Title: Cost analysis of systems with mixed standby units

Authors: Ibrahim Yusuf; Ya'u Balarabe Musa

Addresses: Department of Mathematical Sciences, Bayero University, Kano, 700241, Nigeria ' Department of Mathematics and Computer Science, Sule Lamido University, Kafin Hausa, Nigeria

Abstract: This paper deals with evaluation of cost of four dissimilar configurations with mixed standby units. The standby units exist as warm and cold standby. It is assumed that failure and repair time of all units are assumed to be exponentially distributed. Explicit expressions for busy period of repairmen, steady-state availability and profit function are derived using linear first order differential equations. Several cases are analysed graphically to investigate the effects of various system parameters on profit. The paper also presents graphical comparison for specific values of system parameters and finds that the optimal system configuration is configuration I.

Keywords: profit; mixed standby; availability.

DOI: 10.1504/IJMRS.2018.095968

International Journal of Mechanisms and Robotic Systems, 2018 Vol.4 No.3, pp.234 - 251

Accepted: 01 Jun 2018
Published online: 05 Nov 2018 *

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