A law firm has accepted five new cases, each of which can be adequately handled by...
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A law firm has accepted five new cases, each of which can be adequately handled by any one of its five junior partners. Due to differences in experience and expertise, however, the junior partners would spend varying amount of time on the cases. A senior partner has estimated the time requirement (in hours) as shown below: Case 1 Case 2 Case 3 Case 4 Case 5 Lawyer 1 145 122 130 95 115 Lawyer 2 80 63 85 48 78 Lawyer 3 121 107 93 69 95 Lawyer 4 118 83 116 80 105 Lawyer 5 97 75 120 80 111 Question 1: Construct a Linear Programming model to determine an optimal assignment of cases to lawyers such that each junior partner receives a different case and the total hours expended by the firm is minimised. (Do not solve the LPP). Question 2: Use Transportation algorithm to solve the linear programming problem constructed in Question 1. Question 3: Apply Hungarian method to solve the linear programming problem as an assignment problem to minimise the total hours. Verify if the total hours is the same as the one obtained in Question 2. A law firm has accepted five new cases, each of which can be adequately handled by any one of its five junior partners. Due to differences in experience and expertise, however, the junior partners would spend varying amount of time on the cases. A senior partner has estimated the time requirement (in hours) as shown below: Case 1 Case 2 Case 3 Case 4 Case 5 Lawyer 1 145 122 130 95 115 Lawyer 2 80 63 85 48 78 Lawyer 3 121 107 93 69 95 Lawyer 4 118 83 116 80 105 Lawyer 5 97 75 120 80 111 Question 1: Construct a Linear Programming model to determine an optimal assignment of cases to lawyers such that each junior partner receives a different case and the total hours expended by the firm is minimised. (Do not solve the LPP). Question 2: Use Transportation algorithm to solve the linear programming problem constructed in Question 1. Question 3: Apply Hungarian method to solve the linear programming problem as an assignment problem to minimise the total hours. Verify if the total hours is the same as the one obtained in Question 2.
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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