In this paper, an oral solid dosage (OSD) packaging unit in a reputed pharmaceuticals company of Bangladesh is thoroughly investigated for its present availability level and a practical approach to improve the same is pursued. Such work is a new practice from the context of the pharmaceutical industry in Bangladesh. Availability is one of the three factors upon which overall equipment efficiency (OEE) depends. It is found that lower availability of machines acts as the main culprit behind the overall lower availability value in OEE for the considered OSD packaging unit. However, machine availability – defined as the ratio of machine uptime and the summation of machine uptime and machine downtime – depends on many external factors that are liable for unfavorable machine downtime and uptime. Maintenance personnel index (MP), task severity index (TS), and daily maintenance index (DM) are identified as the external factors crucial to the availability of the Blister packaging machine in the considered OSD unit. The interpretations of these three indices are in detail demonstrated for the considered packaging section. For determining the complex relationship between the mentioned three indices and machine availability, a model trained by an artificial neural network (ANN) using field data is used. Using the trained model, the values of these three indices that result in the various availability values in the desirable range are determined. Finally, which values of these three indices can be practically attained with respect to their present values are discussed briefly.