Modeling an inventory problem with random supply, inspection and machine breakdown

Abstract

As businesses operating in the production sector often need to deal with defective products and machine breakdowns, they may experience challenges in their production planning and control processes. This study addresses random machine breakdown to derive an optimal production time for defective products under an abort/ resume inventory control policy. Machine time-to-breakdown involves two scenarios: namely, the occurrence of machine breakdown during production and its occurrence after production. Total expected cost functions are derived for each scenario. The average cost is then assessed in terms of expense over time. This study explores assumptions such as the performance of the inspection both during and after production, defective products being discarded, and others being sold at discount prices, and the time-to-breakdown being exponentially distributed. Numerical examples are given to explain the model which has been developed, and the convex formation of the expected function of total cost is illustrated in a graph. Optimal values are investigated for production time and total cost based on two different values of the number of machine breakdowns per unit time. Sensitivity analyses are used to show how a number of system parameters affect the optimal solution. These analyses demonstrate that the demand rate and the number of machine breakdowns have a significant effect on the optimal solutions.

Identification of optimal maintenance parameters for best maintenance and service management system in the SMEs

“…Miwa and Oyama (2004) explained the optimal railway track maintenance and scheduling process by applying the integer-type linear programming model to propose the optimal and new strategy for the maintenance schedule by reducing the irregularities of the existing maintenance process in the railway track maintenance operation. Öztürk (2019) investigated the optimal inventory control problem with the industry's random supply chain management of the machine breakdown and quality inspection. Qiang et al .…”

Optimal Circular Economy and Process Maintenance Strategies for an Imperfect Production–Inventory Model with Scrap Returns

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“…Su et al [1] Multiple CD V Su et al [11] Multiple CD V Tayyab et al [12] Multiple RS V Öztürk [15] Single RB Öztürk [16] Single RB V V Dey et al [17] Single RD/RS V Dey et al [18] Single RS Huang et al [19] Single RS V Manna et al [20] Single RS V Mahata [23] Single RS V Su et al [21] Multiple RS V V This paper Multiple RS V V V Note: constant defective rate (CD), random defective rate (RD), random machine breakdowns (RB), random state shift (RS).…”

An Economic Inventory Model Comparing Stock Dependent and Fixed Demand for Random Machine Breakdown, Repair Time and Deterioration

“…A later metaheuristic usage was utilizing elephant crowd optimization 8) . Ozturk managed random machine breakdown with two cases during creation along with following creation to enhance the normal expense, disposing of the imperfect items, and others are offered at economical costs 9) .…”