Case Study Dynamic Optimization Technique for Finite and Infinite Horizon Problems for Solving Resource Allocation Problem

Sadiq A-AL R., Mohammed; Hasan A., Mohammed

	Case Study Dynamic Optimization Technique for Finite and Infinite Horizon Problems for Solving Resource Allocation Problem
journal of kirkuk University For Administrative and Economic Sciences
Volume 12, Issue 1, January 2022, Pages 147-165 PDF (1.88 M)
Authors
Mohammed Sadiq A-AL R.; Mohammed Hasan A.
University of Kirkuk Journal For Administrative and Economic Science
Abstract
In this research the problem of resource allocation in Al-Raji Company for soft drinks and juices is studied. The company wants to allocate a number of machines to accomplish a number of tasks to complement the systemic process as it produces several types of juices and soft drinks. If you want to allocate 6 machines, you want 4 different tasks to accomplish these tasks. The machines assigned to each task are subject to failure, and these machines are repaired to return to the production process again. And through the records of the company, the times of failure of the machines were recorded in order to calculate the probability of failure of each machine and then calculate the probability of failure of the tasks, and also the time required for each machine to accomplish each task was recorded. This research aims to determine the minimum expected time to complete all the machines assigned to accomplish their tasks in the company by using the dynamic optimization method and over finite and infinite horizons. And through the results obtained, it was found that the amount of the machines' completion of the tasks became close to each other, but for the first task it takes less time than the rest of the tasks, which makes it the best policy that the company can adopt, then after that the second task and so on for the third and two tasks Fourth in a row. A careful analysis of the situation also revealed that the time it takes for each machine to complete its tasks has been reduced, and that appropriate planning and quick and effective maintenance can enhance the capacity of the machines and thus reduce the time and effort and continue the work of the machines as long as possible, which contributes to reducing the company's costs and thus maximizing the production capacity To increase company profits.
Keywords
Resource Allocation Problem; Dynamic Optimization; Finite and Infinite Horizon; Value Iteration Algorithm; Machines Allocation to Accomplish Tasks

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