COST ANALYSIS OF THER-UNRELIABLE-UNLOADER QUEUEING SYSTEM

Kuo-Hsiung Wang, Chun-Chin Oh and Jau-Chuan Ke ()
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Kuo-Hsiung Wang: Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, Taiwan
Chun-Chin Oh: Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, Taiwan
Jau-Chuan Ke: Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan

Asia-Pacific Journal of Operational Research (APJOR), 2008, vol. 25, issue 01, 57-73

Abstract: This paper analyzes the unloader queueing model in whichNidentical trailers are unloaded byRunreliable unloaders. Steady-state analytic solutions are obtained with the assumptions that trip times, unloading times, finishing times, breakdown times, and repair times have exponential distributions. A cost model is developed to determine the optimal values of the number of unloaders and the finishing rate simultaneously, in order to minimize the expected cost per unit time. Numerical results are provided in which several steady-state characteristics of the system are calculated based on assumed numerical values given to the system parameters and the cost elements. Sensitivity analysis is also studied.

Keywords: Cost; queue; sensitivity analysis; system characteristics; unloader breakdowns (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0217595908001638

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