A time-shared machine repair problem with mixed spares under N-policy

Journal of Industrial Engineering International - Tập 12 Số 2 - Trang 145-157 - 2016
Jain, Madhu1, Shekhar, Chandra2, Shukla, Shalini3
1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
2Department of Mathematics, Birla Institute of Technology and Science, Pilani, India
3Department of Mathematics, D.A.V. (PG) College, Dehra Dun, India

Tóm tắt

The present investigation deals with a machine repair problem consisting of cold and warm standby machines. The machines are subject to breakdown and are repaired by the permanent repairman operating under N-policy. There is provision of one additional removable repairman who is called upon when the work load of failed machines crosses a certain threshold level and is removed as soon as the work load again ceases to that level. Both repairmen recover the failed machines by following the time sharing concept which means that the repairmen share their repair job simultaneously among all the failed machines that have joined the system for repair. Markovian model has been developed by considering the queue dependent rates and solved analytically using the recursive technique. Various performance indices are derived which are further used to obtain the cost function. By taking illustration, numerical simulation and sensitivity analysis have been provided.

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Journal of Industrial Engineering International

Tập 12 Số 2

145-157

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