8 0.8