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A manager wants to assign tasks to workstations as efficiently as possible, and achieve an hourly output of 33/3 units. Assume the shop works a 60-minute hour. Assign the tasks shown in the accompanying precedence diagram (times are in minutes) to workstations using the following rules: 0.6 0.5 1.4 0.5 0.7 0.5 1.0 0.8 g e a. In order of most following tasks. Tiebreaker: greatest positional weight. O Answer is complete and correct. Work Tasks Station A B, E II D, C, F IV G, H

A manager wants to assign tasks to workstations as efficiently as possible, and achieve an hourly output of 33/3 units. Assume the shop works a 60-minute hour. Assign the tasks shown in the accompanying precedence diagram (times are in minutes) to workstations using the following rules: 0.6 0.5 1.4 0.5 0.7 0.5 1.0 0.8 g e a. In order of most following tasks. Tiebreaker: greatest positional weight. O Answer is complete and correct. Work Tasks Station A B, E II D, C, F IV G, H

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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**Section b: Task Allocation by Greatest Positional Weight** In this section, tasks are assigned to various workstations based on the order of greatest positional weight. The tiebreaker criterion is to prioritize those with the most subsequent tasks. - **Workstation Task Allocation Table:** | Work Station | Tasks | |--------------|--------| | I | A | | II | B, E | | III | D, C, F| | IV | G, H | The answer to this part is complete and correct, as indicated by the green check mark. **Section c: Efficiency Calculation** - Calculation Query: What is the efficiency? (Round your answer to 2 decimal places.) - **Efficiency Answer:** The attempted efficiency calculation shows a value of 0.83, which is marked with an error symbol, indicating that while the answer is complete, it is not entirely correct. Please review your calculations.
Transcribed Image Text:**Section b: Task Allocation by Greatest Positional Weight** In this section, tasks are assigned to various workstations based on the order of greatest positional weight. The tiebreaker criterion is to prioritize those with the most subsequent tasks. - **Workstation Task Allocation Table:** | Work Station | Tasks | |--------------|--------| | I | A | | II | B, E | | III | D, C, F| | IV | G, H | The answer to this part is complete and correct, as indicated by the green check mark. **Section c: Efficiency Calculation** - Calculation Query: What is the efficiency? (Round your answer to 2 decimal places.) - **Efficiency Answer:** The attempted efficiency calculation shows a value of 0.83, which is marked with an error symbol, indicating that while the answer is complete, it is not entirely correct. Please review your calculations.
### Task Assignment to Workstations **Objective:** A manager aims to efficiently assign tasks to workstations to achieve an hourly output of \(33\frac{1}{3}\) units. The shop operates on a 60-minute hour. Tasks are assigned using the precedence diagram, and their times are indicated in minutes. The following rules are used: 1. Assign tasks in the order of those with the most following tasks. 2. In the event of a tie, the task with the greatest positional weight is prioritized. **Precedence Diagram:** - **Nodes and Relationships:** - **A (1.4 min)**: No dependencies. - **B (0.5 min)** and **E (0.8 min)** are dependent on A. - **C (0.6 min)** and **G (1.0 min)** are dependent on B. - **D (0.5 min)** is dependent on both B and E. - **F (0.5 min)** requires D. - **H (0.5 min)** is dependent on E. **Workstation Assignments:** A table summarizes the task allocation: | Work Station | Tasks | |--------------|--------| | I | A | | II | B, E | | III | C, D, F| | IV | G, H | **Explanation:** - **Workstation I:** Handles task A individually, as it is the initial node. - **Workstation II:** Tasks B and E are executed together, following A. - **Workstation III:** Combined tasks D, C, and F follow B and E, incorporating dependencies quickly. - **Workstation IV:** Concludes with tasks G and H, following earlier branches. This configuration is checked and confirmed as complete and correct, ensuring optimal workstation efficiency.
Transcribed Image Text:### Task Assignment to Workstations **Objective:** A manager aims to efficiently assign tasks to workstations to achieve an hourly output of \(33\frac{1}{3}\) units. The shop operates on a 60-minute hour. Tasks are assigned using the precedence diagram, and their times are indicated in minutes. The following rules are used: 1. Assign tasks in the order of those with the most following tasks. 2. In the event of a tie, the task with the greatest positional weight is prioritized. **Precedence Diagram:** - **Nodes and Relationships:** - **A (1.4 min)**: No dependencies. - **B (0.5 min)** and **E (0.8 min)** are dependent on A. - **C (0.6 min)** and **G (1.0 min)** are dependent on B. - **D (0.5 min)** is dependent on both B and E. - **F (0.5 min)** requires D. - **H (0.5 min)** is dependent on E. **Workstation Assignments:** A table summarizes the task allocation: | Work Station | Tasks | |--------------|--------| | I | A | | II | B, E | | III | C, D, F| | IV | G, H | **Explanation:** - **Workstation I:** Handles task A individually, as it is the initial node. - **Workstation II:** Tasks B and E are executed together, following A. - **Workstation III:** Combined tasks D, C, and F follow B and E, incorporating dependencies quickly. - **Workstation IV:** Concludes with tasks G and H, following earlier branches. This configuration is checked and confirmed as complete and correct, ensuring optimal workstation efficiency.
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